
Time bar (total: 3.1s)
| 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 11 to 10 computations (9.1% saved)
| 338.0ms | 8 256× | 0 | valid |
ival-mult: 93.0ms (51.9% of total)ival-sub: 43.0ms (24% of total)ival-add: 31.0ms (17.3% of total)ival-true: 6.0ms (3.4% of total)exact: 4.0ms (2.2% of total)ival-assert: 3.0ms (1.7% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 7 | 6 | (-5.041762886052921e+276 3.2019178682699316e+121 -1.0864310351108899e+297) | 0 | - | (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z)) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | (*.f64 (-.f64 #s(literal 1 binary64) x) y) |
| 0 | 0 | - | 0 | - | (-.f64 #s(literal 1 binary64) x) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | z |
| 0 | 0 | - | 0 | - | (*.f64 x z) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
+.f64 | (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z)) | nan-rescue | 13 | 0 |
| ↳ | (*.f64 (-.f64 #s(literal 1 binary64) x) y) | overflow | 34 | |
| ↳ | (*.f64 x z) | overflow | 37 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 7 | 0 |
| - | 6 | 243 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 7 | 0 | 0 |
| - | 6 | 0 | 243 |
| number | freq |
|---|---|
| 0 | 243 |
| 1 | 13 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 26.0ms | 512× | 0 | valid |
Compiled 133 to 64 computations (51.9% saved)
ival-mult: 6.0ms (50.9% of total)ival-sub: 3.0ms (25.5% of total)ival-add: 2.0ms (17% 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 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 90 |
| 1 | 80 | 81 |
| 2 | 187 | 81 |
| 3 | 531 | 68 |
| 4 | 1127 | 64 |
| 5 | 1897 | 63 |
| 6 | 2272 | 63 |
| 7 | 2308 | 63 |
| 8 | 2312 | 63 |
| 9 | 2312 | 63 |
| 0 | 8 | 9 |
| 0 | 12 | 9 |
| 1 | 19 | 9 |
| 2 | 29 | 9 |
| 3 | 52 | 9 |
| 4 | 107 | 8 |
| 5 | 155 | 7 |
| 6 | 246 | 7 |
| 7 | 396 | 7 |
| 8 | 558 | 7 |
| 9 | 628 | 7 |
| 10 | 630 | 7 |
| 0 | 630 | 6 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z)) |
| Outputs |
|---|
(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z)) |
(fma.f64 (-.f64 z y) x y) |
Compiled 9 to 8 computations (11.1% saved)
Compiled 0 to 3 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 97.3% | (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z)) |
Compiled 9 to 8 computations (11.1% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 x z) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) x) | |
| cost-diff | 0 | (*.f64 (-.f64 #s(literal 1 binary64) x) y) | |
| cost-diff | 448 | (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 24 |
| 0 | 12 | 24 |
| 1 | 19 | 24 |
| 2 | 29 | 24 |
| 3 | 52 | 24 |
| 4 | 107 | 23 |
| 5 | 155 | 22 |
| 6 | 246 | 22 |
| 7 | 396 | 22 |
| 8 | 558 | 22 |
| 9 | 628 | 22 |
| 10 | 630 | 22 |
| 0 | 630 | 21 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z)) |
(*.f64 (-.f64 #s(literal 1 binary64) x) y) |
(-.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
y |
(*.f64 x z) |
z |
| Outputs |
|---|
(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z)) |
(fma.f64 (-.f64 z y) x y) |
(*.f64 (-.f64 #s(literal 1 binary64) x) y) |
(*.f64 y (-.f64 #s(literal 1 binary64) x)) |
(-.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
y |
(*.f64 x z) |
(*.f64 z x) |
z |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (-.f64 #s(literal 1 binary64) x) | |
| accuracy | 0 | (*.f64 x z) | |
| accuracy | 0.00390625 | (*.f64 (-.f64 #s(literal 1 binary64) x) y) | |
| accuracy | 1.5546813074906176 | (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z)) |
| 13.0ms | 256× | 0 | valid |
Compiled 50 to 18 computations (64% saved)
ival-mult: 3.0ms (52.7% of total)ival-sub: 1.0ms (17.6% of total)ival-add: 1.0ms (17.6% 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 (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z)) (patch (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z)) #<representation binary64>) () ()) |
#s(alt (*.f64 (-.f64 #s(literal 1 binary64) x) y) (patch (*.f64 (-.f64 #s(literal 1 binary64) x) y) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ()) |
#s(alt (*.f64 x z) (patch (*.f64 x z) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* y (- 1 x)) (taylor 0 z) (#s(alt (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z)) (patch (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x z) (* y (- 1 x))) (taylor 0 z) (#s(alt (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z)) (patch (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x z) (* y (- 1 x))) (taylor 0 z) (#s(alt (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z)) (patch (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x z) (* y (- 1 x))) (taylor 0 z) (#s(alt (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z)) (patch (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (* x z) (taylor 0 z) (#s(alt (*.f64 x z) (patch (*.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt (* x z) (taylor 0 z) (#s(alt (*.f64 x z) (patch (*.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt (* x z) (taylor 0 z) (#s(alt (*.f64 x z) (patch (*.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt (* x z) (taylor 0 z) (#s(alt (*.f64 x z) (patch (*.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt (* x z) (taylor inf z) (#s(alt (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z)) (patch (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ x (/ (* y (- 1 x)) z))) (taylor inf z) (#s(alt (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z)) (patch (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ x (/ (* y (- 1 x)) z))) (taylor inf z) (#s(alt (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z)) (patch (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ x (/ (* y (- 1 x)) z))) (taylor inf z) (#s(alt (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z)) (patch (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (* x z) (taylor inf z) (#s(alt (*.f64 x z) (patch (*.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt (* x z) (taylor inf z) (#s(alt (*.f64 x z) (patch (*.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt (* x z) (taylor inf z) (#s(alt (*.f64 x z) (patch (*.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt (* x z) (taylor inf z) (#s(alt (*.f64 x z) (patch (*.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt (* x z) (taylor -inf z) (#s(alt (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z)) (patch (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ (* -1 x) (* -1 (/ (* y (- 1 x)) z))))) (taylor -inf z) (#s(alt (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z)) (patch (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ (* -1 x) (* -1 (/ (* y (- 1 x)) z))))) (taylor -inf z) (#s(alt (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z)) (patch (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ (* -1 x) (* -1 (/ (* y (- 1 x)) z))))) (taylor -inf z) (#s(alt (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z)) (patch (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (* x z) (taylor -inf z) (#s(alt (*.f64 x z) (patch (*.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt (* x z) (taylor -inf z) (#s(alt (*.f64 x z) (patch (*.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt (* x z) (taylor -inf z) (#s(alt (*.f64 x z) (patch (*.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt (* x z) (taylor -inf z) (#s(alt (*.f64 x z) (patch (*.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt (* x z) (taylor 0 y) (#s(alt (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z)) (patch (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x z) (* y (- 1 x))) (taylor 0 y) (#s(alt (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z)) (patch (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x z) (* y (- 1 x))) (taylor 0 y) (#s(alt (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z)) (patch (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x z) (* y (- 1 x))) (taylor 0 y) (#s(alt (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z)) (patch (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (* y (- 1 x)) (taylor 0 y) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) x) y) (patch (*.f64 (-.f64 #s(literal 1 binary64) x) y) #<representation binary64>) () ())) ()) |
#s(alt (* y (- 1 x)) (taylor 0 y) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) x) y) (patch (*.f64 (-.f64 #s(literal 1 binary64) x) y) #<representation binary64>) () ())) ()) |
#s(alt (* y (- 1 x)) (taylor 0 y) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) x) y) (patch (*.f64 (-.f64 #s(literal 1 binary64) x) y) #<representation binary64>) () ())) ()) |
#s(alt (* y (- 1 x)) (taylor 0 y) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) x) y) (patch (*.f64 (-.f64 #s(literal 1 binary64) x) y) #<representation binary64>) () ())) ()) |
#s(alt (* y (- 1 x)) (taylor inf y) (#s(alt (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z)) (patch (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (+ 1 (/ (* x z) y)) x)) (taylor inf y) (#s(alt (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z)) (patch (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (+ 1 (/ (* x z) y)) x)) (taylor inf y) (#s(alt (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z)) (patch (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (+ 1 (/ (* x z) y)) x)) (taylor inf y) (#s(alt (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z)) (patch (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (* y (- 1 x)) (taylor inf y) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) x) y) (patch (*.f64 (-.f64 #s(literal 1 binary64) x) y) #<representation binary64>) () ())) ()) |
#s(alt (* y (- 1 x)) (taylor inf y) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) x) y) (patch (*.f64 (-.f64 #s(literal 1 binary64) x) y) #<representation binary64>) () ())) ()) |
#s(alt (* y (- 1 x)) (taylor inf y) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) x) y) (patch (*.f64 (-.f64 #s(literal 1 binary64) x) y) #<representation binary64>) () ())) ()) |
#s(alt (* y (- 1 x)) (taylor inf y) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) x) y) (patch (*.f64 (-.f64 #s(literal 1 binary64) x) y) #<representation binary64>) () ())) ()) |
#s(alt (* y (- 1 x)) (taylor -inf y) (#s(alt (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z)) (patch (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1 (- 1 x)) (* -1 (/ (* x z) y))))) (taylor -inf y) (#s(alt (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z)) (patch (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1 (- 1 x)) (* -1 (/ (* x z) y))))) (taylor -inf y) (#s(alt (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z)) (patch (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1 (- 1 x)) (* -1 (/ (* x z) y))))) (taylor -inf y) (#s(alt (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z)) (patch (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (* y (- 1 x)) (taylor -inf y) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) x) y) (patch (*.f64 (-.f64 #s(literal 1 binary64) x) y) #<representation binary64>) () ())) ()) |
#s(alt (* y (- 1 x)) (taylor -inf y) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) x) y) (patch (*.f64 (-.f64 #s(literal 1 binary64) x) y) #<representation binary64>) () ())) ()) |
#s(alt (* y (- 1 x)) (taylor -inf y) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) x) y) (patch (*.f64 (-.f64 #s(literal 1 binary64) x) y) #<representation binary64>) () ())) ()) |
#s(alt (* y (- 1 x)) (taylor -inf y) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) x) y) (patch (*.f64 (-.f64 #s(literal 1 binary64) x) y) #<representation binary64>) () ())) ()) |
#s(alt y (taylor 0 x) (#s(alt (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z)) (patch (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (+ y (* x (+ z (* -1 y)))) (taylor 0 x) (#s(alt (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z)) (patch (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (+ y (* x (+ z (* -1 y)))) (taylor 0 x) (#s(alt (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z)) (patch (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (+ y (* x (+ z (* -1 y)))) (taylor 0 x) (#s(alt (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z)) (patch (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt y (taylor 0 x) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) x) y) (patch (*.f64 (-.f64 #s(literal 1 binary64) x) y) #<representation binary64>) () ())) ()) |
#s(alt (+ y (* -1 (* x y))) (taylor 0 x) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) x) y) (patch (*.f64 (-.f64 #s(literal 1 binary64) x) y) #<representation binary64>) () ())) ()) |
#s(alt (+ y (* -1 (* x y))) (taylor 0 x) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) x) y) (patch (*.f64 (-.f64 #s(literal 1 binary64) x) y) #<representation binary64>) () ())) ()) |
#s(alt (+ y (* -1 (* x y))) (taylor 0 x) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) x) y) (patch (*.f64 (-.f64 #s(literal 1 binary64) x) y) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 x)) (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 x)) (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 x)) (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* x z) (taylor 0 x) (#s(alt (*.f64 x z) (patch (*.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt (* x z) (taylor 0 x) (#s(alt (*.f64 x z) (patch (*.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt (* x z) (taylor 0 x) (#s(alt (*.f64 x z) (patch (*.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt (* x z) (taylor 0 x) (#s(alt (*.f64 x z) (patch (*.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ z (* -1 y))) (taylor inf x) (#s(alt (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z)) (patch (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ z (+ (* -1 y) (/ y x)))) (taylor inf x) (#s(alt (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z)) (patch (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ z (+ (* -1 y) (/ y x)))) (taylor inf x) (#s(alt (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z)) (patch (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ z (+ (* -1 y) (/ y x)))) (taylor inf x) (#s(alt (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z)) (patch (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x y)) (taylor inf x) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) x) y) (patch (*.f64 (-.f64 #s(literal 1 binary64) x) y) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* -1 y) (/ y x))) (taylor inf x) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) x) y) (patch (*.f64 (-.f64 #s(literal 1 binary64) x) y) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* -1 y) (/ y x))) (taylor inf x) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) x) y) (patch (*.f64 (-.f64 #s(literal 1 binary64) x) y) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* -1 y) (/ y x))) (taylor inf x) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) x) y) (patch (*.f64 (-.f64 #s(literal 1 binary64) x) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor inf x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (/ 1 x) 1)) (taylor inf x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (/ 1 x) 1)) (taylor inf x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (/ 1 x) 1)) (taylor inf x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* x z) (taylor inf x) (#s(alt (*.f64 x z) (patch (*.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt (* x z) (taylor inf x) (#s(alt (*.f64 x z) (patch (*.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt (* x z) (taylor inf x) (#s(alt (*.f64 x z) (patch (*.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt (* x z) (taylor inf x) (#s(alt (*.f64 x z) (patch (*.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ y (* -1 z)))) (taylor -inf x) (#s(alt (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z)) (patch (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ y (+ (* -1 z) (* -1 (/ y x)))))) (taylor -inf x) (#s(alt (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z)) (patch (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ y (+ (* -1 z) (* -1 (/ y x)))))) (taylor -inf x) (#s(alt (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z)) (patch (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ y (+ (* -1 z) (* -1 (/ y x)))))) (taylor -inf x) (#s(alt (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z)) (patch (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x y)) (taylor -inf x) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) x) y) (patch (*.f64 (-.f64 #s(literal 1 binary64) x) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ y (* -1 (/ y x))))) (taylor -inf x) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) x) y) (patch (*.f64 (-.f64 #s(literal 1 binary64) x) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ y (* -1 (/ y x))))) (taylor -inf x) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) x) y) (patch (*.f64 (-.f64 #s(literal 1 binary64) x) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ y (* -1 (/ y x))))) (taylor -inf x) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) x) y) (patch (*.f64 (-.f64 #s(literal 1 binary64) x) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- 1 (/ 1 x)))) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- 1 (/ 1 x)))) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- 1 (/ 1 x)))) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* x z) (taylor -inf x) (#s(alt (*.f64 x z) (patch (*.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt (* x z) (taylor -inf x) (#s(alt (*.f64 x z) (patch (*.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt (* x z) (taylor -inf x) (#s(alt (*.f64 x z) (patch (*.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt (* x z) (taylor -inf x) (#s(alt (*.f64 x z) (patch (*.f64 x z) #<representation binary64>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | ((+ (* (- 1 x) y) (* x z)) (* (- 1 x) y) (- 1 x) (* x z)) |
| 1.0ms | x | @ | -inf | ((+ (* (- 1 x) y) (* x z)) (* (- 1 x) y) (- 1 x) (* x z)) |
| 1.0ms | y | @ | 0 | ((+ (* (- 1 x) y) (* x z)) (* (- 1 x) y) (- 1 x) (* x z)) |
| 1.0ms | y | @ | inf | ((+ (* (- 1 x) y) (* x z)) (* (- 1 x) y) (- 1 x) (* x z)) |
| 1.0ms | z | @ | inf | ((+ (* (- 1 x) y) (* x z)) (* (- 1 x) y) (- 1 x) (* x z)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 57 | 498 |
| 1 | 192 | 442 |
| 2 | 558 | 442 |
| 3 | 1392 | 442 |
| 4 | 3879 | 442 |
| 5 | 6297 | 442 |
| 0 | 8009 | 415 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* y (- 1 x)) |
(+ (* x z) (* y (- 1 x))) |
(+ (* x z) (* y (- 1 x))) |
(+ (* x z) (* y (- 1 x))) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* z (+ x (/ (* y (- 1 x)) z))) |
(* z (+ x (/ (* y (- 1 x)) z))) |
(* z (+ x (/ (* y (- 1 x)) z))) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* -1 (* z (+ (* -1 x) (* -1 (/ (* y (- 1 x)) z))))) |
(* -1 (* z (+ (* -1 x) (* -1 (/ (* y (- 1 x)) z))))) |
(* -1 (* z (+ (* -1 x) (* -1 (/ (* y (- 1 x)) z))))) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(+ (* x z) (* y (- 1 x))) |
(+ (* x z) (* y (- 1 x))) |
(+ (* x z) (* y (- 1 x))) |
(* y (- 1 x)) |
(* y (- 1 x)) |
(* y (- 1 x)) |
(* y (- 1 x)) |
(* y (- 1 x)) |
(* y (- (+ 1 (/ (* x z) y)) x)) |
(* y (- (+ 1 (/ (* x z) y)) x)) |
(* y (- (+ 1 (/ (* x z) y)) x)) |
(* y (- 1 x)) |
(* y (- 1 x)) |
(* y (- 1 x)) |
(* y (- 1 x)) |
(* y (- 1 x)) |
(* -1 (* y (+ (* -1 (- 1 x)) (* -1 (/ (* x z) y))))) |
(* -1 (* y (+ (* -1 (- 1 x)) (* -1 (/ (* x z) y))))) |
(* -1 (* y (+ (* -1 (- 1 x)) (* -1 (/ (* x z) y))))) |
(* y (- 1 x)) |
(* y (- 1 x)) |
(* y (- 1 x)) |
(* y (- 1 x)) |
y |
(+ y (* x (+ z (* -1 y)))) |
(+ y (* x (+ z (* -1 y)))) |
(+ y (* x (+ z (* -1 y)))) |
y |
(+ y (* -1 (* x y))) |
(+ y (* -1 (* x y))) |
(+ y (* -1 (* x y))) |
1 |
(+ 1 (* -1 x)) |
(+ 1 (* -1 x)) |
(+ 1 (* -1 x)) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x (+ z (* -1 y))) |
(* x (+ z (+ (* -1 y) (/ y x)))) |
(* x (+ z (+ (* -1 y) (/ y x)))) |
(* x (+ z (+ (* -1 y) (/ y x)))) |
(* -1 (* x y)) |
(* x (+ (* -1 y) (/ y x))) |
(* x (+ (* -1 y) (/ y x))) |
(* x (+ (* -1 y) (/ y x))) |
(* -1 x) |
(* x (- (/ 1 x) 1)) |
(* x (- (/ 1 x) 1)) |
(* x (- (/ 1 x) 1)) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* -1 (* x (+ y (* -1 z)))) |
(* -1 (* x (+ y (+ (* -1 z) (* -1 (/ y x)))))) |
(* -1 (* x (+ y (+ (* -1 z) (* -1 (/ y x)))))) |
(* -1 (* x (+ y (+ (* -1 z) (* -1 (/ y x)))))) |
(* -1 (* x y)) |
(* -1 (* x (+ y (* -1 (/ y x))))) |
(* -1 (* x (+ y (* -1 (/ y x))))) |
(* -1 (* x (+ y (* -1 (/ y x))))) |
(* -1 x) |
(* -1 (* x (- 1 (/ 1 x)))) |
(* -1 (* x (- 1 (/ 1 x)))) |
(* -1 (* x (- 1 (/ 1 x)))) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
| Outputs |
|---|
(* y (- 1 x)) |
(*.f64 (-.f64 #s(literal 1 binary64) x) y) |
(+ (* x z) (* y (- 1 x))) |
(fma.f64 (-.f64 z y) x y) |
(+ (* x z) (* y (- 1 x))) |
(fma.f64 (-.f64 z y) x y) |
(+ (* x z) (* y (- 1 x))) |
(fma.f64 (-.f64 z y) x y) |
(* x z) |
(*.f64 z x) |
(* x z) |
(*.f64 z x) |
(* x z) |
(*.f64 z x) |
(* x z) |
(*.f64 z x) |
(* x z) |
(*.f64 z x) |
(* z (+ x (/ (* y (- 1 x)) z))) |
(fma.f64 (-.f64 z y) x y) |
(* z (+ x (/ (* y (- 1 x)) z))) |
(fma.f64 (-.f64 z y) x y) |
(* z (+ x (/ (* y (- 1 x)) z))) |
(fma.f64 (-.f64 z y) x y) |
(* x z) |
(*.f64 z x) |
(* x z) |
(*.f64 z x) |
(* x z) |
(*.f64 z x) |
(* x z) |
(*.f64 z x) |
(* x z) |
(*.f64 z x) |
(* -1 (* z (+ (* -1 x) (* -1 (/ (* y (- 1 x)) z))))) |
(fma.f64 (-.f64 z y) x y) |
(* -1 (* z (+ (* -1 x) (* -1 (/ (* y (- 1 x)) z))))) |
(fma.f64 (-.f64 z y) x y) |
(* -1 (* z (+ (* -1 x) (* -1 (/ (* y (- 1 x)) z))))) |
(fma.f64 (-.f64 z y) x y) |
(* x z) |
(*.f64 z x) |
(* x z) |
(*.f64 z x) |
(* x z) |
(*.f64 z x) |
(* x z) |
(*.f64 z x) |
(* x z) |
(*.f64 z x) |
(+ (* x z) (* y (- 1 x))) |
(fma.f64 (-.f64 z y) x y) |
(+ (* x z) (* y (- 1 x))) |
(fma.f64 (-.f64 z y) x y) |
(+ (* x z) (* y (- 1 x))) |
(fma.f64 (-.f64 z y) x y) |
(* y (- 1 x)) |
(*.f64 (-.f64 #s(literal 1 binary64) x) y) |
(* y (- 1 x)) |
(*.f64 (-.f64 #s(literal 1 binary64) x) y) |
(* y (- 1 x)) |
(*.f64 (-.f64 #s(literal 1 binary64) x) y) |
(* y (- 1 x)) |
(*.f64 (-.f64 #s(literal 1 binary64) x) y) |
(* y (- 1 x)) |
(*.f64 (-.f64 #s(literal 1 binary64) x) y) |
(* y (- (+ 1 (/ (* x z) y)) x)) |
(fma.f64 (-.f64 z y) x y) |
(* y (- (+ 1 (/ (* x z) y)) x)) |
(fma.f64 (-.f64 z y) x y) |
(* y (- (+ 1 (/ (* x z) y)) x)) |
(fma.f64 (-.f64 z y) x y) |
(* y (- 1 x)) |
(*.f64 (-.f64 #s(literal 1 binary64) x) y) |
(* y (- 1 x)) |
(*.f64 (-.f64 #s(literal 1 binary64) x) y) |
(* y (- 1 x)) |
(*.f64 (-.f64 #s(literal 1 binary64) x) y) |
(* y (- 1 x)) |
(*.f64 (-.f64 #s(literal 1 binary64) x) y) |
(* y (- 1 x)) |
(*.f64 (-.f64 #s(literal 1 binary64) x) y) |
(* -1 (* y (+ (* -1 (- 1 x)) (* -1 (/ (* x z) y))))) |
(fma.f64 (-.f64 z y) x y) |
(* -1 (* y (+ (* -1 (- 1 x)) (* -1 (/ (* x z) y))))) |
(fma.f64 (-.f64 z y) x y) |
(* -1 (* y (+ (* -1 (- 1 x)) (* -1 (/ (* x z) y))))) |
(fma.f64 (-.f64 z y) x y) |
(* y (- 1 x)) |
(*.f64 (-.f64 #s(literal 1 binary64) x) y) |
(* y (- 1 x)) |
(*.f64 (-.f64 #s(literal 1 binary64) x) y) |
(* y (- 1 x)) |
(*.f64 (-.f64 #s(literal 1 binary64) x) y) |
(* y (- 1 x)) |
(*.f64 (-.f64 #s(literal 1 binary64) x) y) |
y |
(+ y (* x (+ z (* -1 y)))) |
(fma.f64 (-.f64 z y) x y) |
(+ y (* x (+ z (* -1 y)))) |
(fma.f64 (-.f64 z y) x y) |
(+ y (* x (+ z (* -1 y)))) |
(fma.f64 (-.f64 z y) x y) |
y |
(+ y (* -1 (* x y))) |
(*.f64 (-.f64 #s(literal 1 binary64) x) y) |
(+ y (* -1 (* x y))) |
(*.f64 (-.f64 #s(literal 1 binary64) x) y) |
(+ y (* -1 (* x y))) |
(*.f64 (-.f64 #s(literal 1 binary64) x) y) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
(* x z) |
(*.f64 z x) |
(* x z) |
(*.f64 z x) |
(* x z) |
(*.f64 z x) |
(* x z) |
(*.f64 z x) |
(* x (+ z (* -1 y))) |
(*.f64 (-.f64 z y) x) |
(* x (+ z (+ (* -1 y) (/ y x)))) |
(fma.f64 (-.f64 z y) x y) |
(* x (+ z (+ (* -1 y) (/ y x)))) |
(fma.f64 (-.f64 z y) x y) |
(* x (+ z (+ (* -1 y) (/ y x)))) |
(fma.f64 (-.f64 z y) x y) |
(* -1 (* x y)) |
(*.f64 (neg.f64 y) x) |
(* x (+ (* -1 y) (/ y x))) |
(*.f64 (-.f64 #s(literal 1 binary64) x) y) |
(* x (+ (* -1 y) (/ y x))) |
(*.f64 (-.f64 #s(literal 1 binary64) x) y) |
(* x (+ (* -1 y) (/ y x))) |
(*.f64 (-.f64 #s(literal 1 binary64) x) y) |
(* -1 x) |
(neg.f64 x) |
(* x (- (/ 1 x) 1)) |
(-.f64 #s(literal 1 binary64) x) |
(* x (- (/ 1 x) 1)) |
(-.f64 #s(literal 1 binary64) x) |
(* x (- (/ 1 x) 1)) |
(-.f64 #s(literal 1 binary64) x) |
(* x z) |
(*.f64 z x) |
(* x z) |
(*.f64 z x) |
(* x z) |
(*.f64 z x) |
(* x z) |
(*.f64 z x) |
(* -1 (* x (+ y (* -1 z)))) |
(*.f64 (-.f64 z y) x) |
(* -1 (* x (+ y (+ (* -1 z) (* -1 (/ y x)))))) |
(fma.f64 (-.f64 z y) x y) |
(* -1 (* x (+ y (+ (* -1 z) (* -1 (/ y x)))))) |
(fma.f64 (-.f64 z y) x y) |
(* -1 (* x (+ y (+ (* -1 z) (* -1 (/ y x)))))) |
(fma.f64 (-.f64 z y) x y) |
(* -1 (* x y)) |
(*.f64 (neg.f64 y) x) |
(* -1 (* x (+ y (* -1 (/ y x))))) |
(*.f64 (-.f64 #s(literal 1 binary64) x) y) |
(* -1 (* x (+ y (* -1 (/ y x))))) |
(*.f64 (-.f64 #s(literal 1 binary64) x) y) |
(* -1 (* x (+ y (* -1 (/ y x))))) |
(*.f64 (-.f64 #s(literal 1 binary64) x) y) |
(* -1 x) |
(neg.f64 x) |
(* -1 (* x (- 1 (/ 1 x)))) |
(-.f64 #s(literal 1 binary64) x) |
(* -1 (* x (- 1 (/ 1 x)))) |
(-.f64 #s(literal 1 binary64) x) |
(* -1 (* x (- 1 (/ 1 x)))) |
(-.f64 #s(literal 1 binary64) x) |
(* x z) |
(*.f64 z x) |
(* x z) |
(*.f64 z x) |
(* x z) |
(*.f64 z x) |
(* x z) |
(*.f64 z x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 20 |
| 0 | 12 | 20 |
| 1 | 44 | 20 |
| 2 | 313 | 20 |
| 3 | 3728 | 20 |
| 0 | 12507 | 19 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z)) |
(*.f64 (-.f64 #s(literal 1 binary64) x) y) |
(-.f64 #s(literal 1 binary64) x) |
(*.f64 x z) |
| Outputs |
|---|
#<batchref> |
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Compiled 7 614 to 921 computations (87.9% saved)
5 alts after pruning (5 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 373 | 5 | 378 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 374 | 5 | 379 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.2% | (fma.f64 (-.f64 #s(literal 1 binary64) x) y (*.f64 z x)) |
| ▶ | 100.0% | #s(approx (+ (* (- 1 x) y) (* x z)) (fma.f64 (-.f64 z y) x y)) |
| ▶ | 67.8% | #s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 (-.f64 z y) x)) |
| ▶ | 56.2% | #s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 (-.f64 #s(literal 1 binary64) x) y)) |
| ▶ | 45.7% | #s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 z x)) |
Compiled 62 to 62 computations (0% saved)
| 1× | egg-herbie |
Found 14 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 z x) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) x) | |
| cost-diff | 320 | (fma.f64 (-.f64 #s(literal 1 binary64) x) y (*.f64 z x)) | |
| cost-diff | 0 | (-.f64 z y) | |
| cost-diff | 0 | (*.f64 (-.f64 z y) x) | |
| cost-diff | 0 | #s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 (-.f64 z y) x)) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) x) | |
| cost-diff | 0 | (*.f64 (-.f64 #s(literal 1 binary64) x) y) | |
| cost-diff | 0 | #s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 (-.f64 #s(literal 1 binary64) x) y)) | |
| cost-diff | 0 | (*.f64 z x) | |
| cost-diff | 0 | #s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 z x)) | |
| cost-diff | 0 | (-.f64 z y) | |
| cost-diff | 0 | (fma.f64 (-.f64 z y) x y) | |
| cost-diff | 0 | #s(approx (+ (* (- 1 x) y) (* x z)) (fma.f64 (-.f64 z y) x y)) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 116 |
| 0 | 26 | 110 |
| 1 | 37 | 110 |
| 2 | 54 | 102 |
| 3 | 87 | 102 |
| 4 | 150 | 102 |
| 5 | 212 | 102 |
| 6 | 339 | 102 |
| 7 | 527 | 102 |
| 8 | 693 | 102 |
| 9 | 714 | 102 |
| 10 | 714 | 102 |
| 0 | 714 | 102 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ (* (- 1 x) y) (* x z)) (fma.f64 (-.f64 z y) x y)) |
(fma.f64 (-.f64 z y) x y) |
(-.f64 z y) |
z |
y |
x |
#s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 z x)) |
(*.f64 z x) |
z |
x |
#s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 (-.f64 #s(literal 1 binary64) x) y)) |
(*.f64 (-.f64 #s(literal 1 binary64) x) y) |
(-.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
y |
#s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 (-.f64 z y) x)) |
(*.f64 (-.f64 z y) x) |
(-.f64 z y) |
z |
y |
x |
(fma.f64 (-.f64 #s(literal 1 binary64) x) y (*.f64 z x)) |
(-.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
y |
(*.f64 z x) |
z |
| Outputs |
|---|
#s(approx (+ (* (- 1 x) y) (* x z)) (fma.f64 (-.f64 z y) x y)) |
#s(approx (+ (* (- 1 x) y) (* x z)) (fma.f64 x (-.f64 z y) y)) |
(fma.f64 (-.f64 z y) x y) |
(fma.f64 x (-.f64 z y) y) |
(-.f64 z y) |
z |
y |
x |
#s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 z x)) |
#s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 x z)) |
(*.f64 z x) |
(*.f64 x z) |
z |
x |
#s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 (-.f64 #s(literal 1 binary64) x) y)) |
(*.f64 (-.f64 #s(literal 1 binary64) x) y) |
(-.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
y |
#s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 (-.f64 z y) x)) |
#s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 x (-.f64 z y))) |
(*.f64 (-.f64 z y) x) |
(*.f64 x (-.f64 z y)) |
(-.f64 z y) |
z |
y |
x |
(fma.f64 (-.f64 #s(literal 1 binary64) x) y (*.f64 z x)) |
(fma.f64 x (-.f64 z y) y) |
(-.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
y |
(*.f64 z x) |
(*.f64 x z) |
z |
Found 14 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (-.f64 #s(literal 1 binary64) x) | |
| accuracy | 0 | (*.f64 z x) | |
| accuracy | 0.5039007452111204 | (fma.f64 (-.f64 #s(literal 1 binary64) x) y (*.f64 z x)) | |
| accuracy | 0 | (-.f64 z y) | |
| accuracy | 0.03125 | (*.f64 (-.f64 z y) x) | |
| accuracy | 20.61174334610985 | #s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 (-.f64 z y) x)) | |
| accuracy | 0 | (-.f64 #s(literal 1 binary64) x) | |
| accuracy | 0.00390625 | (*.f64 (-.f64 #s(literal 1 binary64) x) y) | |
| accuracy | 28.01583240356958 | #s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 (-.f64 #s(literal 1 binary64) x) y)) | |
| accuracy | 0 | (*.f64 z x) | |
| accuracy | 34.771468043597864 | #s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 z x)) | |
| accuracy | 0 | (-.f64 z y) | |
| accuracy | 0 | #s(approx (+ (* (- 1 x) y) (* x z)) (fma.f64 (-.f64 z y) x y)) | |
| accuracy | 0.01953125 | (fma.f64 (-.f64 z y) x y) |
| 22.0ms | 256× | 0 | valid |
Compiled 177 to 30 computations (83.1% saved)
ival-mult: 6.0ms (54.1% of total)ival-add: 3.0ms (27% of total)ival-sub: 2.0ms (18% 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 (+ (* (- 1 x) y) (* x z)) (fma.f64 (-.f64 z y) x y)) (patch #s(approx (+ (* (- 1 x) y) (* x z)) (fma.f64 (-.f64 z y) x y)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (-.f64 z y) x y) (patch (fma.f64 (-.f64 z y) x y) #<representation binary64>) () ()) |
#s(alt (-.f64 z y) (patch (-.f64 z y) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 z x)) (patch #s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 z x)) #<representation binary64>) () ()) |
#s(alt (*.f64 z x) (patch (*.f64 z x) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 (-.f64 #s(literal 1 binary64) x) y)) (patch #s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 (-.f64 #s(literal 1 binary64) x) y)) #<representation binary64>) () ()) |
#s(alt (*.f64 (-.f64 #s(literal 1 binary64) x) y) (patch (*.f64 (-.f64 #s(literal 1 binary64) x) y) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 (-.f64 z y) x)) (patch #s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 (-.f64 z y) x)) #<representation binary64>) () ()) |
#s(alt (*.f64 (-.f64 z y) x) (patch (*.f64 (-.f64 z y) x) #<representation binary64>) () ()) |
#s(alt (fma.f64 (-.f64 #s(literal 1 binary64) x) y (*.f64 z x)) (patch (fma.f64 (-.f64 #s(literal 1 binary64) x) y (*.f64 z x)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* y (- 1 x)) (taylor 0 z) (#s(alt #s(approx (+ (* (- 1 x) y) (* x z)) (fma.f64 (-.f64 z y) x y)) (patch #s(approx (+ (* (- 1 x) y) (* x z)) (fma.f64 (-.f64 z y) x y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x z) (* y (- 1 x))) (taylor 0 z) (#s(alt #s(approx (+ (* (- 1 x) y) (* x z)) (fma.f64 (-.f64 z y) x y)) (patch #s(approx (+ (* (- 1 x) y) (* x z)) (fma.f64 (-.f64 z y) x y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x z) (* y (- 1 x))) (taylor 0 z) (#s(alt #s(approx (+ (* (- 1 x) y) (* x z)) (fma.f64 (-.f64 z y) x y)) (patch #s(approx (+ (* (- 1 x) y) (* x z)) (fma.f64 (-.f64 z y) x y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x z) (* y (- 1 x))) (taylor 0 z) (#s(alt #s(approx (+ (* (- 1 x) y) (* x z)) (fma.f64 (-.f64 z y) x y)) (patch #s(approx (+ (* (- 1 x) y) (* x z)) (fma.f64 (-.f64 z y) x y)) #<representation binary64>) () ())) ()) |
#s(alt (+ y (* -1 (* x y))) (taylor 0 z) (#s(alt (fma.f64 (-.f64 z y) x y) (patch (fma.f64 (-.f64 z y) x y) #<representation binary64>) () ())) ()) |
#s(alt (+ y (+ (* -1 (* x y)) (* x z))) (taylor 0 z) (#s(alt (fma.f64 (-.f64 z y) x y) (patch (fma.f64 (-.f64 z y) x y) #<representation binary64>) () ())) ()) |
#s(alt (+ y (+ (* -1 (* x y)) (* x z))) (taylor 0 z) (#s(alt (fma.f64 (-.f64 z y) x y) (patch (fma.f64 (-.f64 z y) x y) #<representation binary64>) () ())) ()) |
#s(alt (+ y (+ (* -1 (* x y)) (* x z))) (taylor 0 z) (#s(alt (fma.f64 (-.f64 z y) x y) (patch (fma.f64 (-.f64 z y) x y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 y) (taylor 0 z) (#s(alt (-.f64 z y) (patch (-.f64 z y) #<representation binary64>) () ())) ()) |
#s(alt (- z y) (taylor 0 z) (#s(alt (-.f64 z y) (patch (-.f64 z y) #<representation binary64>) () ())) ()) |
#s(alt (- z y) (taylor 0 z) (#s(alt (-.f64 z y) (patch (-.f64 z y) #<representation binary64>) () ())) ()) |
#s(alt (- z y) (taylor 0 z) (#s(alt (-.f64 z y) (patch (-.f64 z y) #<representation binary64>) () ())) ()) |
#s(alt (* y (- 1 x)) (taylor 0 z) (#s(alt #s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 z x)) (patch #s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x z) (* y (- 1 x))) (taylor 0 z) (#s(alt #s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 z x)) (patch #s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x z) (* y (- 1 x))) (taylor 0 z) (#s(alt #s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 z x)) (patch #s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x z) (* y (- 1 x))) (taylor 0 z) (#s(alt #s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 z x)) (patch #s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (* x z) (taylor 0 z) (#s(alt (*.f64 z x) (patch (*.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (* x z) (taylor 0 z) (#s(alt (*.f64 z x) (patch (*.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (* x z) (taylor 0 z) (#s(alt (*.f64 z x) (patch (*.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (* x z) (taylor 0 z) (#s(alt (*.f64 z x) (patch (*.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (* y (- 1 x)) (taylor 0 z) (#s(alt #s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 (-.f64 #s(literal 1 binary64) x) y)) (patch #s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 (-.f64 #s(literal 1 binary64) x) y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x z) (* y (- 1 x))) (taylor 0 z) (#s(alt #s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 (-.f64 #s(literal 1 binary64) x) y)) (patch #s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 (-.f64 #s(literal 1 binary64) x) y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x z) (* y (- 1 x))) (taylor 0 z) (#s(alt #s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 (-.f64 #s(literal 1 binary64) x) y)) (patch #s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 (-.f64 #s(literal 1 binary64) x) y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x z) (* y (- 1 x))) (taylor 0 z) (#s(alt #s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 (-.f64 #s(literal 1 binary64) x) y)) (patch #s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 (-.f64 #s(literal 1 binary64) x) y)) #<representation binary64>) () ())) ()) |
#s(alt (* y (- 1 x)) (taylor 0 z) (#s(alt #s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 (-.f64 z y) x)) (patch #s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 (-.f64 z y) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x z) (* y (- 1 x))) (taylor 0 z) (#s(alt #s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 (-.f64 z y) x)) (patch #s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 (-.f64 z y) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x z) (* y (- 1 x))) (taylor 0 z) (#s(alt #s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 (-.f64 z y) x)) (patch #s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 (-.f64 z y) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x z) (* y (- 1 x))) (taylor 0 z) (#s(alt #s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 (-.f64 z y) x)) (patch #s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 (-.f64 z y) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x y)) (taylor 0 z) (#s(alt (*.f64 (-.f64 z y) x) (patch (*.f64 (-.f64 z y) x) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* x y)) (* x z)) (taylor 0 z) (#s(alt (*.f64 (-.f64 z y) x) (patch (*.f64 (-.f64 z y) x) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* x y)) (* x z)) (taylor 0 z) (#s(alt (*.f64 (-.f64 z y) x) (patch (*.f64 (-.f64 z y) x) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* x y)) (* x z)) (taylor 0 z) (#s(alt (*.f64 (-.f64 z y) x) (patch (*.f64 (-.f64 z y) x) #<representation binary64>) () ())) ()) |
#s(alt (* y (- 1 x)) (taylor 0 z) (#s(alt (fma.f64 (-.f64 #s(literal 1 binary64) x) y (*.f64 z x)) (patch (fma.f64 (-.f64 #s(literal 1 binary64) x) y (*.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x z) (* y (- 1 x))) (taylor 0 z) (#s(alt (fma.f64 (-.f64 #s(literal 1 binary64) x) y (*.f64 z x)) (patch (fma.f64 (-.f64 #s(literal 1 binary64) x) y (*.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x z) (* y (- 1 x))) (taylor 0 z) (#s(alt (fma.f64 (-.f64 #s(literal 1 binary64) x) y (*.f64 z x)) (patch (fma.f64 (-.f64 #s(literal 1 binary64) x) y (*.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x z) (* y (- 1 x))) (taylor 0 z) (#s(alt (fma.f64 (-.f64 #s(literal 1 binary64) x) y (*.f64 z x)) (patch (fma.f64 (-.f64 #s(literal 1 binary64) x) y (*.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (* x z) (taylor inf z) (#s(alt #s(approx (+ (* (- 1 x) y) (* x z)) (fma.f64 (-.f64 z y) x y)) (patch #s(approx (+ (* (- 1 x) y) (* x z)) (fma.f64 (-.f64 z y) x y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ x (/ (* y (- 1 x)) z))) (taylor inf z) (#s(alt #s(approx (+ (* (- 1 x) y) (* x z)) (fma.f64 (-.f64 z y) x y)) (patch #s(approx (+ (* (- 1 x) y) (* x z)) (fma.f64 (-.f64 z y) x y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ x (/ (* y (- 1 x)) z))) (taylor inf z) (#s(alt #s(approx (+ (* (- 1 x) y) (* x z)) (fma.f64 (-.f64 z y) x y)) (patch #s(approx (+ (* (- 1 x) y) (* x z)) (fma.f64 (-.f64 z y) x y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ x (/ (* y (- 1 x)) z))) (taylor inf z) (#s(alt #s(approx (+ (* (- 1 x) y) (* x z)) (fma.f64 (-.f64 z y) x y)) (patch #s(approx (+ (* (- 1 x) y) (* x z)) (fma.f64 (-.f64 z y) x y)) #<representation binary64>) () ())) ()) |
#s(alt (* x z) (taylor inf z) (#s(alt (fma.f64 (-.f64 z y) x y) (patch (fma.f64 (-.f64 z y) x y) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ x (+ (* -1 (/ (* x y) z)) (/ y z)))) (taylor inf z) (#s(alt (fma.f64 (-.f64 z y) x y) (patch (fma.f64 (-.f64 z y) x y) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ x (+ (* -1 (/ (* x y) z)) (/ y z)))) (taylor inf z) (#s(alt (fma.f64 (-.f64 z y) x y) (patch (fma.f64 (-.f64 z y) x y) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ x (+ (* -1 (/ (* x y) z)) (/ y z)))) (taylor inf z) (#s(alt (fma.f64 (-.f64 z y) x y) (patch (fma.f64 (-.f64 z y) x y) #<representation binary64>) () ())) ()) |
#s(alt z (taylor inf z) (#s(alt (-.f64 z y) (patch (-.f64 z y) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ 1 (* -1 (/ y z)))) (taylor inf z) (#s(alt (-.f64 z y) (patch (-.f64 z y) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ 1 (* -1 (/ y z)))) (taylor inf z) (#s(alt (-.f64 z y) (patch (-.f64 z y) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ 1 (* -1 (/ y z)))) (taylor inf z) (#s(alt (-.f64 z y) (patch (-.f64 z y) #<representation binary64>) () ())) ()) |
#s(alt (* x z) (taylor inf z) (#s(alt #s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 z x)) (patch #s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ x (/ (* y (- 1 x)) z))) (taylor inf z) (#s(alt #s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 z x)) (patch #s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ x (/ (* y (- 1 x)) z))) (taylor inf z) (#s(alt #s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 z x)) (patch #s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ x (/ (* y (- 1 x)) z))) (taylor inf z) (#s(alt #s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 z x)) (patch #s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 z x)) #<representation binary64>) () ())) ()) |
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#s(alt (* x (- z y)) (taylor -inf x) (#s(alt (*.f64 (-.f64 z y) x) (patch (*.f64 (-.f64 z y) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ y (* -1 z)))) (taylor -inf x) (#s(alt (fma.f64 (-.f64 #s(literal 1 binary64) x) y (*.f64 z x)) (patch (fma.f64 (-.f64 #s(literal 1 binary64) x) y (*.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ y (+ (* -1 z) (* -1 (/ y x)))))) (taylor -inf x) (#s(alt (fma.f64 (-.f64 #s(literal 1 binary64) x) y (*.f64 z x)) (patch (fma.f64 (-.f64 #s(literal 1 binary64) x) y (*.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ y (+ (* -1 z) (* -1 (/ y x)))))) (taylor -inf x) (#s(alt (fma.f64 (-.f64 #s(literal 1 binary64) x) y (*.f64 z x)) (patch (fma.f64 (-.f64 #s(literal 1 binary64) x) y (*.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ y (+ (* -1 z) (* -1 (/ y x)))))) (taylor -inf x) (#s(alt (fma.f64 (-.f64 #s(literal 1 binary64) x) y (*.f64 z x)) (patch (fma.f64 (-.f64 #s(literal 1 binary64) x) y (*.f64 z x)) #<representation binary64>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | -inf | ((+ (* (- 1 x) y) (* x z)) (+ (* (- z y) x) y) (- z y) (+ (* (- 1 x) y) (* x z)) (* z x) (+ (* (- 1 x) y) (* x z)) (* (- 1 x) y) (- 1 x) (+ (* (- 1 x) y) (* x z)) (* (- z y) x) (+ (* (- 1 x) y) (* z x))) |
| 1.0ms | x | @ | inf | ((+ (* (- 1 x) y) (* x z)) (+ (* (- z y) x) y) (- z y) (+ (* (- 1 x) y) (* x z)) (* z x) (+ (* (- 1 x) y) (* x z)) (* (- 1 x) y) (- 1 x) (+ (* (- 1 x) y) (* x z)) (* (- z y) x) (+ (* (- 1 x) y) (* z x))) |
| 1.0ms | z | @ | -inf | ((+ (* (- 1 x) y) (* x z)) (+ (* (- z y) x) y) (- z y) (+ (* (- 1 x) y) (* x z)) (* z x) (+ (* (- 1 x) y) (* x z)) (* (- 1 x) y) (- 1 x) (+ (* (- 1 x) y) (* x z)) (* (- z y) x) (+ (* (- 1 x) y) (* z x))) |
| 1.0ms | y | @ | -inf | ((+ (* (- 1 x) y) (* x z)) (+ (* (- z y) x) y) (- z y) (+ (* (- 1 x) y) (* x z)) (* z x) (+ (* (- 1 x) y) (* x z)) (* (- 1 x) y) (- 1 x) (+ (* (- 1 x) y) (* x z)) (* (- z y) x) (+ (* (- 1 x) y) (* z x))) |
| 1.0ms | y | @ | inf | ((+ (* (- 1 x) y) (* x z)) (+ (* (- z y) x) y) (- z y) (+ (* (- 1 x) y) (* x z)) (* z x) (+ (* (- 1 x) y) (* x z)) (* (- 1 x) y) (- 1 x) (+ (* (- 1 x) y) (* x z)) (* (- z y) x) (+ (* (- 1 x) y) (* z x))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 113 | 2246 |
| 1 | 388 | 1796 |
| 2 | 1116 | 1796 |
| 3 | 2669 | 1796 |
| 4 | 5331 | 1796 |
| 5 | 7591 | 1796 |
| 0 | 8017 | 1634 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* y (- 1 x)) |
(+ (* x z) (* y (- 1 x))) |
(+ (* x z) (* y (- 1 x))) |
(+ (* x z) (* y (- 1 x))) |
(+ y (* -1 (* x y))) |
(+ y (+ (* -1 (* x y)) (* x z))) |
(+ y (+ (* -1 (* x y)) (* x z))) |
(+ y (+ (* -1 (* x y)) (* x z))) |
(* -1 y) |
(- z y) |
(- z y) |
(- z y) |
(* y (- 1 x)) |
(+ (* x z) (* y (- 1 x))) |
(+ (* x z) (* y (- 1 x))) |
(+ (* x z) (* y (- 1 x))) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* y (- 1 x)) |
(+ (* x z) (* y (- 1 x))) |
(+ (* x z) (* y (- 1 x))) |
(+ (* x z) (* y (- 1 x))) |
(* y (- 1 x)) |
(+ (* x z) (* y (- 1 x))) |
(+ (* x z) (* y (- 1 x))) |
(+ (* x z) (* y (- 1 x))) |
(* -1 (* x y)) |
(+ (* -1 (* x y)) (* x z)) |
(+ (* -1 (* x y)) (* x z)) |
(+ (* -1 (* x y)) (* x z)) |
(* y (- 1 x)) |
(+ (* x z) (* y (- 1 x))) |
(+ (* x z) (* y (- 1 x))) |
(+ (* x z) (* y (- 1 x))) |
(* x z) |
(* z (+ x (/ (* y (- 1 x)) z))) |
(* z (+ x (/ (* y (- 1 x)) z))) |
(* z (+ x (/ (* y (- 1 x)) z))) |
(* x z) |
(* z (+ x (+ (* -1 (/ (* x y) z)) (/ y z)))) |
(* z (+ x (+ (* -1 (/ (* x y) z)) (/ y z)))) |
(* z (+ x (+ (* -1 (/ (* x y) z)) (/ y z)))) |
z |
(* z (+ 1 (* -1 (/ y z)))) |
(* z (+ 1 (* -1 (/ y z)))) |
(* z (+ 1 (* -1 (/ y z)))) |
(* x z) |
(* z (+ x (/ (* y (- 1 x)) z))) |
(* z (+ x (/ (* y (- 1 x)) z))) |
(* z (+ x (/ (* y (- 1 x)) z))) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* z (+ x (/ (* y (- 1 x)) z))) |
(* z (+ x (/ (* y (- 1 x)) z))) |
(* z (+ x (/ (* y (- 1 x)) z))) |
(* x z) |
(* z (+ x (/ (* y (- 1 x)) z))) |
(* z (+ x (/ (* y (- 1 x)) z))) |
(* z (+ x (/ (* y (- 1 x)) z))) |
(* x z) |
(* z (+ x (* -1 (/ (* x y) z)))) |
(* z (+ x (* -1 (/ (* x y) z)))) |
(* z (+ x (* -1 (/ (* x y) z)))) |
(* x z) |
(* z (+ x (/ (* y (- 1 x)) z))) |
(* z (+ x (/ (* y (- 1 x)) z))) |
(* z (+ x (/ (* y (- 1 x)) z))) |
(* x z) |
(* -1 (* z (+ (* -1 x) (* -1 (/ (* y (- 1 x)) z))))) |
(* -1 (* z (+ (* -1 x) (* -1 (/ (* y (- 1 x)) z))))) |
(* -1 (* z (+ (* -1 x) (* -1 (/ (* y (- 1 x)) z))))) |
(* x z) |
(* -1 (* z (+ (* -1 x) (* -1 (/ (+ y (* -1 (* x y))) z))))) |
(* -1 (* z (+ (* -1 x) (* -1 (/ (+ y (* -1 (* x y))) z))))) |
(* -1 (* z (+ (* -1 x) (* -1 (/ (+ y (* -1 (* x y))) z))))) |
z |
(* -1 (* z (- (/ y z) 1))) |
(* -1 (* z (- (/ y z) 1))) |
(* -1 (* z (- (/ y z) 1))) |
(* x z) |
(* -1 (* z (+ (* -1 x) (* -1 (/ (* y (- 1 x)) z))))) |
(* -1 (* z (+ (* -1 x) (* -1 (/ (* y (- 1 x)) z))))) |
(* -1 (* z (+ (* -1 x) (* -1 (/ (* y (- 1 x)) z))))) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* -1 (* z (+ (* -1 x) (* -1 (/ (* y (- 1 x)) z))))) |
(* -1 (* z (+ (* -1 x) (* -1 (/ (* y (- 1 x)) z))))) |
(* -1 (* z (+ (* -1 x) (* -1 (/ (* y (- 1 x)) z))))) |
(* x z) |
(* -1 (* z (+ (* -1 x) (* -1 (/ (* y (- 1 x)) z))))) |
(* -1 (* z (+ (* -1 x) (* -1 (/ (* y (- 1 x)) z))))) |
(* -1 (* z (+ (* -1 x) (* -1 (/ (* y (- 1 x)) z))))) |
(* x z) |
(* -1 (* z (+ (* -1 x) (/ (* x y) z)))) |
(* -1 (* z (+ (* -1 x) (/ (* x y) z)))) |
(* -1 (* z (+ (* -1 x) (/ (* x y) z)))) |
(* x z) |
(* -1 (* z (+ (* -1 x) (* -1 (/ (* y (- 1 x)) z))))) |
(* -1 (* z (+ (* -1 x) (* -1 (/ (* y (- 1 x)) z))))) |
(* -1 (* z (+ (* -1 x) (* -1 (/ (* y (- 1 x)) z))))) |
(* x z) |
(+ (* x z) (* y (- 1 x))) |
(+ (* x z) (* y (- 1 x))) |
(+ (* x z) (* y (- 1 x))) |
(* x z) |
(+ (* x z) (* y (+ 1 (* -1 x)))) |
(+ (* x z) (* y (+ 1 (* -1 x)))) |
(+ (* x z) (* y (+ 1 (* -1 x)))) |
z |
(+ z (* -1 y)) |
(+ z (* -1 y)) |
(+ z (* -1 y)) |
(* x z) |
(+ (* x z) (* y (- 1 x))) |
(+ (* x z) (* y (- 1 x))) |
(+ (* x z) (* y (- 1 x))) |
(* x z) |
(+ (* x z) (* y (- 1 x))) |
(+ (* x z) (* y (- 1 x))) |
(+ (* x z) (* y (- 1 x))) |
(* y (- 1 x)) |
(* y (- 1 x)) |
(* y (- 1 x)) |
(* y (- 1 x)) |
(* x z) |
(+ (* x z) (* y (- 1 x))) |
(+ (* x z) (* y (- 1 x))) |
(+ (* x z) (* y (- 1 x))) |
(* x z) |
(+ (* -1 (* x y)) (* x z)) |
(+ (* -1 (* x y)) (* x z)) |
(+ (* -1 (* x y)) (* x z)) |
(* x z) |
(+ (* x z) (* y (- 1 x))) |
(+ (* x z) (* y (- 1 x))) |
(+ (* x z) (* y (- 1 x))) |
(* y (- 1 x)) |
(* y (- (+ 1 (/ (* x z) y)) x)) |
(* y (- (+ 1 (/ (* x z) y)) x)) |
(* y (- (+ 1 (/ (* x z) y)) x)) |
(* y (+ 1 (* -1 x))) |
(* y (+ 1 (+ (* -1 x) (/ (* x z) y)))) |
(* y (+ 1 (+ (* -1 x) (/ (* x z) y)))) |
(* y (+ 1 (+ (* -1 x) (/ (* x z) y)))) |
(* -1 y) |
(* y (- (/ z y) 1)) |
(* y (- (/ z y) 1)) |
(* y (- (/ z y) 1)) |
(* y (- 1 x)) |
(* y (- (+ 1 (/ (* x z) y)) x)) |
(* y (- (+ 1 (/ (* x z) y)) x)) |
(* y (- (+ 1 (/ (* x z) y)) x)) |
(* y (- 1 x)) |
(* y (- (+ 1 (/ (* x z) y)) x)) |
(* y (- (+ 1 (/ (* x z) y)) x)) |
(* y (- (+ 1 (/ (* x z) y)) x)) |
(* y (- 1 x)) |
(* y (- 1 x)) |
(* y (- 1 x)) |
(* y (- 1 x)) |
(* y (- 1 x)) |
(* y (- (+ 1 (/ (* x z) y)) x)) |
(* y (- (+ 1 (/ (* x z) y)) x)) |
(* y (- (+ 1 (/ (* x z) y)) x)) |
(* -1 (* x y)) |
(* y (+ (* -1 x) (/ (* x z) y))) |
(* y (+ (* -1 x) (/ (* x z) y))) |
(* y (+ (* -1 x) (/ (* x z) y))) |
(* y (- 1 x)) |
(* y (- (+ 1 (/ (* x z) y)) x)) |
(* y (- (+ 1 (/ (* x z) y)) x)) |
(* y (- (+ 1 (/ (* x z) y)) x)) |
(* y (- 1 x)) |
(* -1 (* y (+ (* -1 (- 1 x)) (* -1 (/ (* x z) y))))) |
(* -1 (* y (+ (* -1 (- 1 x)) (* -1 (/ (* x z) y))))) |
(* -1 (* y (+ (* -1 (- 1 x)) (* -1 (/ (* x z) y))))) |
(* -1 (* y (- x 1))) |
(* -1 (* y (- (+ x (* -1 (/ (* x z) y))) 1))) |
(* -1 (* y (- (+ x (* -1 (/ (* x z) y))) 1))) |
(* -1 (* y (- (+ x (* -1 (/ (* x z) y))) 1))) |
(* -1 y) |
(* -1 (* y (+ 1 (* -1 (/ z y))))) |
(* -1 (* y (+ 1 (* -1 (/ z y))))) |
(* -1 (* y (+ 1 (* -1 (/ z y))))) |
(* y (- 1 x)) |
(* -1 (* y (+ (* -1 (- 1 x)) (* -1 (/ (* x z) y))))) |
(* -1 (* y (+ (* -1 (- 1 x)) (* -1 (/ (* x z) y))))) |
(* -1 (* y (+ (* -1 (- 1 x)) (* -1 (/ (* x z) y))))) |
(* y (- 1 x)) |
(* -1 (* y (+ (* -1 (- 1 x)) (* -1 (/ (* x z) y))))) |
(* -1 (* y (+ (* -1 (- 1 x)) (* -1 (/ (* x z) y))))) |
(* -1 (* y (+ (* -1 (- 1 x)) (* -1 (/ (* x z) y))))) |
(* y (- 1 x)) |
(* y (- 1 x)) |
(* y (- 1 x)) |
(* y (- 1 x)) |
(* y (- 1 x)) |
(* -1 (* y (+ (* -1 (- 1 x)) (* -1 (/ (* x z) y))))) |
(* -1 (* y (+ (* -1 (- 1 x)) (* -1 (/ (* x z) y))))) |
(* -1 (* y (+ (* -1 (- 1 x)) (* -1 (/ (* x z) y))))) |
(* -1 (* x y)) |
(* -1 (* y (+ x (* -1 (/ (* x z) y))))) |
(* -1 (* y (+ x (* -1 (/ (* x z) y))))) |
(* -1 (* y (+ x (* -1 (/ (* x z) y))))) |
(* y (- 1 x)) |
(* -1 (* y (+ (* -1 (- 1 x)) (* -1 (/ (* x z) y))))) |
(* -1 (* y (+ (* -1 (- 1 x)) (* -1 (/ (* x z) y))))) |
(* -1 (* y (+ (* -1 (- 1 x)) (* -1 (/ (* x z) y))))) |
y |
(+ y (* x (+ z (* -1 y)))) |
(+ y (* x (+ z (* -1 y)))) |
(+ y (* x (+ z (* -1 y)))) |
y |
(+ y (* x (- z y))) |
(+ y (* x (- z y))) |
(+ y (* x (- z y))) |
y |
(+ y (* x (+ z (* -1 y)))) |
(+ y (* x (+ z (* -1 y)))) |
(+ y (* x (+ z (* -1 y)))) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
y |
(+ y (* x (+ z (* -1 y)))) |
(+ y (* x (+ z (* -1 y)))) |
(+ y (* x (+ z (* -1 y)))) |
y |
(+ y (* -1 (* x y))) |
(+ y (* -1 (* x y))) |
(+ y (* -1 (* x y))) |
1 |
(+ 1 (* -1 x)) |
(+ 1 (* -1 x)) |
(+ 1 (* -1 x)) |
y |
(+ y (* x (+ z (* -1 y)))) |
(+ y (* x (+ z (* -1 y)))) |
(+ y (* x (+ z (* -1 y)))) |
(* x (- z y)) |
(* x (- z y)) |
(* x (- z y)) |
(* x (- z y)) |
y |
(+ y (* x (+ z (* -1 y)))) |
(+ y (* x (+ z (* -1 y)))) |
(+ y (* x (+ z (* -1 y)))) |
(* x (+ z (* -1 y))) |
(* x (+ z (+ (* -1 y) (/ y x)))) |
(* x (+ z (+ (* -1 y) (/ y x)))) |
(* x (+ z (+ (* -1 y) (/ y x)))) |
(* x (- z y)) |
(* x (- (+ z (/ y x)) y)) |
(* x (- (+ z (/ y x)) y)) |
(* x (- (+ z (/ y x)) y)) |
(* x (+ z (* -1 y))) |
(* x (+ z (+ (* -1 y) (/ y x)))) |
(* x (+ z (+ (* -1 y) (/ y x)))) |
(* x (+ z (+ (* -1 y) (/ y x)))) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x (+ z (* -1 y))) |
(* x (+ z (+ (* -1 y) (/ y x)))) |
(* x (+ z (+ (* -1 y) (/ y x)))) |
(* x (+ z (+ (* -1 y) (/ y x)))) |
(* -1 (* x y)) |
(* x (+ (* -1 y) (/ y x))) |
(* x (+ (* -1 y) (/ y x))) |
(* x (+ (* -1 y) (/ y x))) |
(* -1 x) |
(* x (- (/ 1 x) 1)) |
(* x (- (/ 1 x) 1)) |
(* x (- (/ 1 x) 1)) |
(* x (+ z (* -1 y))) |
(* x (+ z (+ (* -1 y) (/ y x)))) |
(* x (+ z (+ (* -1 y) (/ y x)))) |
(* x (+ z (+ (* -1 y) (/ y x)))) |
(* x (- z y)) |
(* x (- z y)) |
(* x (- z y)) |
(* x (- z y)) |
(* x (+ z (* -1 y))) |
(* x (+ z (+ (* -1 y) (/ y x)))) |
(* x (+ z (+ (* -1 y) (/ y x)))) |
(* x (+ z (+ (* -1 y) (/ y x)))) |
(* -1 (* x (+ y (* -1 z)))) |
(* -1 (* x (+ y (+ (* -1 z) (* -1 (/ y x)))))) |
(* -1 (* x (+ y (+ (* -1 z) (* -1 (/ y x)))))) |
(* -1 (* x (+ y (+ (* -1 z) (* -1 (/ y x)))))) |
(* x (- z y)) |
(* -1 (* x (+ (* -1 (- z y)) (* -1 (/ y x))))) |
(* -1 (* x (+ (* -1 (- z y)) (* -1 (/ y x))))) |
(* -1 (* x (+ (* -1 (- z y)) (* -1 (/ y x))))) |
(* -1 (* x (+ y (* -1 z)))) |
(* -1 (* x (+ y (+ (* -1 z) (* -1 (/ y x)))))) |
(* -1 (* x (+ y (+ (* -1 z) (* -1 (/ y x)))))) |
(* -1 (* x (+ y (+ (* -1 z) (* -1 (/ y x)))))) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* -1 (* x (+ y (* -1 z)))) |
(* -1 (* x (+ y (+ (* -1 z) (* -1 (/ y x)))))) |
(* -1 (* x (+ y (+ (* -1 z) (* -1 (/ y x)))))) |
(* -1 (* x (+ y (+ (* -1 z) (* -1 (/ y x)))))) |
(* -1 (* x y)) |
(* -1 (* x (+ y (* -1 (/ y x))))) |
(* -1 (* x (+ y (* -1 (/ y x))))) |
(* -1 (* x (+ y (* -1 (/ y x))))) |
(* -1 x) |
(* -1 (* x (- 1 (/ 1 x)))) |
(* -1 (* x (- 1 (/ 1 x)))) |
(* -1 (* x (- 1 (/ 1 x)))) |
(* -1 (* x (+ y (* -1 z)))) |
(* -1 (* x (+ y (+ (* -1 z) (* -1 (/ y x)))))) |
(* -1 (* x (+ y (+ (* -1 z) (* -1 (/ y x)))))) |
(* -1 (* x (+ y (+ (* -1 z) (* -1 (/ y x)))))) |
(* x (- z y)) |
(* x (- z y)) |
(* x (- z y)) |
(* x (- z y)) |
(* -1 (* x (+ y (* -1 z)))) |
(* -1 (* x (+ y (+ (* -1 z) (* -1 (/ y x)))))) |
(* -1 (* x (+ y (+ (* -1 z) (* -1 (/ y x)))))) |
(* -1 (* x (+ y (+ (* -1 z) (* -1 (/ y x)))))) |
| Outputs |
|---|
(* y (- 1 x)) |
(*.f64 (-.f64 #s(literal 1 binary64) x) y) |
(+ (* x z) (* y (- 1 x))) |
(fma.f64 (-.f64 z y) x y) |
(+ (* x z) (* y (- 1 x))) |
(fma.f64 (-.f64 z y) x y) |
(+ (* x z) (* y (- 1 x))) |
(fma.f64 (-.f64 z y) x y) |
(+ y (* -1 (* x y))) |
(*.f64 (-.f64 #s(literal 1 binary64) x) y) |
(+ y (+ (* -1 (* x y)) (* x z))) |
(fma.f64 (-.f64 z y) x y) |
(+ y (+ (* -1 (* x y)) (* x z))) |
(fma.f64 (-.f64 z y) x y) |
(+ y (+ (* -1 (* x y)) (* x z))) |
(fma.f64 (-.f64 z y) x y) |
(* -1 y) |
(neg.f64 y) |
(- z y) |
(-.f64 z y) |
(- z y) |
(-.f64 z y) |
(- z y) |
(-.f64 z y) |
(* y (- 1 x)) |
(*.f64 (-.f64 #s(literal 1 binary64) x) y) |
(+ (* x z) (* y (- 1 x))) |
(fma.f64 (-.f64 z y) x y) |
(+ (* x z) (* y (- 1 x))) |
(fma.f64 (-.f64 z y) x y) |
(+ (* x z) (* y (- 1 x))) |
(fma.f64 (-.f64 z y) x y) |
(* x z) |
(*.f64 z x) |
(* x z) |
(*.f64 z x) |
(* x z) |
(*.f64 z x) |
(* x z) |
(*.f64 z x) |
(* y (- 1 x)) |
(*.f64 (-.f64 #s(literal 1 binary64) x) y) |
(+ (* x z) (* y (- 1 x))) |
(fma.f64 (-.f64 z y) x y) |
(+ (* x z) (* y (- 1 x))) |
(fma.f64 (-.f64 z y) x y) |
(+ (* x z) (* y (- 1 x))) |
(fma.f64 (-.f64 z y) x y) |
(* y (- 1 x)) |
(*.f64 (-.f64 #s(literal 1 binary64) x) y) |
(+ (* x z) (* y (- 1 x))) |
(fma.f64 (-.f64 z y) x y) |
(+ (* x z) (* y (- 1 x))) |
(fma.f64 (-.f64 z y) x y) |
(+ (* x z) (* y (- 1 x))) |
(fma.f64 (-.f64 z y) x y) |
(* -1 (* x y)) |
(*.f64 (neg.f64 x) y) |
(+ (* -1 (* x y)) (* x z)) |
(*.f64 (-.f64 z y) x) |
(+ (* -1 (* x y)) (* x z)) |
(*.f64 (-.f64 z y) x) |
(+ (* -1 (* x y)) (* x z)) |
(*.f64 (-.f64 z y) x) |
(* y (- 1 x)) |
(*.f64 (-.f64 #s(literal 1 binary64) x) y) |
(+ (* x z) (* y (- 1 x))) |
(fma.f64 (-.f64 z y) x y) |
(+ (* x z) (* y (- 1 x))) |
(fma.f64 (-.f64 z y) x y) |
(+ (* x z) (* y (- 1 x))) |
(fma.f64 (-.f64 z y) x y) |
(* x z) |
(*.f64 z x) |
(* z (+ x (/ (* y (- 1 x)) z))) |
(fma.f64 (-.f64 z y) x y) |
(* z (+ x (/ (* y (- 1 x)) z))) |
(fma.f64 (-.f64 z y) x y) |
(* z (+ x (/ (* y (- 1 x)) z))) |
(fma.f64 (-.f64 z y) x y) |
(* x z) |
(*.f64 z x) |
(* z (+ x (+ (* -1 (/ (* x y) z)) (/ y z)))) |
(fma.f64 (-.f64 z y) x y) |
(* z (+ x (+ (* -1 (/ (* x y) z)) (/ y z)))) |
(fma.f64 (-.f64 z y) x y) |
(* z (+ x (+ (* -1 (/ (* x y) z)) (/ y z)))) |
(fma.f64 (-.f64 z y) x y) |
z |
(* z (+ 1 (* -1 (/ y z)))) |
(-.f64 z y) |
(* z (+ 1 (* -1 (/ y z)))) |
(-.f64 z y) |
(* z (+ 1 (* -1 (/ y z)))) |
(-.f64 z y) |
(* x z) |
(*.f64 z x) |
(* z (+ x (/ (* y (- 1 x)) z))) |
(fma.f64 (-.f64 z y) x y) |
(* z (+ x (/ (* y (- 1 x)) z))) |
(fma.f64 (-.f64 z y) x y) |
(* z (+ x (/ (* y (- 1 x)) z))) |
(fma.f64 (-.f64 z y) x y) |
(* x z) |
(*.f64 z x) |
(* x z) |
(*.f64 z x) |
(* x z) |
(*.f64 z x) |
(* x z) |
(*.f64 z x) |
(* x z) |
(*.f64 z x) |
(* z (+ x (/ (* y (- 1 x)) z))) |
(fma.f64 (-.f64 z y) x y) |
(* z (+ x (/ (* y (- 1 x)) z))) |
(fma.f64 (-.f64 z y) x y) |
(* z (+ x (/ (* y (- 1 x)) z))) |
(fma.f64 (-.f64 z y) x y) |
(* x z) |
(*.f64 z x) |
(* z (+ x (/ (* y (- 1 x)) z))) |
(fma.f64 (-.f64 z y) x y) |
(* z (+ x (/ (* y (- 1 x)) z))) |
(fma.f64 (-.f64 z y) x y) |
(* z (+ x (/ (* y (- 1 x)) z))) |
(fma.f64 (-.f64 z y) x y) |
(* x z) |
(*.f64 z x) |
(* z (+ x (* -1 (/ (* x y) z)))) |
(*.f64 (-.f64 z y) x) |
(* z (+ x (* -1 (/ (* x y) z)))) |
(*.f64 (-.f64 z y) x) |
(* z (+ x (* -1 (/ (* x y) z)))) |
(*.f64 (-.f64 z y) x) |
(* x z) |
(*.f64 z x) |
(* z (+ x (/ (* y (- 1 x)) z))) |
(fma.f64 (-.f64 z y) x y) |
(* z (+ x (/ (* y (- 1 x)) z))) |
(fma.f64 (-.f64 z y) x y) |
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(* -1 (* x (+ y (+ (* -1 z) (* -1 (/ y x)))))) |
(fma.f64 (-.f64 z y) x y) |
(* x (- z y)) |
(*.f64 (-.f64 z y) x) |
(* x (- z y)) |
(*.f64 (-.f64 z y) x) |
(* x (- z y)) |
(*.f64 (-.f64 z y) x) |
(* x (- z y)) |
(*.f64 (-.f64 z y) x) |
(* -1 (* x (+ y (* -1 z)))) |
(*.f64 (-.f64 z y) x) |
(* -1 (* x (+ y (+ (* -1 z) (* -1 (/ y x)))))) |
(fma.f64 (-.f64 z y) x y) |
(* -1 (* x (+ y (+ (* -1 z) (* -1 (/ y x)))))) |
(fma.f64 (-.f64 z y) x y) |
(* -1 (* x (+ y (+ (* -1 z) (* -1 (/ y x)))))) |
(fma.f64 (-.f64 z y) x y) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 92 |
| 0 | 26 | 86 |
| 1 | 97 | 86 |
| 2 | 594 | 78 |
| 3 | 7393 | 78 |
| 0 | 8476 | 78 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ (* (- 1 x) y) (* x z)) (fma.f64 (-.f64 z y) x y)) |
(fma.f64 (-.f64 z y) x y) |
(-.f64 z y) |
#s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 z x)) |
(*.f64 z x) |
#s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 (-.f64 #s(literal 1 binary64) x) y)) |
(*.f64 (-.f64 #s(literal 1 binary64) x) y) |
(-.f64 #s(literal 1 binary64) x) |
#s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 (-.f64 z y) x)) |
(*.f64 (-.f64 z y) x) |
(fma.f64 (-.f64 #s(literal 1 binary64) x) y (*.f64 z x)) |
| Outputs |
|---|
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Compiled 20 814 to 1 722 computations (91.7% saved)
7 alts after pruning (3 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 084 | 3 | 1 087 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 085 | 7 | 1 092 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 67.0% | (fma.f64 #s(approx (- 1 x) (neg.f64 x)) y (*.f64 z x)) |
| ✓ | 100.0% | #s(approx (+ (* (- 1 x) y) (* x z)) (fma.f64 (-.f64 z y) x y)) |
| ✓ | 67.8% | #s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 (-.f64 z y) x)) |
| ✓ | 56.2% | #s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 (-.f64 #s(literal 1 binary64) x) y)) |
| ▶ | 24.7% | #s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 #s(approx (- z y) (neg.f64 y)) x)) |
| ▶ | 33.8% | #s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) |
| ✓ | 45.7% | #s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 z x)) |
Compiled 42 to 45 computations (-7.1% saved)
| 1× | egg-herbie |
Found 11 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 z x) | |
| cost-diff | 0 | (neg.f64 x) | |
| cost-diff | 0 | #s(approx (- 1 x) (neg.f64 x)) | |
| cost-diff | 0 | (fma.f64 #s(approx (- 1 x) (neg.f64 x)) y (*.f64 z x)) | |
| cost-diff | 0 | (neg.f64 y) | |
| cost-diff | 0 | #s(approx (- z y) (neg.f64 y)) | |
| cost-diff | 0 | (*.f64 #s(approx (- z y) (neg.f64 y)) x) | |
| cost-diff | 0 | #s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 #s(approx (- z y) (neg.f64 y)) x)) | |
| cost-diff | 0 | #s(approx (- 1 x) #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) | |
| cost-diff | 0 | #s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 20 | 92 |
| 0 | 27 | 92 |
| 1 | 44 | 92 |
| 2 | 59 | 92 |
| 3 | 94 | 88 |
| 4 | 188 | 88 |
| 5 | 259 | 88 |
| 6 | 438 | 88 |
| 7 | 660 | 88 |
| 8 | 755 | 88 |
| 9 | 802 | 88 |
| 10 | 987 | 88 |
| 11 | 1062 | 88 |
| 12 | 1072 | 88 |
| 13 | 1078 | 88 |
| 14 | 1088 | 88 |
| 15 | 1092 | 88 |
| 0 | 1092 | 86 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) |
(*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) |
#s(approx (- 1 x) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
y |
#s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 #s(approx (- z y) (neg.f64 y)) x)) |
(*.f64 #s(approx (- z y) (neg.f64 y)) x) |
#s(approx (- z y) (neg.f64 y)) |
(neg.f64 y) |
y |
x |
(fma.f64 #s(approx (- 1 x) (neg.f64 x)) y (*.f64 z x)) |
#s(approx (- 1 x) (neg.f64 x)) |
(neg.f64 x) |
x |
y |
(*.f64 z x) |
z |
| Outputs |
|---|
#s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) |
#s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 y #s(approx (- 1 x) #s(literal 1 binary64)))) |
(*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) |
(*.f64 y #s(approx (- 1 x) #s(literal 1 binary64))) |
#s(approx (- 1 x) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
y |
#s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 #s(approx (- z y) (neg.f64 y)) x)) |
(*.f64 #s(approx (- z y) (neg.f64 y)) x) |
#s(approx (- z y) (neg.f64 y)) |
(neg.f64 y) |
y |
x |
(fma.f64 #s(approx (- 1 x) (neg.f64 x)) y (*.f64 z x)) |
#s(approx (- 1 x) (neg.f64 x)) |
(neg.f64 x) |
x |
y |
(*.f64 z x) |
z |
Found 11 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (*.f64 z x) | |
| accuracy | 0 | (neg.f64 x) | |
| accuracy | 0.5039007452111204 | (fma.f64 #s(approx (- 1 x) (neg.f64 x)) y (*.f64 z x)) | |
| accuracy | 31.79074574355768 | #s(approx (- 1 x) (neg.f64 x)) | |
| accuracy | 0 | (neg.f64 y) | |
| accuracy | 0.03125 | (*.f64 #s(approx (- z y) (neg.f64 y)) x) | |
| accuracy | 20.61174334610985 | #s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 #s(approx (- z y) (neg.f64 y)) x)) | |
| accuracy | 34.48827163830937 | #s(approx (- z y) (neg.f64 y)) | |
| accuracy | 0.00390625 | (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) | |
| accuracy | 28.01583240356958 | #s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) | |
| accuracy | 31.383496532531748 | #s(approx (- 1 x) #s(literal 1 binary64)) |
| 27.0ms | 256× | 0 | valid |
Compiled 112 to 31 computations (72.3% saved)
ival-mult: 7.0ms (45.8% of total)ival-sub: 3.0ms (19.6% of total)ival-neg: 3.0ms (19.6% of total)ival-add: 2.0ms (13.1% 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 (+ (* (- 1 x) y) (* x z)) (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) (patch #s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) (patch (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) #<representation binary64>) () ()) |
#s(alt #s(approx (- 1 x) #s(literal 1 binary64)) (patch #s(approx (- 1 x) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 #s(approx (- z y) (neg.f64 y)) x)) (patch #s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 #s(approx (- z y) (neg.f64 y)) x)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (- z y) (neg.f64 y)) x) (patch (*.f64 #s(approx (- z y) (neg.f64 y)) x) #<representation binary64>) () ()) |
#s(alt #s(approx (- z y) (neg.f64 y)) (patch #s(approx (- z y) (neg.f64 y)) #<representation binary64>) () ()) |
#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(approx (- 1 x) (neg.f64 x)) y (*.f64 z x)) (patch (fma.f64 #s(approx (- 1 x) (neg.f64 x)) y (*.f64 z x)) #<representation binary64>) () ()) |
#s(alt #s(approx (- 1 x) (neg.f64 x)) (patch #s(approx (- 1 x) (neg.f64 x)) #<representation binary64>) () ()) |
#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ()) |
#s(alt (*.f64 z x) (patch (*.f64 z x) #<representation binary64>) () ()) |
| Outputs |
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#s(alt (* y (- 1 x)) (taylor 0 z) (#s(alt #s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) (patch #s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) #<representation binary64>) () ())) ()) |
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#s(alt (+ 1 (* -1 x)) (taylor 0 x) (#s(alt #s(approx (- 1 x) (neg.f64 x)) (patch #s(approx (- 1 x) (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 x)) (taylor 0 x) (#s(alt #s(approx (- 1 x) (neg.f64 x)) (patch #s(approx (- 1 x) (neg.f64 x)) #<representation binary64>) () ())) ()) |
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#s(alt (* x (+ z (+ (* -1 y) (/ y x)))) (taylor inf x) (#s(alt #s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) (patch #s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) #<representation binary64>) () ())) ()) |
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#s(alt (* x (+ (* -1 y) (/ y x))) (taylor inf x) (#s(alt (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) (patch (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* -1 y) (/ y x))) (taylor inf x) (#s(alt (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) (patch (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) #<representation binary64>) () ())) ()) |
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#s(alt (* x (- (/ 1 x) 1)) (taylor inf x) (#s(alt #s(approx (- 1 x) #s(literal 1 binary64)) (patch #s(approx (- 1 x) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (/ 1 x) 1)) (taylor inf x) (#s(alt #s(approx (- 1 x) #s(literal 1 binary64)) (patch #s(approx (- 1 x) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ z (* -1 y))) (taylor inf x) (#s(alt #s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 #s(approx (- z y) (neg.f64 y)) x)) (patch #s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 #s(approx (- z y) (neg.f64 y)) x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ z (+ (* -1 y) (/ y x)))) (taylor inf x) (#s(alt #s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 #s(approx (- z y) (neg.f64 y)) x)) (patch #s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 #s(approx (- z y) (neg.f64 y)) x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ z (+ (* -1 y) (/ y x)))) (taylor inf x) (#s(alt #s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 #s(approx (- z y) (neg.f64 y)) x)) (patch #s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 #s(approx (- z y) (neg.f64 y)) x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ z (+ (* -1 y) (/ y x)))) (taylor inf x) (#s(alt #s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 #s(approx (- z y) (neg.f64 y)) x)) (patch #s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 #s(approx (- z y) (neg.f64 y)) x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- z y)) (taylor inf x) (#s(alt (*.f64 #s(approx (- z y) (neg.f64 y)) x) (patch (*.f64 #s(approx (- z y) (neg.f64 y)) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (- z y)) (taylor inf x) (#s(alt (*.f64 #s(approx (- z y) (neg.f64 y)) x) (patch (*.f64 #s(approx (- z y) (neg.f64 y)) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (- z y)) (taylor inf x) (#s(alt (*.f64 #s(approx (- z y) (neg.f64 y)) x) (patch (*.f64 #s(approx (- z y) (neg.f64 y)) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (- z y)) (taylor inf x) (#s(alt (*.f64 #s(approx (- z y) (neg.f64 y)) x) (patch (*.f64 #s(approx (- z y) (neg.f64 y)) x) #<representation binary64>) () ())) ()) |
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#s(alt (* x (+ z (+ (* -1 y) (/ y x)))) (taylor inf x) (#s(alt (fma.f64 #s(approx (- 1 x) (neg.f64 x)) y (*.f64 z x)) (patch (fma.f64 #s(approx (- 1 x) (neg.f64 x)) y (*.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ z (+ (* -1 y) (/ y x)))) (taylor inf x) (#s(alt (fma.f64 #s(approx (- 1 x) (neg.f64 x)) y (*.f64 z x)) (patch (fma.f64 #s(approx (- 1 x) (neg.f64 x)) y (*.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor inf x) (#s(alt #s(approx (- 1 x) (neg.f64 x)) (patch #s(approx (- 1 x) (neg.f64 x)) #<representation binary64>) () ())) ()) |
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#s(alt (* x (- (/ 1 x) 1)) (taylor inf x) (#s(alt #s(approx (- 1 x) (neg.f64 x)) (patch #s(approx (- 1 x) (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* x z) (taylor inf x) (#s(alt (*.f64 z x) (patch (*.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (* x z) (taylor inf x) (#s(alt (*.f64 z x) (patch (*.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (* x z) (taylor inf x) (#s(alt (*.f64 z x) (patch (*.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (* x z) (taylor inf x) (#s(alt (*.f64 z x) (patch (*.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ y (* -1 z)))) (taylor -inf x) (#s(alt #s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) (patch #s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ y (+ (* -1 z) (* -1 (/ y x)))))) (taylor -inf x) (#s(alt #s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) (patch #s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (* x (+ y (* -1 (/ y x))))) (taylor -inf x) (#s(alt (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) (patch (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) #<representation binary64>) () ())) ()) |
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#s(alt (* x (- z y)) (taylor -inf x) (#s(alt (*.f64 #s(approx (- z y) (neg.f64 y)) x) (patch (*.f64 #s(approx (- z y) (neg.f64 y)) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (- z y)) (taylor -inf x) (#s(alt (*.f64 #s(approx (- z y) (neg.f64 y)) x) (patch (*.f64 #s(approx (- z y) (neg.f64 y)) x) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (* x (+ y (+ (* -1 z) (* -1 (/ y x)))))) (taylor -inf x) (#s(alt (fma.f64 #s(approx (- 1 x) (neg.f64 x)) y (*.f64 z x)) (patch (fma.f64 #s(approx (- 1 x) (neg.f64 x)) y (*.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt #s(approx (- 1 x) (neg.f64 x)) (patch #s(approx (- 1 x) (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- 1 (/ 1 x)))) (taylor -inf x) (#s(alt #s(approx (- 1 x) (neg.f64 x)) (patch #s(approx (- 1 x) (neg.f64 x)) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* x z) (taylor -inf x) (#s(alt (*.f64 z x) (patch (*.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (* x z) (taylor -inf x) (#s(alt (*.f64 z x) (patch (*.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (* x z) (taylor -inf x) (#s(alt (*.f64 z x) (patch (*.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (* x z) (taylor -inf x) (#s(alt (*.f64 z x) (patch (*.f64 z x) #<representation binary64>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | ((+ (* (- 1 x) y) (* x z)) (* (- 1 x) y) (- 1 x) (+ (* (- 1 x) y) (* x z)) (* (- z y) x) (- z y) (neg y) (+ (* (- 1 x) y) (* z x)) (- 1 x) (neg x) (* z x)) |
| 1.0ms | x | @ | inf | ((+ (* (- 1 x) y) (* x z)) (* (- 1 x) y) (- 1 x) (+ (* (- 1 x) y) (* x z)) (* (- z y) x) (- z y) (neg y) (+ (* (- 1 x) y) (* z x)) (- 1 x) (neg x) (* z x)) |
| 1.0ms | y | @ | inf | ((+ (* (- 1 x) y) (* x z)) (* (- 1 x) y) (- 1 x) (+ (* (- 1 x) y) (* x z)) (* (- z y) x) (- z y) (neg y) (+ (* (- 1 x) y) (* z x)) (- 1 x) (neg x) (* z x)) |
| 1.0ms | y | @ | -inf | ((+ (* (- 1 x) y) (* x z)) (* (- 1 x) y) (- 1 x) (+ (* (- 1 x) y) (* x z)) (* (- z y) x) (- z y) (neg y) (+ (* (- 1 x) y) (* z x)) (- 1 x) (neg x) (* z x)) |
| 1.0ms | z | @ | -inf | ((+ (* (- 1 x) y) (* x z)) (* (- 1 x) y) (- 1 x) (+ (* (- 1 x) y) (* x z)) (* (- z y) x) (- z y) (neg y) (+ (* (- 1 x) y) (* z x)) (- 1 x) (neg x) (* z x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 86 | 1474 |
| 1 | 291 | 1204 |
| 2 | 832 | 1204 |
| 3 | 2165 | 1204 |
| 4 | 4313 | 1204 |
| 5 | 6340 | 1204 |
| 6 | 7373 | 1204 |
| 7 | 7923 | 1204 |
| 0 | 8067 | 1123 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* y (- 1 x)) |
(+ (* x z) (* y (- 1 x))) |
(+ (* x z) (* y (- 1 x))) |
(+ (* x z) (* y (- 1 x))) |
(* y (- 1 x)) |
(+ (* x z) (* y (- 1 x))) |
(+ (* x z) (* y (- 1 x))) |
(+ (* x z) (* y (- 1 x))) |
(* -1 (* x y)) |
(+ (* -1 (* x y)) (* x z)) |
(+ (* -1 (* x y)) (* x z)) |
(+ (* -1 (* x y)) (* x z)) |
(* -1 y) |
(- z y) |
(- z y) |
(- z y) |
(* y (- 1 x)) |
(+ (* x z) (* y (- 1 x))) |
(+ (* x z) (* y (- 1 x))) |
(+ (* x z) (* y (- 1 x))) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* z (+ x (/ (* y (- 1 x)) z))) |
(* z (+ x (/ (* y (- 1 x)) z))) |
(* z (+ x (/ (* y (- 1 x)) z))) |
(* x z) |
(* z (+ x (/ (* y (- 1 x)) z))) |
(* z (+ x (/ (* y (- 1 x)) z))) |
(* z (+ x (/ (* y (- 1 x)) z))) |
(* x z) |
(* z (+ x (* -1 (/ (* x y) z)))) |
(* z (+ x (* -1 (/ (* x y) z)))) |
(* z (+ x (* -1 (/ (* x y) z)))) |
z |
(* z (+ 1 (* -1 (/ y z)))) |
(* z (+ 1 (* -1 (/ y z)))) |
(* z (+ 1 (* -1 (/ y z)))) |
(* x z) |
(* z (+ x (/ (* y (- 1 x)) z))) |
(* z (+ x (/ (* y (- 1 x)) z))) |
(* z (+ x (/ (* y (- 1 x)) z))) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* -1 (* z (+ (* -1 x) (* -1 (/ (* y (- 1 x)) z))))) |
(* -1 (* z (+ (* -1 x) (* -1 (/ (* y (- 1 x)) z))))) |
(* -1 (* z (+ (* -1 x) (* -1 (/ (* y (- 1 x)) z))))) |
(* x z) |
(* -1 (* z (+ (* -1 x) (* -1 (/ (* y (- 1 x)) z))))) |
(* -1 (* z (+ (* -1 x) (* -1 (/ (* y (- 1 x)) z))))) |
(* -1 (* z (+ (* -1 x) (* -1 (/ (* y (- 1 x)) z))))) |
(* x z) |
(* -1 (* z (+ (* -1 x) (/ (* x y) z)))) |
(* -1 (* z (+ (* -1 x) (/ (* x y) z)))) |
(* -1 (* z (+ (* -1 x) (/ (* x y) z)))) |
z |
(* -1 (* z (- (/ y z) 1))) |
(* -1 (* z (- (/ y z) 1))) |
(* -1 (* z (- (/ y z) 1))) |
(* x z) |
(* -1 (* z (+ (* -1 x) (* -1 (/ (* y (- 1 x)) z))))) |
(* -1 (* z (+ (* -1 x) (* -1 (/ (* y (- 1 x)) z))))) |
(* -1 (* z (+ (* -1 x) (* -1 (/ (* y (- 1 x)) z))))) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(+ (* x z) (* y (- 1 x))) |
(+ (* x z) (* y (- 1 x))) |
(+ (* x z) (* y (- 1 x))) |
(* y (- 1 x)) |
(* y (- 1 x)) |
(* y (- 1 x)) |
(* y (- 1 x)) |
(* x z) |
(+ (* x z) (* y (- 1 x))) |
(+ (* x z) (* y (- 1 x))) |
(+ (* x z) (* y (- 1 x))) |
(* x z) |
(+ (* -1 (* x y)) (* x z)) |
(+ (* -1 (* x y)) (* x z)) |
(+ (* -1 (* x y)) (* x z)) |
z |
(+ z (* -1 y)) |
(+ z (* -1 y)) |
(+ z (* -1 y)) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* x z) |
(+ (* x z) (* y (- 1 x))) |
(+ (* x z) (* y (- 1 x))) |
(+ (* x z) (* y (- 1 x))) |
(* y (- 1 x)) |
(* y (- (+ 1 (/ (* x z) y)) x)) |
(* y (- (+ 1 (/ (* x z) y)) x)) |
(* y (- (+ 1 (/ (* x z) y)) x)) |
(* y (- 1 x)) |
(* y (- 1 x)) |
(* y (- 1 x)) |
(* y (- 1 x)) |
(* y (- 1 x)) |
(* y (- (+ 1 (/ (* x z) y)) x)) |
(* y (- (+ 1 (/ (* x z) y)) x)) |
(* y (- (+ 1 (/ (* x z) y)) x)) |
(* -1 (* x y)) |
(* y (+ (* -1 x) (/ (* x z) y))) |
(* y (+ (* -1 x) (/ (* x z) y))) |
(* y (+ (* -1 x) (/ (* x z) y))) |
(* -1 y) |
(* y (- (/ z y) 1)) |
(* y (- (/ z y) 1)) |
(* y (- (/ z y) 1)) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* y (- 1 x)) |
(* y (- (+ 1 (/ (* x z) y)) x)) |
(* y (- (+ 1 (/ (* x z) y)) x)) |
(* y (- (+ 1 (/ (* x z) y)) x)) |
(* y (- 1 x)) |
(* -1 (* y (+ (* -1 (- 1 x)) (* -1 (/ (* x z) y))))) |
(* -1 (* y (+ (* -1 (- 1 x)) (* -1 (/ (* x z) y))))) |
(* -1 (* y (+ (* -1 (- 1 x)) (* -1 (/ (* x z) y))))) |
(* y (- 1 x)) |
(* y (- 1 x)) |
(* y (- 1 x)) |
(* y (- 1 x)) |
(* y (- 1 x)) |
(* -1 (* y (+ (* -1 (- 1 x)) (* -1 (/ (* x z) y))))) |
(* -1 (* y (+ (* -1 (- 1 x)) (* -1 (/ (* x z) y))))) |
(* -1 (* y (+ (* -1 (- 1 x)) (* -1 (/ (* x z) y))))) |
(* -1 (* x y)) |
(* -1 (* y (+ x (* -1 (/ (* x z) y))))) |
(* -1 (* y (+ x (* -1 (/ (* x z) y))))) |
(* -1 (* y (+ x (* -1 (/ (* x z) y))))) |
(* -1 y) |
(* -1 (* y (+ 1 (* -1 (/ z y))))) |
(* -1 (* y (+ 1 (* -1 (/ z y))))) |
(* -1 (* y (+ 1 (* -1 (/ z y))))) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* y (- 1 x)) |
(* -1 (* y (+ (* -1 (- 1 x)) (* -1 (/ (* x z) y))))) |
(* -1 (* y (+ (* -1 (- 1 x)) (* -1 (/ (* x z) y))))) |
(* -1 (* y (+ (* -1 (- 1 x)) (* -1 (/ (* x z) y))))) |
y |
(+ y (* x (+ z (* -1 y)))) |
(+ y (* x (+ z (* -1 y)))) |
(+ y (* x (+ z (* -1 y)))) |
y |
(+ y (* -1 (* x y))) |
(+ y (* -1 (* x y))) |
(+ y (* -1 (* x y))) |
1 |
(+ 1 (* -1 x)) |
(+ 1 (* -1 x)) |
(+ 1 (* -1 x)) |
y |
(+ y (* x (+ z (* -1 y)))) |
(+ y (* x (+ z (* -1 y)))) |
(+ y (* x (+ z (* -1 y)))) |
(* x (- z y)) |
(* x (- z y)) |
(* x (- z y)) |
(* x (- z y)) |
y |
(+ y (* x (+ z (* -1 y)))) |
(+ y (* x (+ z (* -1 y)))) |
(+ y (* x (+ z (* -1 y)))) |
1 |
(+ 1 (* -1 x)) |
(+ 1 (* -1 x)) |
(+ 1 (* -1 x)) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x (+ z (* -1 y))) |
(* x (+ z (+ (* -1 y) (/ y x)))) |
(* x (+ z (+ (* -1 y) (/ y x)))) |
(* x (+ z (+ (* -1 y) (/ y x)))) |
(* -1 (* x y)) |
(* x (+ (* -1 y) (/ y x))) |
(* x (+ (* -1 y) (/ y x))) |
(* x (+ (* -1 y) (/ y x))) |
(* -1 x) |
(* x (- (/ 1 x) 1)) |
(* x (- (/ 1 x) 1)) |
(* x (- (/ 1 x) 1)) |
(* x (+ z (* -1 y))) |
(* x (+ z (+ (* -1 y) (/ y x)))) |
(* x (+ z (+ (* -1 y) (/ y x)))) |
(* x (+ z (+ (* -1 y) (/ y x)))) |
(* x (- z y)) |
(* x (- z y)) |
(* x (- z y)) |
(* x (- z y)) |
(* x (+ z (* -1 y))) |
(* x (+ z (+ (* -1 y) (/ y x)))) |
(* x (+ z (+ (* -1 y) (/ y x)))) |
(* x (+ z (+ (* -1 y) (/ y x)))) |
(* -1 x) |
(* x (- (/ 1 x) 1)) |
(* x (- (/ 1 x) 1)) |
(* x (- (/ 1 x) 1)) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* -1 (* x (+ y (* -1 z)))) |
(* -1 (* x (+ y (+ (* -1 z) (* -1 (/ y x)))))) |
(* -1 (* x (+ y (+ (* -1 z) (* -1 (/ y x)))))) |
(* -1 (* x (+ y (+ (* -1 z) (* -1 (/ y x)))))) |
(* -1 (* x y)) |
(* -1 (* x (+ y (* -1 (/ y x))))) |
(* -1 (* x (+ y (* -1 (/ y x))))) |
(* -1 (* x (+ y (* -1 (/ y x))))) |
(* -1 x) |
(* -1 (* x (- 1 (/ 1 x)))) |
(* -1 (* x (- 1 (/ 1 x)))) |
(* -1 (* x (- 1 (/ 1 x)))) |
(* -1 (* x (+ y (* -1 z)))) |
(* -1 (* x (+ y (+ (* -1 z) (* -1 (/ y x)))))) |
(* -1 (* x (+ y (+ (* -1 z) (* -1 (/ y x)))))) |
(* -1 (* x (+ y (+ (* -1 z) (* -1 (/ y x)))))) |
(* x (- z y)) |
(* x (- z y)) |
(* x (- z y)) |
(* x (- z y)) |
(* -1 (* x (+ y (* -1 z)))) |
(* -1 (* x (+ y (+ (* -1 z) (* -1 (/ y x)))))) |
(* -1 (* x (+ y (+ (* -1 z) (* -1 (/ y x)))))) |
(* -1 (* x (+ y (+ (* -1 z) (* -1 (/ y x)))))) |
(* -1 x) |
(* -1 (* x (- 1 (/ 1 x)))) |
(* -1 (* x (- 1 (/ 1 x)))) |
(* -1 (* x (- 1 (/ 1 x)))) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
| Outputs |
|---|
(* y (- 1 x)) |
(*.f64 (-.f64 #s(literal 1 binary64) x) y) |
(+ (* x z) (* y (- 1 x))) |
(fma.f64 (-.f64 z y) x y) |
(+ (* x z) (* y (- 1 x))) |
(fma.f64 (-.f64 z y) x y) |
(+ (* x z) (* y (- 1 x))) |
(fma.f64 (-.f64 z y) x y) |
(* y (- 1 x)) |
(*.f64 (-.f64 #s(literal 1 binary64) x) y) |
(+ (* x z) (* y (- 1 x))) |
(fma.f64 (-.f64 z y) x y) |
(+ (* x z) (* y (- 1 x))) |
(fma.f64 (-.f64 z y) x y) |
(+ (* x z) (* y (- 1 x))) |
(fma.f64 (-.f64 z y) x y) |
(* -1 (* x y)) |
(*.f64 (neg.f64 x) y) |
(+ (* -1 (* x y)) (* x z)) |
(*.f64 (-.f64 z y) x) |
(+ (* -1 (* x y)) (* x z)) |
(*.f64 (-.f64 z y) x) |
(+ (* -1 (* x y)) (* x z)) |
(*.f64 (-.f64 z y) x) |
(* -1 y) |
(neg.f64 y) |
(- z y) |
(-.f64 z y) |
(- z y) |
(-.f64 z y) |
(- z y) |
(-.f64 z y) |
(* y (- 1 x)) |
(*.f64 (-.f64 #s(literal 1 binary64) x) y) |
(+ (* x z) (* y (- 1 x))) |
(fma.f64 (-.f64 z y) x y) |
(+ (* x z) (* y (- 1 x))) |
(fma.f64 (-.f64 z y) x y) |
(+ (* x z) (* y (- 1 x))) |
(fma.f64 (-.f64 z y) x y) |
(* x z) |
(*.f64 z x) |
(* x z) |
(*.f64 z x) |
(* x z) |
(*.f64 z x) |
(* x z) |
(*.f64 z x) |
(* x z) |
(*.f64 z x) |
(* z (+ x (/ (* y (- 1 x)) z))) |
(fma.f64 (-.f64 z y) x y) |
(* z (+ x (/ (* y (- 1 x)) z))) |
(fma.f64 (-.f64 z y) x y) |
(* z (+ x (/ (* y (- 1 x)) z))) |
(fma.f64 (-.f64 z y) x y) |
(* x z) |
(*.f64 z x) |
(* z (+ x (/ (* y (- 1 x)) z))) |
(fma.f64 (-.f64 z y) x y) |
(* z (+ x (/ (* y (- 1 x)) z))) |
(fma.f64 (-.f64 z y) x y) |
(* z (+ x (/ (* y (- 1 x)) z))) |
(fma.f64 (-.f64 z y) x y) |
(* x z) |
(*.f64 z x) |
(* z (+ x (* -1 (/ (* x y) z)))) |
(*.f64 (-.f64 z y) x) |
(* z (+ x (* -1 (/ (* x y) z)))) |
(*.f64 (-.f64 z y) x) |
(* z (+ x (* -1 (/ (* x y) z)))) |
(*.f64 (-.f64 z y) x) |
z |
(* z (+ 1 (* -1 (/ y z)))) |
(-.f64 z y) |
(* z (+ 1 (* -1 (/ y z)))) |
(-.f64 z y) |
(* z (+ 1 (* -1 (/ y z)))) |
(-.f64 z y) |
(* x z) |
(*.f64 z x) |
(* z (+ x (/ (* y (- 1 x)) z))) |
(fma.f64 (-.f64 z y) x y) |
(* z (+ x (/ (* y (- 1 x)) z))) |
(fma.f64 (-.f64 z y) x y) |
(* z (+ x (/ (* y (- 1 x)) z))) |
(fma.f64 (-.f64 z y) x y) |
(* x z) |
(*.f64 z x) |
(* x z) |
(*.f64 z x) |
(* x z) |
(*.f64 z x) |
(* x z) |
(*.f64 z x) |
(* x z) |
(*.f64 z x) |
(* -1 (* z (+ (* -1 x) (* -1 (/ (* y (- 1 x)) z))))) |
(fma.f64 (-.f64 z y) x y) |
(* -1 (* z (+ (* -1 x) (* -1 (/ (* y (- 1 x)) z))))) |
(fma.f64 (-.f64 z y) x y) |
(* -1 (* z (+ (* -1 x) (* -1 (/ (* y (- 1 x)) z))))) |
(fma.f64 (-.f64 z y) x y) |
(* x z) |
(*.f64 z x) |
(* -1 (* z (+ (* -1 x) (* -1 (/ (* y (- 1 x)) z))))) |
(fma.f64 (-.f64 z y) x y) |
(* -1 (* z (+ (* -1 x) (* -1 (/ (* y (- 1 x)) z))))) |
(fma.f64 (-.f64 z y) x y) |
(* -1 (* z (+ (* -1 x) (* -1 (/ (* y (- 1 x)) z))))) |
(fma.f64 (-.f64 z y) x y) |
(* x z) |
(*.f64 z x) |
(* -1 (* z (+ (* -1 x) (/ (* x y) z)))) |
(*.f64 (-.f64 z y) x) |
(* -1 (* z (+ (* -1 x) (/ (* x y) z)))) |
(*.f64 (-.f64 z y) x) |
(* -1 (* z (+ (* -1 x) (/ (* x y) z)))) |
(*.f64 (-.f64 z y) x) |
z |
(* -1 (* z (- (/ y z) 1))) |
(-.f64 z y) |
(* -1 (* z (- (/ y z) 1))) |
(-.f64 z y) |
(* -1 (* z (- (/ y z) 1))) |
(-.f64 z y) |
(* x z) |
(*.f64 z x) |
(* -1 (* z (+ (* -1 x) (* -1 (/ (* y (- 1 x)) z))))) |
(fma.f64 (-.f64 z y) x y) |
(* -1 (* z (+ (* -1 x) (* -1 (/ (* y (- 1 x)) z))))) |
(fma.f64 (-.f64 z y) x y) |
(* -1 (* z (+ (* -1 x) (* -1 (/ (* y (- 1 x)) z))))) |
(fma.f64 (-.f64 z y) x y) |
(* x z) |
(*.f64 z x) |
(* x z) |
(*.f64 z x) |
(* x z) |
(*.f64 z x) |
(* x z) |
(*.f64 z x) |
(* x z) |
(*.f64 z x) |
(+ (* x z) (* y (- 1 x))) |
(fma.f64 (-.f64 z y) x y) |
(+ (* x z) (* y (- 1 x))) |
(fma.f64 (-.f64 z y) x y) |
(+ (* x z) (* y (- 1 x))) |
(fma.f64 (-.f64 z y) x y) |
(* y (- 1 x)) |
(*.f64 (-.f64 #s(literal 1 binary64) x) y) |
(* y (- 1 x)) |
(*.f64 (-.f64 #s(literal 1 binary64) x) y) |
(* y (- 1 x)) |
(*.f64 (-.f64 #s(literal 1 binary64) x) y) |
(* y (- 1 x)) |
(*.f64 (-.f64 #s(literal 1 binary64) x) y) |
(* x z) |
(*.f64 z x) |
(+ (* x z) (* y (- 1 x))) |
(fma.f64 (-.f64 z y) x y) |
(+ (* x z) (* y (- 1 x))) |
(fma.f64 (-.f64 z y) x y) |
(+ (* x z) (* y (- 1 x))) |
(fma.f64 (-.f64 z y) x y) |
(* x z) |
(*.f64 z x) |
(+ (* -1 (* x y)) (* x z)) |
(*.f64 (-.f64 z y) x) |
(+ (* -1 (* x y)) (* x z)) |
(*.f64 (-.f64 z y) x) |
(+ (* -1 (* x y)) (* x z)) |
(*.f64 (-.f64 z y) x) |
z |
(+ z (* -1 y)) |
(-.f64 z y) |
(+ z (* -1 y)) |
(-.f64 z y) |
(+ z (* -1 y)) |
(-.f64 z y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* x z) |
(*.f64 z x) |
(+ (* x z) (* y (- 1 x))) |
(fma.f64 (-.f64 z y) x y) |
(+ (* x z) (* y (- 1 x))) |
(fma.f64 (-.f64 z y) x y) |
(+ (* x z) (* y (- 1 x))) |
(fma.f64 (-.f64 z y) x y) |
(* y (- 1 x)) |
(*.f64 (-.f64 #s(literal 1 binary64) x) y) |
(* y (- (+ 1 (/ (* x z) y)) x)) |
(fma.f64 (-.f64 z y) x y) |
(* y (- (+ 1 (/ (* x z) y)) x)) |
(fma.f64 (-.f64 z y) x y) |
(* y (- (+ 1 (/ (* x z) y)) x)) |
(fma.f64 (-.f64 z y) x y) |
(* y (- 1 x)) |
(*.f64 (-.f64 #s(literal 1 binary64) x) y) |
(* y (- 1 x)) |
(*.f64 (-.f64 #s(literal 1 binary64) x) y) |
(* y (- 1 x)) |
(*.f64 (-.f64 #s(literal 1 binary64) x) y) |
(* y (- 1 x)) |
(*.f64 (-.f64 #s(literal 1 binary64) x) y) |
(* y (- 1 x)) |
(*.f64 (-.f64 #s(literal 1 binary64) x) y) |
(* y (- (+ 1 (/ (* x z) y)) x)) |
(fma.f64 (-.f64 z y) x y) |
(* y (- (+ 1 (/ (* x z) y)) x)) |
(fma.f64 (-.f64 z y) x y) |
(* y (- (+ 1 (/ (* x z) y)) x)) |
(fma.f64 (-.f64 z y) x y) |
(* -1 (* x y)) |
(*.f64 (neg.f64 x) y) |
(* y (+ (* -1 x) (/ (* x z) y))) |
(*.f64 (-.f64 z y) x) |
(* y (+ (* -1 x) (/ (* x z) y))) |
(*.f64 (-.f64 z y) x) |
(* y (+ (* -1 x) (/ (* x z) y))) |
(*.f64 (-.f64 z y) x) |
(* -1 y) |
(neg.f64 y) |
(* y (- (/ z y) 1)) |
(-.f64 z y) |
(* y (- (/ z y) 1)) |
(-.f64 z y) |
(* y (- (/ z y) 1)) |
(-.f64 z y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* y (- 1 x)) |
(*.f64 (-.f64 #s(literal 1 binary64) x) y) |
(* y (- (+ 1 (/ (* x z) y)) x)) |
(fma.f64 (-.f64 z y) x y) |
(* y (- (+ 1 (/ (* x z) y)) x)) |
(fma.f64 (-.f64 z y) x y) |
(* y (- (+ 1 (/ (* x z) y)) x)) |
(fma.f64 (-.f64 z y) x y) |
(* y (- 1 x)) |
(*.f64 (-.f64 #s(literal 1 binary64) x) y) |
(* -1 (* y (+ (* -1 (- 1 x)) (* -1 (/ (* x z) y))))) |
(fma.f64 (-.f64 z y) x y) |
(* -1 (* y (+ (* -1 (- 1 x)) (* -1 (/ (* x z) y))))) |
(fma.f64 (-.f64 z y) x y) |
(* -1 (* y (+ (* -1 (- 1 x)) (* -1 (/ (* x z) y))))) |
(fma.f64 (-.f64 z y) x y) |
(* y (- 1 x)) |
(*.f64 (-.f64 #s(literal 1 binary64) x) y) |
(* y (- 1 x)) |
(*.f64 (-.f64 #s(literal 1 binary64) x) y) |
(* y (- 1 x)) |
(*.f64 (-.f64 #s(literal 1 binary64) x) y) |
(* y (- 1 x)) |
(*.f64 (-.f64 #s(literal 1 binary64) x) y) |
(* y (- 1 x)) |
(*.f64 (-.f64 #s(literal 1 binary64) x) y) |
(* -1 (* y (+ (* -1 (- 1 x)) (* -1 (/ (* x z) y))))) |
(fma.f64 (-.f64 z y) x y) |
(* -1 (* y (+ (* -1 (- 1 x)) (* -1 (/ (* x z) y))))) |
(fma.f64 (-.f64 z y) x y) |
(* -1 (* y (+ (* -1 (- 1 x)) (* -1 (/ (* x z) y))))) |
(fma.f64 (-.f64 z y) x y) |
(* -1 (* x y)) |
(*.f64 (neg.f64 x) y) |
(* -1 (* y (+ x (* -1 (/ (* x z) y))))) |
(*.f64 (-.f64 z y) x) |
(* -1 (* y (+ x (* -1 (/ (* x z) y))))) |
(*.f64 (-.f64 z y) x) |
(* -1 (* y (+ x (* -1 (/ (* x z) y))))) |
(*.f64 (-.f64 z y) x) |
(* -1 y) |
(neg.f64 y) |
(* -1 (* y (+ 1 (* -1 (/ z y))))) |
(-.f64 z y) |
(* -1 (* y (+ 1 (* -1 (/ z y))))) |
(-.f64 z y) |
(* -1 (* y (+ 1 (* -1 (/ z y))))) |
(-.f64 z y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* y (- 1 x)) |
(*.f64 (-.f64 #s(literal 1 binary64) x) y) |
(* -1 (* y (+ (* -1 (- 1 x)) (* -1 (/ (* x z) y))))) |
(fma.f64 (-.f64 z y) x y) |
(* -1 (* y (+ (* -1 (- 1 x)) (* -1 (/ (* x z) y))))) |
(fma.f64 (-.f64 z y) x y) |
(* -1 (* y (+ (* -1 (- 1 x)) (* -1 (/ (* x z) y))))) |
(fma.f64 (-.f64 z y) x y) |
y |
(+ y (* x (+ z (* -1 y)))) |
(fma.f64 (-.f64 z y) x y) |
(+ y (* x (+ z (* -1 y)))) |
(fma.f64 (-.f64 z y) x y) |
(+ y (* x (+ z (* -1 y)))) |
(fma.f64 (-.f64 z y) x y) |
y |
(+ y (* -1 (* x y))) |
(*.f64 (-.f64 #s(literal 1 binary64) x) y) |
(+ y (* -1 (* x y))) |
(*.f64 (-.f64 #s(literal 1 binary64) x) y) |
(+ y (* -1 (* x y))) |
(*.f64 (-.f64 #s(literal 1 binary64) x) y) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
y |
(+ y (* x (+ z (* -1 y)))) |
(fma.f64 (-.f64 z y) x y) |
(+ y (* x (+ z (* -1 y)))) |
(fma.f64 (-.f64 z y) x y) |
(+ y (* x (+ z (* -1 y)))) |
(fma.f64 (-.f64 z y) x y) |
(* x (- z y)) |
(*.f64 (-.f64 z y) x) |
(* x (- z y)) |
(*.f64 (-.f64 z y) x) |
(* x (- z y)) |
(*.f64 (-.f64 z y) x) |
(* x (- z y)) |
(*.f64 (-.f64 z y) x) |
y |
(+ y (* x (+ z (* -1 y)))) |
(fma.f64 (-.f64 z y) x y) |
(+ y (* x (+ z (* -1 y)))) |
(fma.f64 (-.f64 z y) x y) |
(+ y (* x (+ z (* -1 y)))) |
(fma.f64 (-.f64 z y) x y) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* x z) |
(*.f64 z x) |
(* x z) |
(*.f64 z x) |
(* x z) |
(*.f64 z x) |
(* x z) |
(*.f64 z x) |
(* x (+ z (* -1 y))) |
(*.f64 (-.f64 z y) x) |
(* x (+ z (+ (* -1 y) (/ y x)))) |
(fma.f64 (-.f64 z y) x y) |
(* x (+ z (+ (* -1 y) (/ y x)))) |
(fma.f64 (-.f64 z y) x y) |
(* x (+ z (+ (* -1 y) (/ y x)))) |
(fma.f64 (-.f64 z y) x y) |
(* -1 (* x y)) |
(*.f64 (neg.f64 x) y) |
(* x (+ (* -1 y) (/ y x))) |
(*.f64 (-.f64 #s(literal 1 binary64) x) y) |
(* x (+ (* -1 y) (/ y x))) |
(*.f64 (-.f64 #s(literal 1 binary64) x) y) |
(* x (+ (* -1 y) (/ y x))) |
(*.f64 (-.f64 #s(literal 1 binary64) x) y) |
(* -1 x) |
(neg.f64 x) |
(* x (- (/ 1 x) 1)) |
(-.f64 #s(literal 1 binary64) x) |
(* x (- (/ 1 x) 1)) |
(-.f64 #s(literal 1 binary64) x) |
(* x (- (/ 1 x) 1)) |
(-.f64 #s(literal 1 binary64) x) |
(* x (+ z (* -1 y))) |
(*.f64 (-.f64 z y) x) |
(* x (+ z (+ (* -1 y) (/ y x)))) |
(fma.f64 (-.f64 z y) x y) |
(* x (+ z (+ (* -1 y) (/ y x)))) |
(fma.f64 (-.f64 z y) x y) |
(* x (+ z (+ (* -1 y) (/ y x)))) |
(fma.f64 (-.f64 z y) x y) |
(* x (- z y)) |
(*.f64 (-.f64 z y) x) |
(* x (- z y)) |
(*.f64 (-.f64 z y) x) |
(* x (- z y)) |
(*.f64 (-.f64 z y) x) |
(* x (- z y)) |
(*.f64 (-.f64 z y) x) |
(* x (+ z (* -1 y))) |
(*.f64 (-.f64 z y) x) |
(* x (+ z (+ (* -1 y) (/ y x)))) |
(fma.f64 (-.f64 z y) x y) |
(* x (+ z (+ (* -1 y) (/ y x)))) |
(fma.f64 (-.f64 z y) x y) |
(* x (+ z (+ (* -1 y) (/ y x)))) |
(fma.f64 (-.f64 z y) x y) |
(* -1 x) |
(neg.f64 x) |
(* x (- (/ 1 x) 1)) |
(-.f64 #s(literal 1 binary64) x) |
(* x (- (/ 1 x) 1)) |
(-.f64 #s(literal 1 binary64) x) |
(* x (- (/ 1 x) 1)) |
(-.f64 #s(literal 1 binary64) x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* x z) |
(*.f64 z x) |
(* x z) |
(*.f64 z x) |
(* x z) |
(*.f64 z x) |
(* x z) |
(*.f64 z x) |
(* -1 (* x (+ y (* -1 z)))) |
(*.f64 (-.f64 z y) x) |
(* -1 (* x (+ y (+ (* -1 z) (* -1 (/ y x)))))) |
(fma.f64 (-.f64 z y) x y) |
(* -1 (* x (+ y (+ (* -1 z) (* -1 (/ y x)))))) |
(fma.f64 (-.f64 z y) x y) |
(* -1 (* x (+ y (+ (* -1 z) (* -1 (/ y x)))))) |
(fma.f64 (-.f64 z y) x y) |
(* -1 (* x y)) |
(*.f64 (neg.f64 x) y) |
(* -1 (* x (+ y (* -1 (/ y x))))) |
(*.f64 (-.f64 #s(literal 1 binary64) x) y) |
(* -1 (* x (+ y (* -1 (/ y x))))) |
(*.f64 (-.f64 #s(literal 1 binary64) x) y) |
(* -1 (* x (+ y (* -1 (/ y x))))) |
(*.f64 (-.f64 #s(literal 1 binary64) x) y) |
(* -1 x) |
(neg.f64 x) |
(* -1 (* x (- 1 (/ 1 x)))) |
(-.f64 #s(literal 1 binary64) x) |
(* -1 (* x (- 1 (/ 1 x)))) |
(-.f64 #s(literal 1 binary64) x) |
(* -1 (* x (- 1 (/ 1 x)))) |
(-.f64 #s(literal 1 binary64) x) |
(* -1 (* x (+ y (* -1 z)))) |
(*.f64 (-.f64 z y) x) |
(* -1 (* x (+ y (+ (* -1 z) (* -1 (/ y x)))))) |
(fma.f64 (-.f64 z y) x y) |
(* -1 (* x (+ y (+ (* -1 z) (* -1 (/ y x)))))) |
(fma.f64 (-.f64 z y) x y) |
(* -1 (* x (+ y (+ (* -1 z) (* -1 (/ y x)))))) |
(fma.f64 (-.f64 z y) x y) |
(* x (- z y)) |
(*.f64 (-.f64 z y) x) |
(* x (- z y)) |
(*.f64 (-.f64 z y) x) |
(* x (- z y)) |
(*.f64 (-.f64 z y) x) |
(* x (- z y)) |
(*.f64 (-.f64 z y) x) |
(* -1 (* x (+ y (* -1 z)))) |
(*.f64 (-.f64 z y) x) |
(* -1 (* x (+ y (+ (* -1 z) (* -1 (/ y x)))))) |
(fma.f64 (-.f64 z y) x y) |
(* -1 (* x (+ y (+ (* -1 z) (* -1 (/ y x)))))) |
(fma.f64 (-.f64 z y) x y) |
(* -1 (* x (+ y (+ (* -1 z) (* -1 (/ y x)))))) |
(fma.f64 (-.f64 z y) x y) |
(* -1 x) |
(neg.f64 x) |
(* -1 (* x (- 1 (/ 1 x)))) |
(-.f64 #s(literal 1 binary64) x) |
(* -1 (* x (- 1 (/ 1 x)))) |
(-.f64 #s(literal 1 binary64) x) |
(* -1 (* x (- 1 (/ 1 x)))) |
(-.f64 #s(literal 1 binary64) x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* x z) |
(*.f64 z x) |
(* x z) |
(*.f64 z x) |
(* x z) |
(*.f64 z x) |
(* x z) |
(*.f64 z x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 20 | 85 |
| 0 | 27 | 85 |
| 1 | 98 | 85 |
| 2 | 608 | 85 |
| 3 | 6962 | 85 |
| 0 | 8015 | 83 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) |
(*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) |
#s(approx (- 1 x) #s(literal 1 binary64)) |
#s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 #s(approx (- z y) (neg.f64 y)) x)) |
(*.f64 #s(approx (- z y) (neg.f64 y)) x) |
#s(approx (- z y) (neg.f64 y)) |
(neg.f64 y) |
(fma.f64 #s(approx (- 1 x) (neg.f64 x)) y (*.f64 z x)) |
#s(approx (- 1 x) (neg.f64 x)) |
(neg.f64 x) |
(*.f64 z x) |
| Outputs |
|---|
#<batchref> |
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Compiled 5 238 to 500 computations (90.5% saved)
7 alts after pruning (0 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 405 | 0 | 405 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 3 | 3 |
| Done | 0 | 4 | 4 |
| Total | 405 | 7 | 412 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 67.0% | (fma.f64 #s(approx (- 1 x) (neg.f64 x)) y (*.f64 z x)) |
| ✓ | 100.0% | #s(approx (+ (* (- 1 x) y) (* x z)) (fma.f64 (-.f64 z y) x y)) |
| ✓ | 67.8% | #s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 (-.f64 z y) x)) |
| ✓ | 56.2% | #s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 (-.f64 #s(literal 1 binary64) x) y)) |
| ✓ | 24.7% | #s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 #s(approx (- z y) (neg.f64 y)) x)) |
| ✓ | 33.8% | #s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) |
| ✓ | 45.7% | #s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 z x)) |
Compiled 101 to 72 computations (28.7% saved)
| Inputs |
|---|
#s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 z x)) |
#s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) |
#s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 #s(approx (- z y) (neg.f64 y)) x)) |
#s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 (-.f64 #s(literal 1 binary64) x) y)) |
#s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 (-.f64 z y) x)) |
#s(approx (+ (* (- 1 x) y) (* x z)) (fma.f64 (-.f64 z y) x y)) |
(fma.f64 #s(approx (- 1 x) (neg.f64 x)) y (*.f64 z x)) |
(fma.f64 (-.f64 #s(literal 1 binary64) x) y (*.f64 z x)) |
(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z)) |
| Outputs |
|---|
#s(approx (+ (* (- 1 x) y) (* x z)) (fma.f64 (-.f64 z y) x y)) |
4 calls:
| 4.0ms | (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z)) |
| 4.0ms | y |
| 4.0ms | z |
| 4.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | x |
| 100.0% | 1 | y |
| 100.0% | 1 | z |
| 100.0% | 1 | (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z)) |
Compiled 12 to 17 computations (-41.7% saved)
| Inputs |
|---|
#s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 z x)) |
#s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) |
#s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 #s(approx (- z y) (neg.f64 y)) x)) |
#s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 (-.f64 #s(literal 1 binary64) x) y)) |
#s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 (-.f64 z y) x)) |
| Outputs |
|---|
#s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 (-.f64 #s(literal 1 binary64) x) y)) |
#s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 (-.f64 z y) x)) |
#s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 (-.f64 #s(literal 1 binary64) x) y)) |
4 calls:
| 3.0ms | y |
| 3.0ms | z |
| 3.0ms | x |
| 3.0ms | (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 83.0% | 3 | x |
| 83.9% | 3 | y |
| 82.0% | 3 | z |
| 76.5% | 5 | (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z)) |
Compiled 12 to 17 computations (-41.7% saved)
| Inputs |
|---|
#s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 z x)) |
#s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) |
#s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 #s(approx (- z y) (neg.f64 y)) x)) |
#s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 (-.f64 #s(literal 1 binary64) x) y)) |
| Outputs |
|---|
#s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 (-.f64 #s(literal 1 binary64) x) y)) |
#s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 z x)) |
#s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 (-.f64 #s(literal 1 binary64) x) y)) |
3 calls:
| 3.0ms | z |
| 3.0ms | x |
| 3.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 76.7% | 3 | z |
| 63.0% | 2 | x |
| 78.9% | 3 | y |
Compiled 3 to 9 computations (-200% saved)
| Inputs |
|---|
#s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 z x)) |
#s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) |
#s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 #s(approx (- z y) (neg.f64 y)) x)) |
| Outputs |
|---|
#s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 #s(approx (- z y) (neg.f64 y)) x)) |
#s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 z x)) |
#s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) |
#s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 z x)) |
4 calls:
| 3.0ms | z |
| 2.0ms | x |
| 2.0ms | y |
| 2.0ms | (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 63.9% | 4 | x |
| 54.3% | 5 | (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z)) |
| 64.9% | 5 | z |
| 62.4% | 4 | y |
Compiled 12 to 17 computations (-41.7% saved)
| Inputs |
|---|
#s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 z x)) |
#s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) |
| Outputs |
|---|
#s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 z x)) |
#s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) |
#s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 z x)) |
3 calls:
| 2.0ms | z |
| 2.0ms | x |
| 2.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 60.2% | 3 | y |
| 60.8% | 3 | z |
| 60.8% | 3 | x |
Compiled 3 to 9 computations (-200% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 z x)) |
| Outputs |
|---|
#s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 z x)) |
4 calls:
| 2.0ms | x |
| 2.0ms | z |
| 2.0ms | (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z)) |
| 2.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 45.7% | 1 | (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z)) |
| 45.7% | 1 | y |
| 45.7% | 1 | x |
| 45.7% | 1 | z |
Compiled 12 to 17 computations (-41.7% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 15.0ms | 2.7076760352651484e+57 | 4.1405326960697716e+71 |
| 13.0ms | -4.8475539725800405e+79 | -4.92991771774107e+72 |
| 16.0ms | 304× | 0 | valid |
Compiled 240 to 299 computations (-24.6% saved)
ival-mult: 4.0ms (49.1% of total)ival-sub: 2.0ms (24.6% of total)ival-add: 1.0ms (12.3% 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 |
|---|---|---|
| 7.0ms | 5.443728302179448e-17 | 2.1209528456279105e-16 |
| 11.0ms | -1.3627283905434045e-33 | -1.0838453969927393e-35 |
| 10.0ms | 192× | 0 | valid |
Compiled 132 to 182 computations (-37.9% saved)
ival-mult: 3.0ms (58% of total)ival-sub: 1.0ms (19.3% of total)ival-add: 1.0ms (19.3% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 3× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 10.0ms | 5.741774146922947e-20 | 1.2364895147237366e-17 |
| 9.0ms | -1.5842197894135483e-103 | -3.2807720232123745e-104 |
| 10.0ms | -9.438074708162785e+199 | -1.1488430366137706e+198 |
| 17.0ms | 320× | 0 | valid |
Compiled 199 to 294 computations (-47.7% saved)
ival-mult: 4.0ms (47.5% of total)ival-sub: 2.0ms (23.7% of total)ival-add: 1.0ms (11.9% 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 |
|---|---|---|
| 10.0ms | 4.949316099475015e-13 | 1.0612354622103994e-10 |
| 13.0ms | -5.9609779536872206e+29 | -6.789488644021488e+23 |
| 13.0ms | 256× | 0 | valid |
Compiled 156 to 238 computations (-52.6% saved)
ival-mult: 3.0ms (44.6% of total)ival-sub: 2.0ms (29.7% of total)ival-add: 1.0ms (14.9% 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 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 53 | 257 |
| 1 | 67 | 257 |
| 2 | 73 | 257 |
| 3 | 76 | 257 |
| 4 | 77 | 257 |
| 1× | saturated |
| Inputs |
|---|
#s(approx (+ (* (- 1 x) y) (* x z)) (fma.f64 (-.f64 z y) x y)) |
(if (<=.f64 y #s(literal -2399999999999999984389279249453904970617336950594983181650650785752153063424 binary64)) #s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 (-.f64 #s(literal 1 binary64) x) y)) (if (<=.f64 y #s(literal 7599999999999999740226401369534032981523724410532740988928 binary64)) #s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 (-.f64 z y) x)) #s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 (-.f64 #s(literal 1 binary64) x) y)))) |
(if (<=.f64 y #s(literal -1099049231272839/23384026197294446691258957323460528314494920687616 binary64)) #s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 (-.f64 #s(literal 1 binary64) x) y)) (if (<=.f64 y #s(literal 4259306016766851/40564819207303340847894502572032 binary64)) #s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 z x)) #s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 (-.f64 #s(literal 1 binary64) x) y)))) |
(if (<=.f64 x #s(literal -30999999999999998551834315483724796701704923248735850184545549776656876743555390743213447439040785049492526674331789304402705770857525355505493198578045412306878133614781036495388342122934319674556416 binary64)) #s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 #s(approx (- z y) (neg.f64 y)) x)) (if (<=.f64 x #s(literal -1563471605872933/10086913586276986678343434265636765134100413253239154346994763111486904773503285916522052161250538404046496765518544896 binary64)) #s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 z x)) (if (<=.f64 x #s(literal 1784852045121347/162259276829213363391578010288128 binary64)) #s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) #s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 z x))))) |
(if (<=.f64 z #s(literal -20499999999999999035444297728 binary64)) #s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 z x)) (if (<=.f64 z #s(literal 7118155225890937/618970019642690137449562112 binary64)) #s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) #s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 z x)))) |
#s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 z x)) |
| Outputs |
|---|
#s(approx (+ (* (- 1 x) y) (* x z)) (fma.f64 (-.f64 z y) x y)) |
(if (<=.f64 y #s(literal -2399999999999999984389279249453904970617336950594983181650650785752153063424 binary64)) #s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 (-.f64 #s(literal 1 binary64) x) y)) (if (<=.f64 y #s(literal 7599999999999999740226401369534032981523724410532740988928 binary64)) #s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 (-.f64 z y) x)) #s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 (-.f64 #s(literal 1 binary64) x) y)))) |
(if (<=.f64 y #s(literal -2399999999999999984389279249453904970617336950594983181650650785752153063424 binary64)) #s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 (-.f64 #s(literal 1 binary64) x) y)) (if (<=.f64 y #s(literal 7599999999999999740226401369534032981523724410532740988928 binary64)) #s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 x (-.f64 z y))) #s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 (-.f64 #s(literal 1 binary64) x) y)))) |
(if (<=.f64 y #s(literal -1099049231272839/23384026197294446691258957323460528314494920687616 binary64)) #s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 (-.f64 #s(literal 1 binary64) x) y)) (if (<=.f64 y #s(literal 4259306016766851/40564819207303340847894502572032 binary64)) #s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 z x)) #s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 (-.f64 #s(literal 1 binary64) x) y)))) |
(if (<=.f64 y #s(literal -1099049231272839/23384026197294446691258957323460528314494920687616 binary64)) #s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 (-.f64 #s(literal 1 binary64) x) y)) (if (<=.f64 y #s(literal 4259306016766851/40564819207303340847894502572032 binary64)) #s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 x z)) #s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 (-.f64 #s(literal 1 binary64) x) y)))) |
(if (<=.f64 x #s(literal -30999999999999998551834315483724796701704923248735850184545549776656876743555390743213447439040785049492526674331789304402705770857525355505493198578045412306878133614781036495388342122934319674556416 binary64)) #s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 #s(approx (- z y) (neg.f64 y)) x)) (if (<=.f64 x #s(literal -1563471605872933/10086913586276986678343434265636765134100413253239154346994763111486904773503285916522052161250538404046496765518544896 binary64)) #s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 z x)) (if (<=.f64 x #s(literal 1784852045121347/162259276829213363391578010288128 binary64)) #s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) #s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 z x))))) |
(if (<=.f64 x #s(literal -30999999999999998551834315483724796701704923248735850184545549776656876743555390743213447439040785049492526674331789304402705770857525355505493198578045412306878133614781036495388342122934319674556416 binary64)) #s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 #s(approx (- z y) (neg.f64 y)) x)) (if (<=.f64 x #s(literal -1563471605872933/10086913586276986678343434265636765134100413253239154346994763111486904773503285916522052161250538404046496765518544896 binary64)) #s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 x z)) (if (<=.f64 x #s(literal 1784852045121347/162259276829213363391578010288128 binary64)) #s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) #s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 x z))))) |
(if (<=.f64 z #s(literal -20499999999999999035444297728 binary64)) #s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 z x)) (if (<=.f64 z #s(literal 7118155225890937/618970019642690137449562112 binary64)) #s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) #s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 z x)))) |
(if (<=.f64 z #s(literal -20499999999999999035444297728 binary64)) #s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 x z)) (if (<=.f64 z #s(literal 7118155225890937/618970019642690137449562112 binary64)) #s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) #s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 x z)))) |
#s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 z x)) |
#s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 x z)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 113 | 2246 |
| 1 | 388 | 1796 |
| 2 | 1116 | 1796 |
| 3 | 2669 | 1796 |
| 4 | 5331 | 1796 |
| 5 | 7591 | 1796 |
| 0 | 8017 | 1634 |
| 0 | 57 | 498 |
| 1 | 192 | 442 |
| 2 | 558 | 442 |
| 3 | 1392 | 442 |
| 4 | 3879 | 442 |
| 5 | 6297 | 442 |
| 0 | 8009 | 415 |
| 1× | done |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 163 to 116 computations (28.8% saved)
Compiled 258 to 124 computations (51.9% saved)
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