
Time bar (total: 5.8s)
| 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)
| 580.0ms | 8 256× | 0 | valid |
ival-mult: 173.0ms (59.6% of total)ival-add: 52.0ms (17.9% of total)ival-sub: 49.0ms (16.9% of total)ival-true: 6.0ms (2.1% of total)exact: 6.0ms (2.1% of total)ival-assert: 3.0ms (1% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 9 | 0 | - | 0 | - | (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) |
| 0 | 0 | - | 0 | - | (*.f64 (-.f64 x #s(literal 1 binary64)) z) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | (-.f64 x #s(literal 1 binary64)) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | z |
| 0 | 0 | - | 0 | - | (*.f64 x y) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
+.f64 | (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) | nan-rescue | 9 | 0 |
| ↳ | (*.f64 x y) | overflow | 32 | |
| ↳ | (*.f64 (-.f64 x #s(literal 1 binary64)) z) | overflow | 26 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 9 | 0 |
| - | 0 | 247 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 9 | 0 | 0 |
| - | 0 | 0 | 247 |
| number | freq |
|---|---|
| 0 | 247 |
| 1 | 9 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 32.0ms | 512× | 0 | valid |
Compiled 61 to 28 computations (54.1% saved)
ival-mult: 10.0ms (61.1% of total)ival-sub: 3.0ms (18.3% of total)ival-add: 2.0ms (12.2% 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: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 90 |
| 1 | 80 | 83 |
| 2 | 178 | 81 |
| 3 | 482 | 66 |
| 4 | 1083 | 64 |
| 5 | 1866 | 64 |
| 6 | 2292 | 64 |
| 7 | 2354 | 64 |
| 8 | 2362 | 64 |
| 9 | 2362 | 64 |
| 0 | 8 | 9 |
| 0 | 12 | 9 |
| 1 | 20 | 9 |
| 2 | 27 | 9 |
| 3 | 39 | 7 |
| 4 | 50 | 7 |
| 5 | 68 | 7 |
| 6 | 111 | 7 |
| 7 | 182 | 7 |
| 8 | 370 | 7 |
| 9 | 580 | 7 |
| 10 | 670 | 7 |
| 11 | 680 | 7 |
| 0 | 680 | 7 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) |
| Outputs |
|---|
(+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
Compiled 9 to 8 computations (11.1% saved)
Compiled 0 to 3 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 96.5% | (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) 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 #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 (-.f64 x #s(literal 1 binary64)) z) | |
| cost-diff | 0 | (*.f64 x y) | |
| cost-diff | 320 | (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 24 |
| 0 | 12 | 24 |
| 1 | 20 | 24 |
| 2 | 27 | 24 |
| 3 | 39 | 22 |
| 4 | 50 | 22 |
| 5 | 68 | 22 |
| 6 | 111 | 22 |
| 7 | 182 | 22 |
| 8 | 370 | 22 |
| 9 | 580 | 22 |
| 10 | 670 | 22 |
| 11 | 680 | 22 |
| 0 | 680 | 22 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) |
(*.f64 x y) |
x |
y |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(-.f64 x #s(literal 1 binary64)) |
#s(literal 1 binary64) |
z |
| Outputs |
|---|
(+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(*.f64 x y) |
(*.f64 y x) |
x |
y |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(-.f64 x #s(literal 1 binary64)) |
#s(literal 1 binary64) |
z |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (-.f64 x #s(literal 1 binary64)) | |
| accuracy | 0 | (*.f64 x y) | |
| accuracy | 0.0078125 | (*.f64 (-.f64 x #s(literal 1 binary64)) z) | |
| accuracy | 1.9999917433208234 | (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) |
| 27.0ms | 256× | 0 | valid |
Compiled 26 to 10 computations (61.5% saved)
ival-mult: 6.0ms (71.6% of total)ival-sub: 1.0ms (11.9% 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)| Inputs |
|---|
#s(alt (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) (patch (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) #<representation binary64>) () ()) |
#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ()) |
#s(alt (*.f64 (-.f64 x #s(literal 1 binary64)) z) (patch (*.f64 (-.f64 x #s(literal 1 binary64)) z) #<representation binary64>) () ()) |
#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* x y) (taylor 0 z) (#s(alt (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) (patch (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x y) (* z (- x 1))) (taylor 0 z) (#s(alt (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) (patch (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x y) (* z (- x 1))) (taylor 0 z) (#s(alt (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) (patch (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x y) (* z (- x 1))) (taylor 0 z) (#s(alt (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) (patch (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) #<representation binary64>) () ())) ()) |
#s(alt (* z (- x 1)) (taylor 0 z) (#s(alt (*.f64 (-.f64 x #s(literal 1 binary64)) z) (patch (*.f64 (-.f64 x #s(literal 1 binary64)) z) #<representation binary64>) () ())) ()) |
#s(alt (* z (- x 1)) (taylor 0 z) (#s(alt (*.f64 (-.f64 x #s(literal 1 binary64)) z) (patch (*.f64 (-.f64 x #s(literal 1 binary64)) z) #<representation binary64>) () ())) ()) |
#s(alt (* z (- x 1)) (taylor 0 z) (#s(alt (*.f64 (-.f64 x #s(literal 1 binary64)) z) (patch (*.f64 (-.f64 x #s(literal 1 binary64)) z) #<representation binary64>) () ())) ()) |
#s(alt (* z (- x 1)) (taylor 0 z) (#s(alt (*.f64 (-.f64 x #s(literal 1 binary64)) z) (patch (*.f64 (-.f64 x #s(literal 1 binary64)) z) #<representation binary64>) () ())) ()) |
#s(alt (* z (- x 1)) (taylor inf z) (#s(alt (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) (patch (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) #<representation binary64>) () ())) ()) |
#s(alt (* z (- (+ x (/ (* x y) z)) 1)) (taylor inf z) (#s(alt (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) (patch (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) #<representation binary64>) () ())) ()) |
#s(alt (* z (- (+ x (/ (* x y) z)) 1)) (taylor inf z) (#s(alt (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) (patch (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) #<representation binary64>) () ())) ()) |
#s(alt (* z (- (+ x (/ (* x y) z)) 1)) (taylor inf z) (#s(alt (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) (patch (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) #<representation binary64>) () ())) ()) |
#s(alt (* z (- x 1)) (taylor inf z) (#s(alt (*.f64 (-.f64 x #s(literal 1 binary64)) z) (patch (*.f64 (-.f64 x #s(literal 1 binary64)) z) #<representation binary64>) () ())) ()) |
#s(alt (* z (- x 1)) (taylor inf z) (#s(alt (*.f64 (-.f64 x #s(literal 1 binary64)) z) (patch (*.f64 (-.f64 x #s(literal 1 binary64)) z) #<representation binary64>) () ())) ()) |
#s(alt (* z (- x 1)) (taylor inf z) (#s(alt (*.f64 (-.f64 x #s(literal 1 binary64)) z) (patch (*.f64 (-.f64 x #s(literal 1 binary64)) z) #<representation binary64>) () ())) ()) |
#s(alt (* z (- x 1)) (taylor inf z) (#s(alt (*.f64 (-.f64 x #s(literal 1 binary64)) z) (patch (*.f64 (-.f64 x #s(literal 1 binary64)) z) #<representation binary64>) () ())) ()) |
#s(alt (* z (- x 1)) (taylor -inf z) (#s(alt (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) (patch (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ (* -1 (- x 1)) (* -1 (/ (* x y) z))))) (taylor -inf z) (#s(alt (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) (patch (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ (* -1 (- x 1)) (* -1 (/ (* x y) z))))) (taylor -inf z) (#s(alt (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) (patch (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ (* -1 (- x 1)) (* -1 (/ (* x y) z))))) (taylor -inf z) (#s(alt (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) (patch (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) #<representation binary64>) () ())) ()) |
#s(alt (* z (- x 1)) (taylor -inf z) (#s(alt (*.f64 (-.f64 x #s(literal 1 binary64)) z) (patch (*.f64 (-.f64 x #s(literal 1 binary64)) z) #<representation binary64>) () ())) ()) |
#s(alt (* z (- x 1)) (taylor -inf z) (#s(alt (*.f64 (-.f64 x #s(literal 1 binary64)) z) (patch (*.f64 (-.f64 x #s(literal 1 binary64)) z) #<representation binary64>) () ())) ()) |
#s(alt (* z (- x 1)) (taylor -inf z) (#s(alt (*.f64 (-.f64 x #s(literal 1 binary64)) z) (patch (*.f64 (-.f64 x #s(literal 1 binary64)) z) #<representation binary64>) () ())) ()) |
#s(alt (* z (- x 1)) (taylor -inf z) (#s(alt (*.f64 (-.f64 x #s(literal 1 binary64)) z) (patch (*.f64 (-.f64 x #s(literal 1 binary64)) z) #<representation binary64>) () ())) ()) |
#s(alt (* z (- x 1)) (taylor 0 y) (#s(alt (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) (patch (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x y) (* z (- x 1))) (taylor 0 y) (#s(alt (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) (patch (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x y) (* z (- x 1))) (taylor 0 y) (#s(alt (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) (patch (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x y) (* z (- x 1))) (taylor 0 y) (#s(alt (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) (patch (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor inf y) (#s(alt (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) (patch (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ x (/ (* z (- x 1)) y))) (taylor inf y) (#s(alt (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) (patch (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ x (/ (* z (- x 1)) y))) (taylor inf y) (#s(alt (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) (patch (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ x (/ (* z (- x 1)) y))) (taylor inf y) (#s(alt (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) (patch (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf y) (#s(alt (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) (patch (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- x 1)) y))))) (taylor -inf y) (#s(alt (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) (patch (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- x 1)) y))))) (taylor -inf y) (#s(alt (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) (patch (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- x 1)) y))))) (taylor -inf y) (#s(alt (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) (patch (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor 0 x) (#s(alt (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) (patch (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 z) (* x (+ y z))) (taylor 0 x) (#s(alt (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) (patch (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 z) (* x (+ y z))) (taylor 0 x) (#s(alt (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) (patch (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 z) (* x (+ y z))) (taylor 0 x) (#s(alt (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) (patch (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor 0 x) (#s(alt (*.f64 (-.f64 x #s(literal 1 binary64)) z) (patch (*.f64 (-.f64 x #s(literal 1 binary64)) z) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 z) (* x z)) (taylor 0 x) (#s(alt (*.f64 (-.f64 x #s(literal 1 binary64)) z) (patch (*.f64 (-.f64 x #s(literal 1 binary64)) z) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 z) (* x z)) (taylor 0 x) (#s(alt (*.f64 (-.f64 x #s(literal 1 binary64)) z) (patch (*.f64 (-.f64 x #s(literal 1 binary64)) z) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 z) (* x z)) (taylor 0 x) (#s(alt (*.f64 (-.f64 x #s(literal 1 binary64)) z) (patch (*.f64 (-.f64 x #s(literal 1 binary64)) z) #<representation binary64>) () ())) ()) |
#s(alt -1 (taylor 0 x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- x 1) (taylor 0 x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- x 1) (taylor 0 x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- x 1) (taylor 0 x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ y z)) (taylor inf x) (#s(alt (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) (patch (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ y (+ z (* -1 (/ z x))))) (taylor inf x) (#s(alt (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) (patch (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ y (+ z (* -1 (/ z x))))) (taylor inf x) (#s(alt (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) (patch (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ y (+ z (* -1 (/ z x))))) (taylor inf x) (#s(alt (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) (patch (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x z) (taylor inf x) (#s(alt (*.f64 (-.f64 x #s(literal 1 binary64)) z) (patch (*.f64 (-.f64 x #s(literal 1 binary64)) z) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ z (* -1 (/ z x)))) (taylor inf x) (#s(alt (*.f64 (-.f64 x #s(literal 1 binary64)) z) (patch (*.f64 (-.f64 x #s(literal 1 binary64)) z) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ z (* -1 (/ z x)))) (taylor inf x) (#s(alt (*.f64 (-.f64 x #s(literal 1 binary64)) z) (patch (*.f64 (-.f64 x #s(literal 1 binary64)) z) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ z (* -1 (/ z x)))) (taylor inf x) (#s(alt (*.f64 (-.f64 x #s(literal 1 binary64)) z) (patch (*.f64 (-.f64 x #s(literal 1 binary64)) z) #<representation binary64>) () ())) ()) |
#s(alt x (taylor inf x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- 1 (/ 1 x))) (taylor inf x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- 1 (/ 1 x))) (taylor inf x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- 1 (/ 1 x))) (taylor inf x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 y) (* -1 z)))) (taylor -inf x) (#s(alt (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) (patch (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x))))) (taylor -inf x) (#s(alt (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) (patch (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x))))) (taylor -inf x) (#s(alt (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) (patch (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x))))) (taylor -inf x) (#s(alt (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) (patch (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x z) (taylor -inf x) (#s(alt (*.f64 (-.f64 x #s(literal 1 binary64)) z) (patch (*.f64 (-.f64 x #s(literal 1 binary64)) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 z) (/ z x)))) (taylor -inf x) (#s(alt (*.f64 (-.f64 x #s(literal 1 binary64)) z) (patch (*.f64 (-.f64 x #s(literal 1 binary64)) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 z) (/ z x)))) (taylor -inf x) (#s(alt (*.f64 (-.f64 x #s(literal 1 binary64)) z) (patch (*.f64 (-.f64 x #s(literal 1 binary64)) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 z) (/ z x)))) (taylor -inf x) (#s(alt (*.f64 (-.f64 x #s(literal 1 binary64)) z) (patch (*.f64 (-.f64 x #s(literal 1 binary64)) z) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ 1 x) 1))) (taylor -inf x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ 1 x) 1))) (taylor -inf x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ 1 x) 1))) (taylor -inf x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | z | @ | 0 | ((+ (* x y) (* (- x 1) z)) (* x y) (* (- x 1) z) (- x 1)) |
| 1.0ms | x | @ | inf | ((+ (* x y) (* (- x 1) z)) (* x y) (* (- x 1) z) (- x 1)) |
| 1.0ms | z | @ | inf | ((+ (* x y) (* (- x 1) z)) (* x y) (* (- x 1) z) (- x 1)) |
| 1.0ms | x | @ | -inf | ((+ (* x y) (* (- x 1) z)) (* x y) (* (- x 1) z) (- x 1)) |
| 1.0ms | y | @ | 0 | ((+ (* x y) (* (- x 1) z)) (* x y) (* (- x 1) z) (- x 1)) |
| 1× | egg-herbie |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 54 | 494 |
| 1 | 180 | 440 |
| 2 | 532 | 440 |
| 3 | 1339 | 440 |
| 4 | 4403 | 440 |
| 0 | 8080 | 440 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* x y) |
(+ (* x y) (* z (- x 1))) |
(+ (* x y) (* z (- x 1))) |
(+ (* x y) (* z (- x 1))) |
(* z (- x 1)) |
(* z (- x 1)) |
(* z (- x 1)) |
(* z (- x 1)) |
(* z (- x 1)) |
(* z (- (+ x (/ (* x y) z)) 1)) |
(* z (- (+ x (/ (* x y) z)) 1)) |
(* z (- (+ x (/ (* x y) z)) 1)) |
(* z (- x 1)) |
(* z (- x 1)) |
(* z (- x 1)) |
(* z (- x 1)) |
(* z (- x 1)) |
(* -1 (* z (+ (* -1 (- x 1)) (* -1 (/ (* x y) z))))) |
(* -1 (* z (+ (* -1 (- x 1)) (* -1 (/ (* x y) z))))) |
(* -1 (* z (+ (* -1 (- x 1)) (* -1 (/ (* x y) z))))) |
(* z (- x 1)) |
(* z (- x 1)) |
(* z (- x 1)) |
(* z (- x 1)) |
(* z (- x 1)) |
(+ (* x y) (* z (- x 1))) |
(+ (* x y) (* z (- x 1))) |
(+ (* x y) (* z (- x 1))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* y (+ x (/ (* z (- x 1)) y))) |
(* y (+ x (/ (* z (- x 1)) y))) |
(* y (+ x (/ (* z (- x 1)) y))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- x 1)) y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- x 1)) y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- x 1)) y))))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* -1 z) |
(+ (* -1 z) (* x (+ y z))) |
(+ (* -1 z) (* x (+ y z))) |
(+ (* -1 z) (* x (+ y z))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* -1 z) |
(+ (* -1 z) (* x z)) |
(+ (* -1 z) (* x z)) |
(+ (* -1 z) (* x z)) |
-1 |
(- x 1) |
(- x 1) |
(- x 1) |
(* x (+ y z)) |
(* x (+ y (+ z (* -1 (/ z x))))) |
(* x (+ y (+ z (* -1 (/ z x))))) |
(* x (+ y (+ z (* -1 (/ z x))))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x z) |
(* x (+ z (* -1 (/ z x)))) |
(* x (+ z (* -1 (/ z x)))) |
(* x (+ z (* -1 (/ z x)))) |
x |
(* x (- 1 (/ 1 x))) |
(* x (- 1 (/ 1 x))) |
(* x (- 1 (/ 1 x))) |
(* -1 (* x (+ (* -1 y) (* -1 z)))) |
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x))))) |
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x))))) |
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x))))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x z) |
(* -1 (* x (+ (* -1 z) (/ z x)))) |
(* -1 (* x (+ (* -1 z) (/ z x)))) |
(* -1 (* x (+ (* -1 z) (/ z x)))) |
x |
(* -1 (* x (- (/ 1 x) 1))) |
(* -1 (* x (- (/ 1 x) 1))) |
(* -1 (* x (- (/ 1 x) 1))) |
| Outputs |
|---|
(* x y) |
(*.f64 y x) |
(+ (* x y) (* z (- x 1))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(+ (* x y) (* z (- x 1))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(+ (* x y) (* z (- x 1))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* z (- x 1)) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(* z (- x 1)) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(* z (- x 1)) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(* z (- x 1)) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(* z (- x 1)) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(* z (- (+ x (/ (* x y) z)) 1)) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* z (- (+ x (/ (* x y) z)) 1)) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* z (- (+ x (/ (* x y) z)) 1)) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* z (- x 1)) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(* z (- x 1)) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(* z (- x 1)) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(* z (- x 1)) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(* z (- x 1)) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(* -1 (* z (+ (* -1 (- x 1)) (* -1 (/ (* x y) z))))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* -1 (* z (+ (* -1 (- x 1)) (* -1 (/ (* x y) z))))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* -1 (* z (+ (* -1 (- x 1)) (* -1 (/ (* x y) z))))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* z (- x 1)) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(* z (- x 1)) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(* z (- x 1)) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(* z (- x 1)) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(* z (- x 1)) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(+ (* x y) (* z (- x 1))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(+ (* x y) (* z (- x 1))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(+ (* x y) (* z (- x 1))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* y (+ x (/ (* z (- x 1)) y))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* y (+ x (/ (* z (- x 1)) y))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* y (+ x (/ (* z (- x 1)) y))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- x 1)) y))))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- x 1)) y))))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- x 1)) y))))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* -1 z) |
(neg.f64 z) |
(+ (* -1 z) (* x (+ y z))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(+ (* -1 z) (* x (+ y z))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(+ (* -1 z) (* x (+ y z))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* -1 z) |
(neg.f64 z) |
(+ (* -1 z) (* x z)) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(+ (* -1 z) (* x z)) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(+ (* -1 z) (* x z)) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
-1 |
#s(literal -1 binary64) |
(- x 1) |
(-.f64 x #s(literal 1 binary64)) |
(- x 1) |
(-.f64 x #s(literal 1 binary64)) |
(- x 1) |
(-.f64 x #s(literal 1 binary64)) |
(* x (+ y z)) |
(*.f64 (+.f64 z y) x) |
(* x (+ y (+ z (* -1 (/ z x))))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* x (+ y (+ z (* -1 (/ z x))))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* x (+ y (+ z (* -1 (/ z x))))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x z) |
(*.f64 z x) |
(* x (+ z (* -1 (/ z x)))) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(* x (+ z (* -1 (/ z x)))) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(* x (+ z (* -1 (/ z x)))) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
x |
(* x (- 1 (/ 1 x))) |
(-.f64 x #s(literal 1 binary64)) |
(* x (- 1 (/ 1 x))) |
(-.f64 x #s(literal 1 binary64)) |
(* x (- 1 (/ 1 x))) |
(-.f64 x #s(literal 1 binary64)) |
(* -1 (* x (+ (* -1 y) (* -1 z)))) |
(*.f64 (+.f64 z y) x) |
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x))))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x))))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x))))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x z) |
(*.f64 z x) |
(* -1 (* x (+ (* -1 z) (/ z x)))) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(* -1 (* x (+ (* -1 z) (/ z x)))) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(* -1 (* x (+ (* -1 z) (/ z x)))) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
x |
(* -1 (* x (- (/ 1 x) 1))) |
(-.f64 x #s(literal 1 binary64)) |
(* -1 (* x (- (/ 1 x) 1))) |
(-.f64 x #s(literal 1 binary64)) |
(* -1 (* x (- (/ 1 x) 1))) |
(-.f64 x #s(literal 1 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 20 |
| 0 | 12 | 20 |
| 1 | 45 | 20 |
| 2 | 311 | 20 |
| 3 | 3854 | 20 |
| 0 | 10409 | 19 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) |
(*.f64 x y) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(-.f64 x #s(literal 1 binary64)) |
| Outputs |
|---|
#<batchref> |
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Compiled 7 790 to 1 014 computations (87% saved)
6 alts after pruning (6 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 368 | 6 | 374 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 369 | 6 | 375 |
| Status | Accuracy | Program |
|---|---|---|
| 81.7% | (+.f64 (*.f64 x y) #s(approx (* (- x 1) z) (neg.f64 z))) | |
| ▶ | 100.0% | #s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 (+.f64 z y) x (neg.f64 z))) |
| ▶ | 58.0% | #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) |
| ▶ | 62.1% | #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (+.f64 z y) x)) |
| ▶ | 44.3% | #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 y x)) |
| ▶ | 39.3% | #s(approx (+ (* x y) (* (- x 1) z)) (neg.f64 z)) |
Compiled 68 to 74 computations (-8.8% saved)
| 1× | egg-herbie |
Found 14 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 x #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 (-.f64 x #s(literal 1 binary64)) z) | |
| cost-diff | 0 | #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) | |
| cost-diff | 0 | (+.f64 z y) | |
| cost-diff | 0 | (*.f64 (+.f64 z y) x) | |
| cost-diff | 0 | #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (+.f64 z y) x)) | |
| cost-diff | 0 | (*.f64 y x) | |
| cost-diff | 0 | #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 y x)) | |
| cost-diff | 0 | (neg.f64 z) | |
| cost-diff | 0 | #s(approx (+ (* x y) (* (- x 1) z)) (neg.f64 z)) | |
| cost-diff | 0 | (neg.f64 z) | |
| cost-diff | 0 | (+.f64 z y) | |
| cost-diff | 0 | (fma.f64 (+.f64 z y) x (neg.f64 z)) | |
| cost-diff | 0 | #s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 (+.f64 z y) x (neg.f64 z))) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 20 | 117 |
| 0 | 27 | 117 |
| 1 | 41 | 117 |
| 2 | 57 | 107 |
| 3 | 106 | 107 |
| 4 | 176 | 107 |
| 5 | 309 | 107 |
| 6 | 621 | 107 |
| 7 | 805 | 107 |
| 8 | 857 | 107 |
| 9 | 861 | 107 |
| 0 | 861 | 107 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 (+.f64 z y) x (neg.f64 z))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(+.f64 z y) |
z |
y |
x |
(neg.f64 z) |
#s(approx (+ (* x y) (* (- x 1) z)) (neg.f64 z)) |
(neg.f64 z) |
z |
#s(approx (+ (* x y) (* (- x 1) z)) (*.f64 y x)) |
(*.f64 y x) |
y |
x |
#s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (+.f64 z y) x)) |
(*.f64 (+.f64 z y) x) |
(+.f64 z y) |
z |
y |
x |
#s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(-.f64 x #s(literal 1 binary64)) |
x |
#s(literal 1 binary64) |
z |
| Outputs |
|---|
#s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 (+.f64 z y) x (neg.f64 z))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(+.f64 z y) |
z |
y |
x |
(neg.f64 z) |
#s(approx (+ (* x y) (* (- x 1) z)) (neg.f64 z)) |
(neg.f64 z) |
z |
#s(approx (+ (* x y) (* (- x 1) z)) (*.f64 y x)) |
(*.f64 y x) |
y |
x |
#s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (+.f64 z y) x)) |
(*.f64 (+.f64 z y) x) |
(+.f64 z y) |
z |
y |
x |
#s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(-.f64 x #s(literal 1 binary64)) |
x |
#s(literal 1 binary64) |
z |
Found 14 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (-.f64 x #s(literal 1 binary64)) | |
| accuracy | 0.0078125 | (*.f64 (-.f64 x #s(literal 1 binary64)) z) | |
| accuracy | 26.85494243011961 | #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) | |
| accuracy | 0 | (+.f64 z y) | |
| accuracy | 0.00390625 | (*.f64 (+.f64 z y) x) | |
| accuracy | 24.224873739581252 | #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (+.f64 z y) x)) | |
| accuracy | 0 | (*.f64 y x) | |
| accuracy | 35.652088027164915 | #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 y x)) | |
| accuracy | 0 | (neg.f64 z) | |
| accuracy | 38.82812423116254 | #s(approx (+ (* x y) (* (- x 1) z)) (neg.f64 z)) | |
| accuracy | 0 | (fma.f64 (+.f64 z y) x (neg.f64 z)) | |
| accuracy | 0 | (+.f64 z y) | |
| accuracy | 0 | (neg.f64 z) | |
| accuracy | 0 | #s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 (+.f64 z y) x (neg.f64 z))) |
| 39.0ms | 256× | 0 | valid |
Compiled 93 to 15 computations (83.9% saved)
ival-add: 12.0ms (57.2% of total)ival-mult: 7.0ms (33.4% of total)ival-sub: 1.0ms (4.8% of total)ival-neg: 1.0ms (4.8% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt #s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 (+.f64 z y) x (neg.f64 z))) (patch #s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 (+.f64 z y) x (neg.f64 z))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (+.f64 z y) x (neg.f64 z)) (patch (fma.f64 (+.f64 z y) x (neg.f64 z)) #<representation binary64>) () ()) |
#s(alt (+.f64 z y) (patch (+.f64 z y) #<representation binary64>) () ()) |
#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* x y) (* (- x 1) z)) (neg.f64 z)) (patch #s(approx (+ (* x y) (* (- x 1) z)) (neg.f64 z)) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 y x)) (patch #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 y x)) #<representation binary64>) () ()) |
#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (+.f64 z y) x)) (patch #s(approx (+ (* x y) (* (- x 1) 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 #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) (patch #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) #<representation binary64>) () ()) |
#s(alt (*.f64 (-.f64 x #s(literal 1 binary64)) z) (patch (*.f64 (-.f64 x #s(literal 1 binary64)) z) #<representation binary64>) () ()) |
#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* x y) (taylor 0 z) (#s(alt #s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 (+.f64 z y) x (neg.f64 z))) (patch #s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 (+.f64 z y) x (neg.f64 z))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x y) (* z (- x 1))) (taylor 0 z) (#s(alt #s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 (+.f64 z y) x (neg.f64 z))) (patch #s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 (+.f64 z y) x (neg.f64 z))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x y) (* z (- x 1))) (taylor 0 z) (#s(alt #s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 (+.f64 z y) x (neg.f64 z))) (patch #s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 (+.f64 z y) x (neg.f64 z))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x y) (* z (- x 1))) (taylor 0 z) (#s(alt #s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 (+.f64 z y) x (neg.f64 z))) (patch #s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 (+.f64 z y) x (neg.f64 z))) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 z) (#s(alt (fma.f64 (+.f64 z y) x (neg.f64 z)) (patch (fma.f64 (+.f64 z y) x (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x y) (* z (- x 1))) (taylor 0 z) (#s(alt (fma.f64 (+.f64 z y) x (neg.f64 z)) (patch (fma.f64 (+.f64 z y) x (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x y) (* z (- x 1))) (taylor 0 z) (#s(alt (fma.f64 (+.f64 z y) x (neg.f64 z)) (patch (fma.f64 (+.f64 z y) x (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x y) (* z (- x 1))) (taylor 0 z) (#s(alt (fma.f64 (+.f64 z y) x (neg.f64 z)) (patch (fma.f64 (+.f64 z y) x (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt y (taylor 0 z) (#s(alt (+.f64 z y) (patch (+.f64 z y) #<representation binary64>) () ())) ()) |
#s(alt (+ y z) (taylor 0 z) (#s(alt (+.f64 z y) (patch (+.f64 z y) #<representation binary64>) () ())) ()) |
#s(alt (+ y z) (taylor 0 z) (#s(alt (+.f64 z y) (patch (+.f64 z y) #<representation binary64>) () ())) ()) |
#s(alt (+ y z) (taylor 0 z) (#s(alt (+.f64 z y) (patch (+.f64 z y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 z) (#s(alt #s(approx (+ (* x y) (* (- x 1) z)) (neg.f64 z)) (patch #s(approx (+ (* x y) (* (- x 1) z)) (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x y) (* z (- x 1))) (taylor 0 z) (#s(alt #s(approx (+ (* x y) (* (- x 1) z)) (neg.f64 z)) (patch #s(approx (+ (* x y) (* (- x 1) z)) (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x y) (* z (- x 1))) (taylor 0 z) (#s(alt #s(approx (+ (* x y) (* (- x 1) z)) (neg.f64 z)) (patch #s(approx (+ (* x y) (* (- x 1) z)) (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x y) (* z (- x 1))) (taylor 0 z) (#s(alt #s(approx (+ (* x y) (* (- x 1) z)) (neg.f64 z)) (patch #s(approx (+ (* x y) (* (- x 1) z)) (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 z) (#s(alt #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 y x)) (patch #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x y) (* z (- x 1))) (taylor 0 z) (#s(alt #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 y x)) (patch #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x y) (* z (- x 1))) (taylor 0 z) (#s(alt #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 y x)) (patch #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x y) (* z (- x 1))) (taylor 0 z) (#s(alt #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 y x)) (patch #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 z) (#s(alt #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (+.f64 z y) x)) (patch #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (+.f64 z y) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x y) (* z (- x 1))) (taylor 0 z) (#s(alt #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (+.f64 z y) x)) (patch #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (+.f64 z y) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x y) (* z (- x 1))) (taylor 0 z) (#s(alt #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (+.f64 z y) x)) (patch #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (+.f64 z y) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x y) (* z (- x 1))) (taylor 0 z) (#s(alt #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (+.f64 z y) x)) (patch #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (+.f64 z y) x)) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 z) (#s(alt (*.f64 (+.f64 z y) x) (patch (*.f64 (+.f64 z y) x) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x y) (* x z)) (taylor 0 z) (#s(alt (*.f64 (+.f64 z y) x) (patch (*.f64 (+.f64 z y) x) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x y) (* x z)) (taylor 0 z) (#s(alt (*.f64 (+.f64 z y) x) (patch (*.f64 (+.f64 z y) x) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x y) (* x z)) (taylor 0 z) (#s(alt (*.f64 (+.f64 z y) x) (patch (*.f64 (+.f64 z y) x) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 z) (#s(alt #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) (patch #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x y) (* z (- x 1))) (taylor 0 z) (#s(alt #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) (patch #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x y) (* z (- x 1))) (taylor 0 z) (#s(alt #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) (patch #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x y) (* z (- x 1))) (taylor 0 z) (#s(alt #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) (patch #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) #<representation binary64>) () ())) ()) |
#s(alt (* z (- x 1)) (taylor 0 z) (#s(alt (*.f64 (-.f64 x #s(literal 1 binary64)) z) (patch (*.f64 (-.f64 x #s(literal 1 binary64)) z) #<representation binary64>) () ())) ()) |
#s(alt (* z (- x 1)) (taylor 0 z) (#s(alt (*.f64 (-.f64 x #s(literal 1 binary64)) z) (patch (*.f64 (-.f64 x #s(literal 1 binary64)) z) #<representation binary64>) () ())) ()) |
#s(alt (* z (- x 1)) (taylor 0 z) (#s(alt (*.f64 (-.f64 x #s(literal 1 binary64)) z) (patch (*.f64 (-.f64 x #s(literal 1 binary64)) z) #<representation binary64>) () ())) ()) |
#s(alt (* z (- x 1)) (taylor 0 z) (#s(alt (*.f64 (-.f64 x #s(literal 1 binary64)) z) (patch (*.f64 (-.f64 x #s(literal 1 binary64)) z) #<representation binary64>) () ())) ()) |
#s(alt (* z (- x 1)) (taylor inf z) (#s(alt #s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 (+.f64 z y) x (neg.f64 z))) (patch #s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 (+.f64 z y) x (neg.f64 z))) #<representation binary64>) () ())) ()) |
#s(alt (* z (- (+ x (/ (* x y) z)) 1)) (taylor inf z) (#s(alt #s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 (+.f64 z y) x (neg.f64 z))) (patch #s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 (+.f64 z y) x (neg.f64 z))) #<representation binary64>) () ())) ()) |
#s(alt (* z (- (+ x (/ (* x y) z)) 1)) (taylor inf z) (#s(alt #s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 (+.f64 z y) x (neg.f64 z))) (patch #s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 (+.f64 z y) x (neg.f64 z))) #<representation binary64>) () ())) ()) |
#s(alt (* z (- (+ x (/ (* x y) z)) 1)) (taylor inf z) (#s(alt #s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 (+.f64 z y) x (neg.f64 z))) (patch #s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 (+.f64 z y) x (neg.f64 z))) #<representation binary64>) () ())) ()) |
#s(alt (* z (- x 1)) (taylor inf z) (#s(alt (fma.f64 (+.f64 z y) x (neg.f64 z)) (patch (fma.f64 (+.f64 z y) x (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (* z (- (+ x (/ (* x y) z)) 1)) (taylor inf z) (#s(alt (fma.f64 (+.f64 z y) x (neg.f64 z)) (patch (fma.f64 (+.f64 z y) x (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (* z (- (+ x (/ (* x y) z)) 1)) (taylor inf z) (#s(alt (fma.f64 (+.f64 z y) x (neg.f64 z)) (patch (fma.f64 (+.f64 z y) x (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (* z (- (+ x (/ (* x y) z)) 1)) (taylor inf z) (#s(alt (fma.f64 (+.f64 z y) x (neg.f64 z)) (patch (fma.f64 (+.f64 z y) x (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt z (taylor inf z) (#s(alt (+.f64 z y) (patch (+.f64 z y) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ 1 (/ y z))) (taylor inf z) (#s(alt (+.f64 z y) (patch (+.f64 z y) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ 1 (/ y z))) (taylor inf z) (#s(alt (+.f64 z y) (patch (+.f64 z y) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ 1 (/ y z))) (taylor inf z) (#s(alt (+.f64 z y) (patch (+.f64 z y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor inf z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor inf z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor inf z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor inf z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ()) |
#s(alt (* z (- x 1)) (taylor inf z) (#s(alt #s(approx (+ (* x y) (* (- x 1) z)) (neg.f64 z)) (patch #s(approx (+ (* x y) (* (- x 1) z)) (neg.f64 z)) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x))))) (taylor -inf x) (#s(alt #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) (patch #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x))))) (taylor -inf x) (#s(alt #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) (patch #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x))))) (taylor -inf x) (#s(alt #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) (patch #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) #<representation binary64>) () ())) ()) |
#s(alt (* x z) (taylor -inf x) (#s(alt (*.f64 (-.f64 x #s(literal 1 binary64)) z) (patch (*.f64 (-.f64 x #s(literal 1 binary64)) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 z) (/ z x)))) (taylor -inf x) (#s(alt (*.f64 (-.f64 x #s(literal 1 binary64)) z) (patch (*.f64 (-.f64 x #s(literal 1 binary64)) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 z) (/ z x)))) (taylor -inf x) (#s(alt (*.f64 (-.f64 x #s(literal 1 binary64)) z) (patch (*.f64 (-.f64 x #s(literal 1 binary64)) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 z) (/ z x)))) (taylor -inf x) (#s(alt (*.f64 (-.f64 x #s(literal 1 binary64)) z) (patch (*.f64 (-.f64 x #s(literal 1 binary64)) z) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ 1 x) 1))) (taylor -inf x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ 1 x) 1))) (taylor -inf x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ 1 x) 1))) (taylor -inf x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | -inf | ((+ (* x y) (* (- x 1) z)) (+ (* (+ z y) x) (neg z)) (+ z y) (neg z) (+ (* x y) (* (- x 1) z)) (+ (* x y) (* (- x 1) z)) (* y x) (+ (* x y) (* (- x 1) z)) (* (+ z y) x) (+ (* x y) (* (- x 1) z)) (* (- x 1) z) (- x 1)) |
| 1.0ms | x | @ | inf | ((+ (* x y) (* (- x 1) z)) (+ (* (+ z y) x) (neg z)) (+ z y) (neg z) (+ (* x y) (* (- x 1) z)) (+ (* x y) (* (- x 1) z)) (* y x) (+ (* x y) (* (- x 1) z)) (* (+ z y) x) (+ (* x y) (* (- x 1) z)) (* (- x 1) z) (- x 1)) |
| 1.0ms | z | @ | inf | ((+ (* x y) (* (- x 1) z)) (+ (* (+ z y) x) (neg z)) (+ z y) (neg z) (+ (* x y) (* (- x 1) z)) (+ (* x y) (* (- x 1) z)) (* y x) (+ (* x y) (* (- x 1) z)) (* (+ z y) x) (+ (* x y) (* (- x 1) z)) (* (- x 1) z) (- x 1)) |
| 1.0ms | z | @ | -inf | ((+ (* x y) (* (- x 1) z)) (+ (* (+ z y) x) (neg z)) (+ z y) (neg z) (+ (* x y) (* (- x 1) z)) (+ (* x y) (* (- x 1) z)) (* y x) (+ (* x y) (* (- x 1) z)) (* (+ z y) x) (+ (* x y) (* (- x 1) z)) (* (- x 1) z) (- x 1)) |
| 1.0ms | y | @ | -inf | ((+ (* x y) (* (- x 1) z)) (+ (* (+ z y) x) (neg z)) (+ z y) (neg z) (+ (* x y) (* (- x 1) z)) (+ (* x y) (* (- x 1) z)) (* y x) (+ (* x y) (* (- x 1) z)) (* (+ z y) x) (+ (* x y) (* (- x 1) z)) (* (- x 1) z) (- x 1)) |
| 1× | egg-herbie |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 100 | 2141 |
| 1 | 346 | 1817 |
| 2 | 1017 | 1817 |
| 3 | 2559 | 1817 |
| 4 | 5278 | 1817 |
| 5 | 7095 | 1817 |
| 0 | 8083 | 1817 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* x y) |
(+ (* x y) (* z (- x 1))) |
(+ (* x y) (* z (- x 1))) |
(+ (* x y) (* z (- x 1))) |
(* x y) |
(+ (* x y) (* z (- x 1))) |
(+ (* x y) (* z (- x 1))) |
(+ (* x y) (* z (- x 1))) |
y |
(+ y z) |
(+ y z) |
(+ y z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* x y) |
(+ (* x y) (* z (- x 1))) |
(+ (* x y) (* z (- x 1))) |
(+ (* x y) (* z (- x 1))) |
(* x y) |
(+ (* x y) (* z (- x 1))) |
(+ (* x y) (* z (- x 1))) |
(+ (* x y) (* z (- x 1))) |
(* x y) |
(+ (* x y) (* z (- x 1))) |
(+ (* x y) (* z (- x 1))) |
(+ (* x y) (* z (- x 1))) |
(* x y) |
(+ (* x y) (* x z)) |
(+ (* x y) (* x z)) |
(+ (* x y) (* x z)) |
(* x y) |
(+ (* x y) (* z (- x 1))) |
(+ (* x y) (* z (- x 1))) |
(+ (* x y) (* z (- x 1))) |
(* z (- x 1)) |
(* z (- x 1)) |
(* z (- x 1)) |
(* z (- x 1)) |
(* z (- x 1)) |
(* z (- (+ x (/ (* x y) z)) 1)) |
(* z (- (+ x (/ (* x y) z)) 1)) |
(* z (- (+ x (/ (* x y) z)) 1)) |
(* z (- x 1)) |
(* z (- (+ x (/ (* x y) z)) 1)) |
(* z (- (+ x (/ (* x y) z)) 1)) |
(* z (- (+ x (/ (* x y) z)) 1)) |
z |
(* z (+ 1 (/ y z))) |
(* z (+ 1 (/ y z))) |
(* z (+ 1 (/ y z))) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* z (- x 1)) |
(* z (- (+ x (/ (* x y) z)) 1)) |
(* z (- (+ x (/ (* x y) z)) 1)) |
(* z (- (+ x (/ (* x y) z)) 1)) |
(* z (- x 1)) |
(* z (- (+ x (/ (* x y) z)) 1)) |
(* z (- (+ x (/ (* x y) z)) 1)) |
(* z (- (+ x (/ (* x y) z)) 1)) |
(* z (- x 1)) |
(* z (- (+ x (/ (* x y) z)) 1)) |
(* z (- (+ x (/ (* x y) z)) 1)) |
(* z (- (+ x (/ (* x y) z)) 1)) |
(* x z) |
(* z (+ x (/ (* x y) z))) |
(* z (+ x (/ (* x y) z))) |
(* z (+ x (/ (* x y) z))) |
(* z (- x 1)) |
(* z (- (+ x (/ (* x y) z)) 1)) |
(* z (- (+ x (/ (* x y) z)) 1)) |
(* z (- (+ x (/ (* x y) z)) 1)) |
(* z (- x 1)) |
(* z (- x 1)) |
(* z (- x 1)) |
(* z (- x 1)) |
(* z (- x 1)) |
(* -1 (* z (+ (* -1 (- x 1)) (* -1 (/ (* x y) z))))) |
(* -1 (* z (+ (* -1 (- x 1)) (* -1 (/ (* x y) z))))) |
(* -1 (* z (+ (* -1 (- x 1)) (* -1 (/ (* x y) z))))) |
(* -1 (* z (+ 1 (* -1 x)))) |
(* -1 (* z (+ 1 (+ (* -1 x) (* -1 (/ (* x y) z)))))) |
(* -1 (* z (+ 1 (+ (* -1 x) (* -1 (/ (* x y) z)))))) |
(* -1 (* z (+ 1 (+ (* -1 x) (* -1 (/ (* x y) z)))))) |
z |
(* -1 (* z (- (* -1 (/ y z)) 1))) |
(* -1 (* z (- (* -1 (/ y z)) 1))) |
(* -1 (* z (- (* -1 (/ y z)) 1))) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* z (- x 1)) |
(* -1 (* z (+ (* -1 (- x 1)) (* -1 (/ (* x y) z))))) |
(* -1 (* z (+ (* -1 (- x 1)) (* -1 (/ (* x y) z))))) |
(* -1 (* z (+ (* -1 (- x 1)) (* -1 (/ (* x y) z))))) |
(* z (- x 1)) |
(* -1 (* z (+ (* -1 (- x 1)) (* -1 (/ (* x y) z))))) |
(* -1 (* z (+ (* -1 (- x 1)) (* -1 (/ (* x y) z))))) |
(* -1 (* z (+ (* -1 (- x 1)) (* -1 (/ (* x y) z))))) |
(* z (- x 1)) |
(* -1 (* z (+ (* -1 (- x 1)) (* -1 (/ (* x y) z))))) |
(* -1 (* z (+ (* -1 (- x 1)) (* -1 (/ (* x y) z))))) |
(* -1 (* z (+ (* -1 (- x 1)) (* -1 (/ (* x y) z))))) |
(* x z) |
(* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z))))) |
(* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z))))) |
(* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z))))) |
(* z (- x 1)) |
(* -1 (* z (+ (* -1 (- x 1)) (* -1 (/ (* x y) z))))) |
(* -1 (* z (+ (* -1 (- x 1)) (* -1 (/ (* x y) z))))) |
(* -1 (* z (+ (* -1 (- x 1)) (* -1 (/ (* x y) z))))) |
(* z (- x 1)) |
(* z (- x 1)) |
(* z (- x 1)) |
(* z (- x 1)) |
(* z (- x 1)) |
(+ (* x y) (* z (- x 1))) |
(+ (* x y) (* z (- x 1))) |
(+ (* x y) (* z (- x 1))) |
(- (* x z) z) |
(- (+ (* x y) (* x z)) z) |
(- (+ (* x y) (* x z)) z) |
(- (+ (* x y) (* x z)) z) |
z |
(+ y z) |
(+ y z) |
(+ y z) |
(* z (- x 1)) |
(+ (* x y) (* z (- x 1))) |
(+ (* x y) (* z (- x 1))) |
(+ (* x y) (* z (- x 1))) |
(* z (- x 1)) |
(+ (* x y) (* z (- x 1))) |
(+ (* x y) (* z (- x 1))) |
(+ (* x y) (* z (- x 1))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* z (- x 1)) |
(+ (* x y) (* z (- x 1))) |
(+ (* x y) (* z (- x 1))) |
(+ (* x y) (* z (- x 1))) |
(* x z) |
(+ (* x y) (* x z)) |
(+ (* x y) (* x z)) |
(+ (* x y) (* x z)) |
(* z (- x 1)) |
(+ (* x y) (* z (- x 1))) |
(+ (* x y) (* z (- x 1))) |
(+ (* x y) (* z (- x 1))) |
(* x y) |
(* y (+ x (/ (* z (- x 1)) y))) |
(* y (+ x (/ (* z (- x 1)) y))) |
(* y (+ x (/ (* z (- x 1)) y))) |
(* x y) |
(* y (- (+ x (/ (* x z) y)) (/ z y))) |
(* y (- (+ x (/ (* x z) y)) (/ z y))) |
(* y (- (+ x (/ (* x z) y)) (/ z y))) |
y |
(* y (+ 1 (/ z y))) |
(* y (+ 1 (/ z y))) |
(* y (+ 1 (/ z y))) |
(* x y) |
(* y (+ x (/ (* z (- x 1)) y))) |
(* y (+ x (/ (* z (- x 1)) y))) |
(* y (+ x (/ (* z (- x 1)) y))) |
(* x y) |
(* y (+ x (/ (* z (- x 1)) y))) |
(* y (+ x (/ (* z (- x 1)) y))) |
(* y (+ x (/ (* z (- x 1)) y))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* y (+ x (/ (* z (- x 1)) y))) |
(* y (+ x (/ (* z (- x 1)) y))) |
(* y (+ x (/ (* z (- x 1)) y))) |
(* x y) |
(* y (+ x (/ (* x z) y))) |
(* y (+ x (/ (* x z) y))) |
(* y (+ x (/ (* x z) y))) |
(* x y) |
(* y (+ x (/ (* z (- x 1)) y))) |
(* y (+ x (/ (* z (- x 1)) y))) |
(* y (+ x (/ (* z (- x 1)) y))) |
(* x y) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- x 1)) y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- x 1)) y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- x 1)) y))))) |
(* x y) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (- (* x z) z) y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (- (* x z) z) y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (- (* x z) z) y))))) |
y |
(* -1 (* y (- (* -1 (/ z y)) 1))) |
(* -1 (* y (- (* -1 (/ z y)) 1))) |
(* -1 (* y (- (* -1 (/ z y)) 1))) |
(* x y) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- x 1)) y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- x 1)) y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- x 1)) y))))) |
(* x y) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- x 1)) y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- x 1)) y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- x 1)) y))))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- x 1)) y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- x 1)) y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- x 1)) y))))) |
(* x y) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y))))) |
(* x y) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- x 1)) y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- x 1)) y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- x 1)) y))))) |
(* -1 z) |
(+ (* -1 z) (* x (+ y z))) |
(+ (* -1 z) (* x (+ y z))) |
(+ (* -1 z) (* x (+ y z))) |
(* -1 z) |
(- (* x (+ y z)) z) |
(- (* x (+ y z)) z) |
(- (* x (+ y z)) z) |
(* -1 z) |
(+ (* -1 z) (* x (+ y z))) |
(+ (* -1 z) (* x (+ y z))) |
(+ (* -1 z) (* x (+ y z))) |
(* -1 z) |
(+ (* -1 z) (* x (+ y z))) |
(+ (* -1 z) (* x (+ y z))) |
(+ (* -1 z) (* x (+ y z))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* -1 z) |
(+ (* -1 z) (* x (+ y z))) |
(+ (* -1 z) (* x (+ y z))) |
(+ (* -1 z) (* x (+ y z))) |
(* x (+ y z)) |
(* x (+ y z)) |
(* x (+ y z)) |
(* x (+ y z)) |
(* -1 z) |
(+ (* -1 z) (* x (+ y z))) |
(+ (* -1 z) (* x (+ y z))) |
(+ (* -1 z) (* x (+ y z))) |
(* -1 z) |
(+ (* -1 z) (* x z)) |
(+ (* -1 z) (* x z)) |
(+ (* -1 z) (* x z)) |
-1 |
(- x 1) |
(- x 1) |
(- x 1) |
(* x (+ y z)) |
(* x (+ y (+ z (* -1 (/ z x))))) |
(* x (+ y (+ z (* -1 (/ z x))))) |
(* x (+ y (+ z (* -1 (/ z x))))) |
(* x (+ y z)) |
(* x (+ y (+ z (* -1 (/ z x))))) |
(* x (+ y (+ z (* -1 (/ z x))))) |
(* x (+ y (+ z (* -1 (/ z x))))) |
(* x (+ y z)) |
(* x (+ y (+ z (* -1 (/ z x))))) |
(* x (+ y (+ z (* -1 (/ z x))))) |
(* x (+ y (+ z (* -1 (/ z x))))) |
(* x (+ y z)) |
(* x (+ y (+ z (* -1 (/ z x))))) |
(* x (+ y (+ z (* -1 (/ z x))))) |
(* x (+ y (+ z (* -1 (/ z x))))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x (+ y z)) |
(* x (+ y (+ z (* -1 (/ z x))))) |
(* x (+ y (+ z (* -1 (/ z x))))) |
(* x (+ y (+ z (* -1 (/ z x))))) |
(* x (+ y z)) |
(* x (+ y z)) |
(* x (+ y z)) |
(* x (+ y z)) |
(* x (+ y z)) |
(* x (+ y (+ z (* -1 (/ z x))))) |
(* x (+ y (+ z (* -1 (/ z x))))) |
(* x (+ y (+ z (* -1 (/ z x))))) |
(* x z) |
(* x (+ z (* -1 (/ z x)))) |
(* x (+ z (* -1 (/ z x)))) |
(* x (+ z (* -1 (/ z x)))) |
x |
(* x (- 1 (/ 1 x))) |
(* x (- 1 (/ 1 x))) |
(* x (- 1 (/ 1 x))) |
(* -1 (* x (+ (* -1 y) (* -1 z)))) |
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x))))) |
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x))))) |
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x))))) |
(* x (+ y z)) |
(* -1 (* x (+ (* -1 (+ y z)) (/ z x)))) |
(* -1 (* x (+ (* -1 (+ y z)) (/ z x)))) |
(* -1 (* x (+ (* -1 (+ y z)) (/ z x)))) |
(* -1 (* x (+ (* -1 y) (* -1 z)))) |
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x))))) |
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x))))) |
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x))))) |
(* -1 (* x (+ (* -1 y) (* -1 z)))) |
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x))))) |
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x))))) |
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x))))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* -1 (* x (+ (* -1 y) (* -1 z)))) |
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x))))) |
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x))))) |
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x))))) |
(* x (+ y z)) |
(* x (+ y z)) |
(* x (+ y z)) |
(* x (+ y z)) |
(* -1 (* x (+ (* -1 y) (* -1 z)))) |
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x))))) |
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x))))) |
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x))))) |
(* x z) |
(* -1 (* x (+ (* -1 z) (/ z x)))) |
(* -1 (* x (+ (* -1 z) (/ z x)))) |
(* -1 (* x (+ (* -1 z) (/ z x)))) |
x |
(* -1 (* x (- (/ 1 x) 1))) |
(* -1 (* x (- (/ 1 x) 1))) |
(* -1 (* x (- (/ 1 x) 1))) |
| Outputs |
|---|
(* x y) |
(*.f64 y x) |
(+ (* x y) (* z (- x 1))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(+ (* x y) (* z (- x 1))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(+ (* x y) (* z (- x 1))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* x y) |
(*.f64 y x) |
(+ (* x y) (* z (- x 1))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(+ (* x y) (* z (- x 1))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(+ (* x y) (* z (- x 1))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
y |
(+ y z) |
(+.f64 z y) |
(+ y z) |
(+.f64 z y) |
(+ y z) |
(+.f64 z y) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* x y) |
(*.f64 y x) |
(+ (* x y) (* z (- x 1))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(+ (* x y) (* z (- x 1))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(+ (* x y) (* z (- x 1))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* x y) |
(*.f64 y x) |
(+ (* x y) (* z (- x 1))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(+ (* x y) (* z (- x 1))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(+ (* x y) (* z (- x 1))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* x y) |
(*.f64 y x) |
(+ (* x y) (* z (- x 1))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(+ (* x y) (* z (- x 1))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(+ (* x y) (* z (- x 1))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* x y) |
(*.f64 y x) |
(+ (* x y) (* x z)) |
(*.f64 (+.f64 z y) x) |
(+ (* x y) (* x z)) |
(*.f64 (+.f64 z y) x) |
(+ (* x y) (* x z)) |
(*.f64 (+.f64 z y) x) |
(* x y) |
(*.f64 y x) |
(+ (* x y) (* z (- x 1))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(+ (* x y) (* z (- x 1))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(+ (* x y) (* z (- x 1))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* z (- x 1)) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(* z (- x 1)) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(* z (- x 1)) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(* z (- x 1)) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(* z (- x 1)) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(* z (- (+ x (/ (* x y) z)) 1)) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* z (- (+ x (/ (* x y) z)) 1)) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* z (- (+ x (/ (* x y) z)) 1)) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* z (- x 1)) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(* z (- (+ x (/ (* x y) z)) 1)) |
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(*.f64 (+.f64 z y) x) |
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(*.f64 (+.f64 z y) x) |
(* x (+ y z)) |
(*.f64 (+.f64 z y) x) |
(* x (+ y z)) |
(*.f64 (+.f64 z y) x) |
(* x (+ y z)) |
(*.f64 (+.f64 z y) x) |
(* x (+ y (+ z (* -1 (/ z x))))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* x (+ y (+ z (* -1 (/ z x))))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* x (+ y (+ z (* -1 (/ z x))))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* x z) |
(*.f64 z x) |
(* x (+ z (* -1 (/ z x)))) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(* x (+ z (* -1 (/ z x)))) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(* x (+ z (* -1 (/ z x)))) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
x |
(* x (- 1 (/ 1 x))) |
(-.f64 x #s(literal 1 binary64)) |
(* x (- 1 (/ 1 x))) |
(-.f64 x #s(literal 1 binary64)) |
(* x (- 1 (/ 1 x))) |
(-.f64 x #s(literal 1 binary64)) |
(* -1 (* x (+ (* -1 y) (* -1 z)))) |
(*.f64 (+.f64 z y) x) |
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x))))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x))))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x))))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* x (+ y z)) |
(*.f64 (+.f64 z y) x) |
(* -1 (* x (+ (* -1 (+ y z)) (/ z x)))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* -1 (* x (+ (* -1 (+ y z)) (/ z x)))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* -1 (* x (+ (* -1 (+ y z)) (/ z x)))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* -1 (* x (+ (* -1 y) (* -1 z)))) |
(*.f64 (+.f64 z y) x) |
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x))))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x))))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x))))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* -1 (* x (+ (* -1 y) (* -1 z)))) |
(*.f64 (+.f64 z y) x) |
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x))))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x))))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x))))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* -1 (* x (+ (* -1 y) (* -1 z)))) |
(*.f64 (+.f64 z y) x) |
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x))))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x))))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x))))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* x (+ y z)) |
(*.f64 (+.f64 z y) x) |
(* x (+ y z)) |
(*.f64 (+.f64 z y) x) |
(* x (+ y z)) |
(*.f64 (+.f64 z y) x) |
(* x (+ y z)) |
(*.f64 (+.f64 z y) x) |
(* -1 (* x (+ (* -1 y) (* -1 z)))) |
(*.f64 (+.f64 z y) x) |
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x))))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x))))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x))))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* x z) |
(*.f64 z x) |
(* -1 (* x (+ (* -1 z) (/ z x)))) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(* -1 (* x (+ (* -1 z) (/ z x)))) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(* -1 (* x (+ (* -1 z) (/ z x)))) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
x |
(* -1 (* x (- (/ 1 x) 1))) |
(-.f64 x #s(literal 1 binary64)) |
(* -1 (* x (- (/ 1 x) 1))) |
(-.f64 x #s(literal 1 binary64)) |
(* -1 (* x (- (/ 1 x) 1))) |
(-.f64 x #s(literal 1 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 20 | 100 |
| 0 | 27 | 100 |
| 1 | 90 | 100 |
| 2 | 638 | 81 |
| 0 | 9198 | 79 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 (+.f64 z y) x (neg.f64 z))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(+.f64 z y) |
(neg.f64 z) |
#s(approx (+ (* x y) (* (- x 1) z)) (neg.f64 z)) |
#s(approx (+ (* x y) (* (- x 1) z)) (*.f64 y x)) |
(*.f64 y x) |
#s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (+.f64 z y) x)) |
(*.f64 (+.f64 z y) x) |
#s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(-.f64 x #s(literal 1 binary64)) |
| Outputs |
|---|
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Compiled 15 148 to 2 010 computations (86.7% saved)
8 alts after pruning (4 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 012 | 3 | 1 015 |
| Fresh | 0 | 1 | 1 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 013 | 8 | 1 021 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 81.7% | (+.f64 (*.f64 x y) #s(approx (* (- x 1) z) (neg.f64 z))) |
| ✓ | 100.0% | #s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 (+.f64 z y) x (neg.f64 z))) |
| ▶ | 58.0% | #s(approx (+ (* x y) (* (- x 1) z)) (-.f64 (*.f64 z x) z)) |
| ✓ | 62.1% | #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (+.f64 z y) x)) |
| ✓ | 44.3% | #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 y x)) |
| ✓ | 39.3% | #s(approx (+ (* x y) (* (- x 1) z)) (neg.f64 z)) |
| ▶ | 21.2% | #s(approx (+ (* x y) (* (- x 1) z)) #s(approx (* (- x 1) z) (*.f64 z x))) |
| ▶ | 2.7% | #s(approx (+ (* x y) (* (- x 1) z)) z) |
Compiled 41 to 46 computations (-12.2% saved)
| 1× | egg-herbie |
Found 11 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (neg.f64 z) | |
| cost-diff | 0 | #s(approx (* (- x 1) z) (neg.f64 z)) | |
| cost-diff | 0 | (*.f64 x y) | |
| cost-diff | 128 | (+.f64 (*.f64 x y) #s(approx (* (- x 1) z) (neg.f64 z))) | |
| cost-diff | 0 | (*.f64 z x) | |
| cost-diff | 0 | (-.f64 (*.f64 z x) z) | |
| cost-diff | 0 | #s(approx (+ (* x y) (* (- x 1) z)) (-.f64 (*.f64 z x) z)) | |
| cost-diff | 0 | (*.f64 z x) | |
| cost-diff | 0 | #s(approx (* (- x 1) z) (*.f64 z x)) | |
| cost-diff | 0 | #s(approx (+ (* x y) (* (- x 1) z)) #s(approx (* (- x 1) z) (*.f64 z x))) | |
| cost-diff | 0 | #s(approx (+ (* x y) (* (- x 1) z)) z) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 98 |
| 0 | 23 | 98 |
| 1 | 36 | 98 |
| 2 | 44 | 98 |
| 3 | 62 | 92 |
| 4 | 121 | 92 |
| 5 | 184 | 92 |
| 6 | 356 | 92 |
| 7 | 557 | 92 |
| 8 | 691 | 92 |
| 9 | 732 | 92 |
| 10 | 751 | 92 |
| 11 | 765 | 92 |
| 12 | 768 | 92 |
| 0 | 768 | 91 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ (* x y) (* (- x 1) z)) z) |
z |
#s(approx (+ (* x y) (* (- x 1) z)) #s(approx (* (- x 1) z) (*.f64 z x))) |
#s(approx (* (- x 1) z) (*.f64 z x)) |
(*.f64 z x) |
z |
x |
#s(approx (+ (* x y) (* (- x 1) z)) (-.f64 (*.f64 z x) z)) |
(-.f64 (*.f64 z x) z) |
(*.f64 z x) |
z |
x |
(+.f64 (*.f64 x y) #s(approx (* (- x 1) z) (neg.f64 z))) |
(*.f64 x y) |
x |
y |
#s(approx (* (- x 1) z) (neg.f64 z)) |
(neg.f64 z) |
z |
| Outputs |
|---|
#s(approx (+ (* x y) (* (- x 1) z)) z) |
z |
#s(approx (+ (* x y) (* (- x 1) z)) #s(approx (* (- x 1) z) (*.f64 z x))) |
#s(approx (* (- x 1) z) (*.f64 z x)) |
(*.f64 z x) |
z |
x |
#s(approx (+ (* x y) (* (- x 1) z)) (-.f64 (*.f64 z x) z)) |
#s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) |
(-.f64 (*.f64 z x) z) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(*.f64 z x) |
z |
x |
(+.f64 (*.f64 x y) #s(approx (* (- x 1) z) (neg.f64 z))) |
(fma.f64 y x #s(approx (* (- x 1) z) (neg.f64 z))) |
(*.f64 x y) |
(*.f64 y x) |
x |
y |
#s(approx (* (- x 1) z) (neg.f64 z)) |
(neg.f64 z) |
z |
Found 11 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (*.f64 x y) | |
| accuracy | 0 | (neg.f64 z) | |
| accuracy | 1.9999917433208234 | (+.f64 (*.f64 x y) #s(approx (* (- x 1) z) (neg.f64 z))) | |
| accuracy | 27.56493979387876 | #s(approx (* (- x 1) z) (neg.f64 z)) | |
| accuracy | 0 | (*.f64 z x) | |
| accuracy | 0.00390625 | (-.f64 (*.f64 z x) z) | |
| accuracy | 26.85494243011961 | #s(approx (+ (* x y) (* (- x 1) z)) (-.f64 (*.f64 z x) z)) | |
| accuracy | 0 | (*.f64 z x) | |
| accuracy | 26.85494243011961 | #s(approx (+ (* x y) (* (- x 1) z)) #s(approx (* (- x 1) z) (*.f64 z x))) | |
| accuracy | 34.833615646861475 | #s(approx (* (- x 1) z) (*.f64 z x)) | |
| accuracy | 62.28581242131557 | #s(approx (+ (* x y) (* (- x 1) z)) z) |
| 45.0ms | 256× | 0 | valid |
Compiled 72 to 13 computations (81.9% saved)
ival-mult: 6.0ms (50% of total)ival-sub: 3.0ms (25% of total)ival-add: 1.0ms (8.3% of total)ival-neg: 1.0ms (8.3% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt #s(approx (+ (* x y) (* (- x 1) z)) z) (patch #s(approx (+ (* x y) (* (- x 1) z)) z) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* x y) (* (- x 1) z)) #s(approx (* (- x 1) z) (*.f64 z x))) (patch #s(approx (+ (* x y) (* (- x 1) z)) #s(approx (* (- x 1) z) (*.f64 z x))) #<representation binary64>) () ()) |
#s(alt #s(approx (* (- x 1) z) (*.f64 z x)) (patch #s(approx (* (- x 1) z) (*.f64 z x)) #<representation binary64>) () ()) |
#s(alt (*.f64 z x) (patch (*.f64 z x) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* x y) (* (- x 1) z)) (-.f64 (*.f64 z x) z)) (patch #s(approx (+ (* x y) (* (- x 1) z)) (-.f64 (*.f64 z x) z)) #<representation binary64>) () ()) |
#s(alt (-.f64 (*.f64 z x) z) (patch (-.f64 (*.f64 z x) z) #<representation binary64>) () ()) |
#s(alt (+.f64 (*.f64 x y) #s(approx (* (- x 1) z) (neg.f64 z))) (patch (+.f64 (*.f64 x y) #s(approx (* (- x 1) z) (neg.f64 z))) #<representation binary64>) () ()) |
#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ()) |
#s(alt #s(approx (* (- x 1) z) (neg.f64 z)) (patch #s(approx (* (- x 1) z) (neg.f64 z)) #<representation binary64>) () ()) |
#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* x y) (taylor 0 z) (#s(alt #s(approx (+ (* x y) (* (- x 1) z)) z) (patch #s(approx (+ (* x y) (* (- x 1) z)) z) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x y) (* z (- x 1))) (taylor 0 z) (#s(alt #s(approx (+ (* x y) (* (- x 1) z)) z) (patch #s(approx (+ (* x y) (* (- x 1) z)) z) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x y) (* z (- x 1))) (taylor 0 z) (#s(alt #s(approx (+ (* x y) (* (- x 1) z)) z) (patch #s(approx (+ (* x y) (* (- x 1) z)) z) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x y) (* z (- x 1))) (taylor 0 z) (#s(alt #s(approx (+ (* x y) (* (- x 1) z)) z) (patch #s(approx (+ (* x y) (* (- x 1) z)) z) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 z) (#s(alt #s(approx (+ (* x y) (* (- x 1) z)) #s(approx (* (- x 1) z) (*.f64 z x))) (patch #s(approx (+ (* x y) (* (- x 1) z)) #s(approx (* (- x 1) z) (*.f64 z x))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x y) (* z (- x 1))) (taylor 0 z) (#s(alt #s(approx (+ (* x y) (* (- x 1) z)) #s(approx (* (- x 1) z) (*.f64 z x))) (patch #s(approx (+ (* x y) (* (- x 1) z)) #s(approx (* (- x 1) z) (*.f64 z x))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x y) (* z (- x 1))) (taylor 0 z) (#s(alt #s(approx (+ (* x y) (* (- x 1) z)) #s(approx (* (- x 1) z) (*.f64 z x))) (patch #s(approx (+ (* x y) (* (- x 1) z)) #s(approx (* (- x 1) z) (*.f64 z x))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x y) (* z (- x 1))) (taylor 0 z) (#s(alt #s(approx (+ (* x y) (* (- x 1) z)) #s(approx (* (- x 1) z) (*.f64 z x))) (patch #s(approx (+ (* x y) (* (- x 1) z)) #s(approx (* (- x 1) z) (*.f64 z x))) #<representation binary64>) () ())) ()) |
#s(alt (* z (- x 1)) (taylor 0 z) (#s(alt #s(approx (* (- x 1) z) (*.f64 z x)) (patch #s(approx (* (- x 1) z) (*.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (* z (- x 1)) (taylor 0 z) (#s(alt #s(approx (* (- x 1) z) (*.f64 z x)) (patch #s(approx (* (- x 1) z) (*.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (* z (- x 1)) (taylor 0 z) (#s(alt #s(approx (* (- x 1) z) (*.f64 z x)) (patch #s(approx (* (- x 1) z) (*.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (* z (- x 1)) (taylor 0 z) (#s(alt #s(approx (* (- x 1) z) (*.f64 z x)) (patch #s(approx (* (- x 1) 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 (* x y) (taylor 0 z) (#s(alt #s(approx (+ (* x y) (* (- x 1) z)) (-.f64 (*.f64 z x) z)) (patch #s(approx (+ (* x y) (* (- x 1) z)) (-.f64 (*.f64 z x) z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x y) (* z (- x 1))) (taylor 0 z) (#s(alt #s(approx (+ (* x y) (* (- x 1) z)) (-.f64 (*.f64 z x) z)) (patch #s(approx (+ (* x y) (* (- x 1) z)) (-.f64 (*.f64 z x) z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x y) (* z (- x 1))) (taylor 0 z) (#s(alt #s(approx (+ (* x y) (* (- x 1) z)) (-.f64 (*.f64 z x) z)) (patch #s(approx (+ (* x y) (* (- x 1) z)) (-.f64 (*.f64 z x) z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x y) (* z (- x 1))) (taylor 0 z) (#s(alt #s(approx (+ (* x y) (* (- x 1) z)) (-.f64 (*.f64 z x) z)) (patch #s(approx (+ (* x y) (* (- x 1) z)) (-.f64 (*.f64 z x) z)) #<representation binary64>) () ())) ()) |
#s(alt (* z (- x 1)) (taylor 0 z) (#s(alt (-.f64 (*.f64 z x) z) (patch (-.f64 (*.f64 z x) z) #<representation binary64>) () ())) ()) |
#s(alt (* z (- x 1)) (taylor 0 z) (#s(alt (-.f64 (*.f64 z x) z) (patch (-.f64 (*.f64 z x) z) #<representation binary64>) () ())) ()) |
#s(alt (* z (- x 1)) (taylor 0 z) (#s(alt (-.f64 (*.f64 z x) z) (patch (-.f64 (*.f64 z x) z) #<representation binary64>) () ())) ()) |
#s(alt (* z (- x 1)) (taylor 0 z) (#s(alt (-.f64 (*.f64 z x) z) (patch (-.f64 (*.f64 z x) z) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 z) (#s(alt (+.f64 (*.f64 x y) #s(approx (* (- x 1) z) (neg.f64 z))) (patch (+.f64 (*.f64 x y) #s(approx (* (- x 1) z) (neg.f64 z))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x y) (* z (- x 1))) (taylor 0 z) (#s(alt (+.f64 (*.f64 x y) #s(approx (* (- x 1) z) (neg.f64 z))) (patch (+.f64 (*.f64 x y) #s(approx (* (- x 1) z) (neg.f64 z))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x y) (* z (- x 1))) (taylor 0 z) (#s(alt (+.f64 (*.f64 x y) #s(approx (* (- x 1) z) (neg.f64 z))) (patch (+.f64 (*.f64 x y) #s(approx (* (- x 1) z) (neg.f64 z))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x y) (* z (- x 1))) (taylor 0 z) (#s(alt (+.f64 (*.f64 x y) #s(approx (* (- x 1) z) (neg.f64 z))) (patch (+.f64 (*.f64 x y) #s(approx (* (- x 1) z) (neg.f64 z))) #<representation binary64>) () ())) ()) |
#s(alt (* z (- x 1)) (taylor 0 z) (#s(alt #s(approx (* (- x 1) z) (neg.f64 z)) (patch #s(approx (* (- x 1) z) (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (* z (- x 1)) (taylor 0 z) (#s(alt #s(approx (* (- x 1) z) (neg.f64 z)) (patch #s(approx (* (- x 1) z) (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (* z (- x 1)) (taylor 0 z) (#s(alt #s(approx (* (- x 1) z) (neg.f64 z)) (patch #s(approx (* (- x 1) z) (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (* z (- x 1)) (taylor 0 z) (#s(alt #s(approx (* (- x 1) z) (neg.f64 z)) (patch #s(approx (* (- x 1) z) (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ()) |
#s(alt (* z (- x 1)) (taylor inf z) (#s(alt #s(approx (+ (* x y) (* (- x 1) z)) z) (patch #s(approx (+ (* x y) (* (- x 1) z)) z) #<representation binary64>) () ())) ()) |
#s(alt (* z (- (+ x (/ (* x y) z)) 1)) (taylor inf z) (#s(alt #s(approx (+ (* x y) (* (- x 1) z)) z) (patch #s(approx (+ (* x y) (* (- x 1) z)) z) #<representation binary64>) () ())) ()) |
#s(alt (* z (- (+ x (/ (* x y) z)) 1)) (taylor inf z) (#s(alt #s(approx (+ (* x y) (* (- x 1) z)) z) (patch #s(approx (+ (* x y) (* (- x 1) z)) z) #<representation binary64>) () ())) ()) |
#s(alt (* z (- (+ x (/ (* x y) z)) 1)) (taylor inf z) (#s(alt #s(approx (+ (* x y) (* (- x 1) z)) z) (patch #s(approx (+ (* x y) (* (- x 1) z)) z) #<representation binary64>) () ())) ()) |
#s(alt (* z (- x 1)) (taylor inf z) (#s(alt #s(approx (+ (* x y) (* (- x 1) z)) #s(approx (* (- x 1) z) (*.f64 z x))) (patch #s(approx (+ (* x y) (* (- x 1) z)) #s(approx (* (- x 1) z) (*.f64 z x))) #<representation binary64>) () ())) ()) |
#s(alt (* z (- (+ x (/ (* x y) z)) 1)) (taylor inf z) (#s(alt #s(approx (+ (* x y) (* (- x 1) z)) #s(approx (* (- x 1) z) (*.f64 z x))) (patch #s(approx (+ (* x y) (* (- x 1) z)) #s(approx (* (- x 1) z) (*.f64 z x))) #<representation binary64>) () ())) ()) |
#s(alt (* z (- (+ x (/ (* x y) z)) 1)) (taylor inf z) (#s(alt #s(approx (+ (* x y) (* (- x 1) z)) #s(approx (* (- x 1) z) (*.f64 z x))) (patch #s(approx (+ (* x y) (* (- x 1) z)) #s(approx (* (- x 1) z) (*.f64 z x))) #<representation binary64>) () ())) ()) |
#s(alt (* z (- (+ x (/ (* x y) z)) 1)) (taylor inf z) (#s(alt #s(approx (+ (* x y) (* (- x 1) z)) #s(approx (* (- x 1) z) (*.f64 z x))) (patch #s(approx (+ (* x y) (* (- x 1) z)) #s(approx (* (- x 1) z) (*.f64 z x))) #<representation binary64>) () ())) ()) |
#s(alt (* z (- x 1)) (taylor inf z) (#s(alt #s(approx (* (- x 1) z) (*.f64 z x)) (patch #s(approx (* (- x 1) z) (*.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (* z (- x 1)) (taylor inf z) (#s(alt #s(approx (* (- x 1) z) (*.f64 z x)) (patch #s(approx (* (- x 1) z) (*.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (* z (- x 1)) (taylor inf z) (#s(alt #s(approx (* (- x 1) z) (*.f64 z x)) (patch #s(approx (* (- x 1) z) (*.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (* z (- x 1)) (taylor inf z) (#s(alt #s(approx (* (- x 1) z) (*.f64 z x)) (patch #s(approx (* (- x 1) z) (*.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (* x z) (taylor inf z) (#s(alt (*.f64 z x) (patch (*.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (* x z) (taylor inf z) (#s(alt (*.f64 z x) (patch (*.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (* x z) (taylor inf z) (#s(alt (*.f64 z x) (patch (*.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (* x z) (taylor inf z) (#s(alt (*.f64 z x) (patch (*.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (* z (- x 1)) (taylor inf z) (#s(alt #s(approx (+ (* x y) (* (- x 1) z)) (-.f64 (*.f64 z x) z)) (patch #s(approx (+ (* x y) (* (- x 1) z)) (-.f64 (*.f64 z x) z)) #<representation binary64>) () ())) ()) |
#s(alt (* z (- (+ x (/ (* x y) z)) 1)) (taylor inf z) (#s(alt #s(approx (+ (* x y) (* (- x 1) z)) (-.f64 (*.f64 z x) z)) (patch #s(approx (+ (* x y) (* (- x 1) z)) (-.f64 (*.f64 z x) z)) #<representation binary64>) () ())) ()) |
#s(alt (* z (- (+ x (/ (* x y) z)) 1)) (taylor inf z) (#s(alt #s(approx (+ (* x y) (* (- x 1) z)) (-.f64 (*.f64 z x) z)) (patch #s(approx (+ (* x y) (* (- x 1) z)) (-.f64 (*.f64 z x) z)) #<representation binary64>) () ())) ()) |
#s(alt (* z (- (+ x (/ (* x y) z)) 1)) (taylor inf z) (#s(alt #s(approx (+ (* x y) (* (- x 1) z)) (-.f64 (*.f64 z x) z)) (patch #s(approx (+ (* x y) (* (- x 1) z)) (-.f64 (*.f64 z x) z)) #<representation binary64>) () ())) ()) |
#s(alt (* z (- x 1)) (taylor inf z) (#s(alt (-.f64 (*.f64 z x) z) (patch (-.f64 (*.f64 z x) z) #<representation binary64>) () ())) ()) |
#s(alt (* z (- x 1)) (taylor inf z) (#s(alt (-.f64 (*.f64 z x) z) (patch (-.f64 (*.f64 z x) z) #<representation binary64>) () ())) ()) |
#s(alt (* z (- x 1)) (taylor inf z) (#s(alt (-.f64 (*.f64 z x) z) (patch (-.f64 (*.f64 z x) z) #<representation binary64>) () ())) ()) |
#s(alt (* z (- x 1)) (taylor inf z) (#s(alt (-.f64 (*.f64 z x) z) (patch (-.f64 (*.f64 z x) z) #<representation binary64>) () ())) ()) |
#s(alt (* z (- x 1)) (taylor inf z) (#s(alt (+.f64 (*.f64 x y) #s(approx (* (- x 1) z) (neg.f64 z))) (patch (+.f64 (*.f64 x y) #s(approx (* (- x 1) z) (neg.f64 z))) #<representation binary64>) () ())) ()) |
#s(alt (* z (- (+ x (/ (* x y) z)) 1)) (taylor inf z) (#s(alt (+.f64 (*.f64 x y) #s(approx (* (- x 1) z) (neg.f64 z))) (patch (+.f64 (*.f64 x y) #s(approx (* (- x 1) z) (neg.f64 z))) #<representation binary64>) () ())) ()) |
#s(alt (* z (- (+ x (/ (* x y) z)) 1)) (taylor inf z) (#s(alt (+.f64 (*.f64 x y) #s(approx (* (- x 1) z) (neg.f64 z))) (patch (+.f64 (*.f64 x y) #s(approx (* (- x 1) z) (neg.f64 z))) #<representation binary64>) () ())) ()) |
#s(alt (* z (- (+ x (/ (* x y) z)) 1)) (taylor inf z) (#s(alt (+.f64 (*.f64 x y) #s(approx (* (- x 1) z) (neg.f64 z))) (patch (+.f64 (*.f64 x y) #s(approx (* (- x 1) z) (neg.f64 z))) #<representation binary64>) () ())) ()) |
#s(alt (* z (- x 1)) (taylor inf z) (#s(alt #s(approx (* (- x 1) z) (neg.f64 z)) (patch #s(approx (* (- x 1) z) (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (* z (- x 1)) (taylor inf z) (#s(alt #s(approx (* (- x 1) z) (neg.f64 z)) (patch #s(approx (* (- x 1) z) (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (* z (- x 1)) (taylor inf z) (#s(alt #s(approx (* (- x 1) z) (neg.f64 z)) (patch #s(approx (* (- x 1) z) (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (* z (- x 1)) (taylor inf z) (#s(alt #s(approx (* (- x 1) z) (neg.f64 z)) (patch #s(approx (* (- x 1) z) (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor inf z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor inf z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor inf z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor inf z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ()) |
#s(alt (* z (- x 1)) (taylor -inf z) (#s(alt #s(approx (+ (* x y) (* (- x 1) z)) z) (patch #s(approx (+ (* x y) (* (- x 1) z)) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ (* -1 (- x 1)) (* -1 (/ (* x y) z))))) (taylor -inf z) (#s(alt #s(approx (+ (* x y) (* (- x 1) z)) z) (patch #s(approx (+ (* x y) (* (- x 1) z)) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ (* -1 (- x 1)) (* -1 (/ (* x y) z))))) (taylor -inf z) (#s(alt #s(approx (+ (* x y) (* (- x 1) z)) z) (patch #s(approx (+ (* x y) (* (- x 1) z)) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ (* -1 (- x 1)) (* -1 (/ (* x y) z))))) (taylor -inf z) (#s(alt #s(approx (+ (* x y) (* (- x 1) z)) z) (patch #s(approx (+ (* x y) (* (- x 1) z)) z) #<representation binary64>) () ())) ()) |
#s(alt (* z (- x 1)) (taylor -inf z) (#s(alt #s(approx (+ (* x y) (* (- x 1) z)) #s(approx (* (- x 1) z) (*.f64 z x))) (patch #s(approx (+ (* x y) (* (- x 1) z)) #s(approx (* (- x 1) z) (*.f64 z x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ (* -1 (- x 1)) (* -1 (/ (* x y) z))))) (taylor -inf z) (#s(alt #s(approx (+ (* x y) (* (- x 1) z)) #s(approx (* (- x 1) z) (*.f64 z x))) (patch #s(approx (+ (* x y) (* (- x 1) z)) #s(approx (* (- x 1) z) (*.f64 z x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ (* -1 (- x 1)) (* -1 (/ (* x y) z))))) (taylor -inf z) (#s(alt #s(approx (+ (* x y) (* (- x 1) z)) #s(approx (* (- x 1) z) (*.f64 z x))) (patch #s(approx (+ (* x y) (* (- x 1) z)) #s(approx (* (- x 1) z) (*.f64 z x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ (* -1 (- x 1)) (* -1 (/ (* x y) z))))) (taylor -inf z) (#s(alt #s(approx (+ (* x y) (* (- x 1) z)) #s(approx (* (- x 1) z) (*.f64 z x))) (patch #s(approx (+ (* x y) (* (- x 1) z)) #s(approx (* (- x 1) z) (*.f64 z x))) #<representation binary64>) () ())) ()) |
#s(alt (* z (- x 1)) (taylor -inf z) (#s(alt #s(approx (* (- x 1) z) (*.f64 z x)) (patch #s(approx (* (- x 1) z) (*.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (* z (- x 1)) (taylor -inf z) (#s(alt #s(approx (* (- x 1) z) (*.f64 z x)) (patch #s(approx (* (- x 1) z) (*.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (* z (- x 1)) (taylor -inf z) (#s(alt #s(approx (* (- x 1) z) (*.f64 z x)) (patch #s(approx (* (- x 1) z) (*.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (* z (- x 1)) (taylor -inf z) (#s(alt #s(approx (* (- x 1) z) (*.f64 z x)) (patch #s(approx (* (- x 1) z) (*.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (* x z) (taylor -inf z) (#s(alt (*.f64 z x) (patch (*.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (* x z) (taylor -inf z) (#s(alt (*.f64 z x) (patch (*.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (* x z) (taylor -inf z) (#s(alt (*.f64 z x) (patch (*.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (* x z) (taylor -inf z) (#s(alt (*.f64 z x) (patch (*.f64 z x) #<representation binary64>) () ())) ()) |
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#s(alt (+ (* -1 z) (* x (+ y z))) (taylor 0 x) (#s(alt (+.f64 (*.f64 x y) #s(approx (* (- x 1) z) (neg.f64 z))) (patch (+.f64 (*.f64 x y) #s(approx (* (- x 1) z) (neg.f64 z))) #<representation binary64>) () ())) ()) |
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#s(alt (+ (* -1 z) (* x z)) (taylor 0 x) (#s(alt #s(approx (* (- x 1) z) (neg.f64 z)) (patch #s(approx (* (- x 1) z) (neg.f64 z)) #<representation binary64>) () ())) ()) |
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#s(alt (* x (+ y (+ z (* -1 (/ z x))))) (taylor inf x) (#s(alt #s(approx (+ (* x y) (* (- x 1) z)) z) (patch #s(approx (+ (* x y) (* (- x 1) z)) z) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ y (+ z (* -1 (/ z x))))) (taylor inf x) (#s(alt #s(approx (+ (* x y) (* (- x 1) z)) z) (patch #s(approx (+ (* x y) (* (- x 1) z)) z) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ y z)) (taylor inf x) (#s(alt #s(approx (+ (* x y) (* (- x 1) z)) #s(approx (* (- x 1) z) (*.f64 z x))) (patch #s(approx (+ (* x y) (* (- x 1) z)) #s(approx (* (- x 1) z) (*.f64 z x))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ y (+ z (* -1 (/ z x))))) (taylor inf x) (#s(alt #s(approx (+ (* x y) (* (- x 1) z)) #s(approx (* (- x 1) z) (*.f64 z x))) (patch #s(approx (+ (* x y) (* (- x 1) z)) #s(approx (* (- x 1) z) (*.f64 z x))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ y (+ z (* -1 (/ z x))))) (taylor inf x) (#s(alt #s(approx (+ (* x y) (* (- x 1) z)) #s(approx (* (- x 1) z) (*.f64 z x))) (patch #s(approx (+ (* x y) (* (- x 1) z)) #s(approx (* (- x 1) z) (*.f64 z x))) #<representation binary64>) () ())) ()) |
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#s(alt (* x (+ z (* -1 (/ z x)))) (taylor inf x) (#s(alt #s(approx (* (- x 1) z) (*.f64 z x)) (patch #s(approx (* (- x 1) z) (*.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ z (* -1 (/ z x)))) (taylor inf x) (#s(alt #s(approx (* (- x 1) z) (*.f64 z x)) (patch #s(approx (* (- x 1) z) (*.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ z (* -1 (/ z x)))) (taylor inf x) (#s(alt #s(approx (* (- x 1) z) (*.f64 z x)) (patch #s(approx (* (- x 1) z) (*.f64 z x)) #<representation binary64>) () ())) ()) |
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#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 (+ y z)) (taylor inf x) (#s(alt #s(approx (+ (* x y) (* (- x 1) z)) (-.f64 (*.f64 z x) z)) (patch #s(approx (+ (* x y) (* (- x 1) z)) (-.f64 (*.f64 z x) z)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ y (+ z (* -1 (/ z x))))) (taylor inf x) (#s(alt #s(approx (+ (* x y) (* (- x 1) z)) (-.f64 (*.f64 z x) z)) (patch #s(approx (+ (* x y) (* (- x 1) z)) (-.f64 (*.f64 z x) z)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ y (+ z (* -1 (/ z x))))) (taylor inf x) (#s(alt #s(approx (+ (* x y) (* (- x 1) z)) (-.f64 (*.f64 z x) z)) (patch #s(approx (+ (* x y) (* (- x 1) z)) (-.f64 (*.f64 z x) z)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ y (+ z (* -1 (/ z x))))) (taylor inf x) (#s(alt #s(approx (+ (* x y) (* (- x 1) z)) (-.f64 (*.f64 z x) z)) (patch #s(approx (+ (* x y) (* (- x 1) z)) (-.f64 (*.f64 z x) z)) #<representation binary64>) () ())) ()) |
#s(alt (* x z) (taylor inf x) (#s(alt (-.f64 (*.f64 z x) z) (patch (-.f64 (*.f64 z x) z) #<representation binary64>) () ())) ()) |
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#s(alt (* x (+ y (+ z (* -1 (/ z x))))) (taylor inf x) (#s(alt (+.f64 (*.f64 x y) #s(approx (* (- x 1) z) (neg.f64 z))) (patch (+.f64 (*.f64 x y) #s(approx (* (- x 1) z) (neg.f64 z))) #<representation binary64>) () ())) ()) |
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#s(alt (* x (+ y (+ z (* -1 (/ z x))))) (taylor inf x) (#s(alt (+.f64 (*.f64 x y) #s(approx (* (- x 1) z) (neg.f64 z))) (patch (+.f64 (*.f64 x y) #s(approx (* (- x 1) z) (neg.f64 z))) #<representation binary64>) () ())) ()) |
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#s(alt (* x y) (taylor inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x z) (taylor inf x) (#s(alt #s(approx (* (- x 1) z) (neg.f64 z)) (patch #s(approx (* (- x 1) z) (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ z (* -1 (/ z x)))) (taylor inf x) (#s(alt #s(approx (* (- x 1) z) (neg.f64 z)) (patch #s(approx (* (- x 1) z) (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ z (* -1 (/ z x)))) (taylor inf x) (#s(alt #s(approx (* (- x 1) z) (neg.f64 z)) (patch #s(approx (* (- x 1) z) (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ z (* -1 (/ z x)))) (taylor inf x) (#s(alt #s(approx (* (- x 1) z) (neg.f64 z)) (patch #s(approx (* (- x 1) z) (neg.f64 z)) #<representation binary64>) () ())) ()) |
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#s(alt (* x z) (taylor -inf x) (#s(alt #s(approx (* (- x 1) z) (*.f64 z x)) (patch #s(approx (* (- x 1) z) (*.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 z) (/ z x)))) (taylor -inf x) (#s(alt #s(approx (* (- x 1) z) (*.f64 z x)) (patch #s(approx (* (- x 1) z) (*.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 z) (/ z x)))) (taylor -inf x) (#s(alt #s(approx (* (- x 1) z) (*.f64 z x)) (patch #s(approx (* (- x 1) z) (*.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 z) (/ z x)))) (taylor -inf x) (#s(alt #s(approx (* (- x 1) z) (*.f64 z x)) (patch #s(approx (* (- x 1) z) (*.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (* x z) (taylor -inf x) (#s(alt (*.f64 z x) (patch (*.f64 z x) #<representation binary64>) () ())) ()) |
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#s(alt (* x z) (taylor -inf x) (#s(alt (-.f64 (*.f64 z x) z) (patch (-.f64 (*.f64 z x) z) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x))))) (taylor -inf x) (#s(alt (+.f64 (*.f64 x y) #s(approx (* (- x 1) z) (neg.f64 z))) (patch (+.f64 (*.f64 x y) #s(approx (* (- x 1) z) (neg.f64 z))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x))))) (taylor -inf x) (#s(alt (+.f64 (*.f64 x y) #s(approx (* (- x 1) z) (neg.f64 z))) (patch (+.f64 (*.f64 x y) #s(approx (* (- x 1) z) (neg.f64 z))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x))))) (taylor -inf x) (#s(alt (+.f64 (*.f64 x y) #s(approx (* (- x 1) z) (neg.f64 z))) (patch (+.f64 (*.f64 x y) #s(approx (* (- x 1) z) (neg.f64 z))) #<representation binary64>) () ())) ()) |
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#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x z) (taylor -inf x) (#s(alt #s(approx (* (- x 1) z) (neg.f64 z)) (patch #s(approx (* (- x 1) z) (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 z) (/ z x)))) (taylor -inf x) (#s(alt #s(approx (* (- x 1) z) (neg.f64 z)) (patch #s(approx (* (- x 1) z) (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 z) (/ z x)))) (taylor -inf x) (#s(alt #s(approx (* (- x 1) z) (neg.f64 z)) (patch #s(approx (* (- x 1) z) (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 z) (/ z x)))) (taylor -inf x) (#s(alt #s(approx (* (- x 1) z) (neg.f64 z)) (patch #s(approx (* (- x 1) z) (neg.f64 z)) #<representation binary64>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | ((+ (* x y) (* (- x 1) z)) (+ (* x y) (* (- x 1) z)) (* (- x 1) z) (* z x) (+ (* x y) (* (- x 1) z)) (- (* z x) z) (+ (* x y) (* (- x 1) z)) (* x y) (* (- x 1) z) (neg z)) |
| 1.0ms | z | @ | -inf | ((+ (* x y) (* (- x 1) z)) (+ (* x y) (* (- x 1) z)) (* (- x 1) z) (* z x) (+ (* x y) (* (- x 1) z)) (- (* z x) z) (+ (* x y) (* (- x 1) z)) (* x y) (* (- x 1) z) (neg z)) |
| 1.0ms | z | @ | inf | ((+ (* x y) (* (- x 1) z)) (+ (* x y) (* (- x 1) z)) (* (- x 1) z) (* z x) (+ (* x y) (* (- x 1) z)) (- (* z x) z) (+ (* x y) (* (- x 1) z)) (* x y) (* (- x 1) z) (neg z)) |
| 1.0ms | x | @ | inf | ((+ (* x y) (* (- x 1) z)) (+ (* x y) (* (- x 1) z)) (* (- x 1) z) (* z x) (+ (* x y) (* (- x 1) z)) (- (* z x) z) (+ (* x y) (* (- x 1) z)) (* x y) (* (- x 1) z) (neg z)) |
| 1.0ms | x | @ | 0 | ((+ (* x y) (* (- x 1) z)) (+ (* x y) (* (- x 1) z)) (* (- x 1) z) (* z x) (+ (* x y) (* (- x 1) z)) (- (* z x) z) (+ (* x y) (* (- x 1) z)) (* x y) (* (- x 1) z) (neg z)) |
| 1× | egg-herbie |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 52 | 1623 |
| 1 | 182 | 1407 |
| 2 | 528 | 1407 |
| 3 | 1504 | 1407 |
| 4 | 3920 | 1407 |
| 5 | 5878 | 1407 |
| 6 | 7834 | 1407 |
| 0 | 8029 | 1407 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* x y) |
(+ (* x y) (* z (- x 1))) |
(+ (* x y) (* z (- x 1))) |
(+ (* x y) (* z (- x 1))) |
(* x y) |
(+ (* x y) (* z (- x 1))) |
(+ (* x y) (* z (- x 1))) |
(+ (* x y) (* z (- x 1))) |
(* z (- x 1)) |
(* z (- x 1)) |
(* z (- x 1)) |
(* z (- x 1)) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x y) |
(+ (* x y) (* z (- x 1))) |
(+ (* x y) (* z (- x 1))) |
(+ (* x y) (* z (- x 1))) |
(* z (- x 1)) |
(* z (- x 1)) |
(* z (- x 1)) |
(* z (- x 1)) |
(* x y) |
(+ (* x y) (* z (- x 1))) |
(+ (* x y) (* z (- x 1))) |
(+ (* x y) (* z (- x 1))) |
(* z (- x 1)) |
(* z (- x 1)) |
(* z (- x 1)) |
(* z (- x 1)) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* z (- x 1)) |
(* z (- (+ x (/ (* x y) z)) 1)) |
(* z (- (+ x (/ (* x y) z)) 1)) |
(* z (- (+ x (/ (* x y) z)) 1)) |
(* z (- x 1)) |
(* z (- (+ x (/ (* x y) z)) 1)) |
(* z (- (+ x (/ (* x y) z)) 1)) |
(* z (- (+ x (/ (* x y) z)) 1)) |
(* z (- x 1)) |
(* z (- x 1)) |
(* z (- x 1)) |
(* z (- x 1)) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* z (- x 1)) |
(* z (- (+ x (/ (* x y) z)) 1)) |
(* z (- (+ x (/ (* x y) z)) 1)) |
(* z (- (+ x (/ (* x y) z)) 1)) |
(* z (- x 1)) |
(* z (- x 1)) |
(* z (- x 1)) |
(* z (- x 1)) |
(* z (- x 1)) |
(* z (- (+ x (/ (* x y) z)) 1)) |
(* z (- (+ x (/ (* x y) z)) 1)) |
(* z (- (+ x (/ (* x y) z)) 1)) |
(* z (- x 1)) |
(* z (- x 1)) |
(* z (- x 1)) |
(* z (- x 1)) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* z (- x 1)) |
(* -1 (* z (+ (* -1 (- x 1)) (* -1 (/ (* x y) z))))) |
(* -1 (* z (+ (* -1 (- x 1)) (* -1 (/ (* x y) z))))) |
(* -1 (* z (+ (* -1 (- x 1)) (* -1 (/ (* x y) z))))) |
(* z (- x 1)) |
(* -1 (* z (+ (* -1 (- x 1)) (* -1 (/ (* x y) z))))) |
(* -1 (* z (+ (* -1 (- x 1)) (* -1 (/ (* x y) z))))) |
(* -1 (* z (+ (* -1 (- x 1)) (* -1 (/ (* x y) z))))) |
(* z (- x 1)) |
(* z (- x 1)) |
(* z (- x 1)) |
(* z (- x 1)) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* z (- x 1)) |
(* -1 (* z (+ (* -1 (- x 1)) (* -1 (/ (* x y) z))))) |
(* -1 (* z (+ (* -1 (- x 1)) (* -1 (/ (* x y) z))))) |
(* -1 (* z (+ (* -1 (- x 1)) (* -1 (/ (* x y) z))))) |
(* -1 (* z (+ 1 (* -1 x)))) |
(* -1 (* z (+ 1 (* -1 x)))) |
(* -1 (* z (+ 1 (* -1 x)))) |
(* -1 (* z (+ 1 (* -1 x)))) |
(* z (- x 1)) |
(* -1 (* z (+ (* -1 (- x 1)) (* -1 (/ (* x y) z))))) |
(* -1 (* z (+ (* -1 (- x 1)) (* -1 (/ (* x y) z))))) |
(* -1 (* z (+ (* -1 (- x 1)) (* -1 (/ (* x y) z))))) |
(* z (- x 1)) |
(* z (- x 1)) |
(* z (- x 1)) |
(* z (- x 1)) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* z (- x 1)) |
(+ (* x y) (* z (- x 1))) |
(+ (* x y) (* z (- x 1))) |
(+ (* x y) (* z (- x 1))) |
(* z (- x 1)) |
(+ (* x y) (* z (- x 1))) |
(+ (* x y) (* z (- x 1))) |
(+ (* x y) (* z (- x 1))) |
(* z (- x 1)) |
(+ (* x y) (* z (- x 1))) |
(+ (* x y) (* z (- x 1))) |
(+ (* x y) (* z (- x 1))) |
(* z (- x 1)) |
(+ (* x y) (* z (- x 1))) |
(+ (* x y) (* z (- x 1))) |
(+ (* x y) (* z (- x 1))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* y (+ x (/ (* z (- x 1)) y))) |
(* y (+ x (/ (* z (- x 1)) y))) |
(* y (+ x (/ (* z (- x 1)) y))) |
(* x y) |
(* y (+ x (/ (* z (- x 1)) y))) |
(* y (+ x (/ (* z (- x 1)) y))) |
(* y (+ x (/ (* z (- x 1)) y))) |
(* x y) |
(* y (+ x (/ (* z (- x 1)) y))) |
(* y (+ x (/ (* z (- x 1)) y))) |
(* y (+ x (/ (* z (- x 1)) y))) |
(* x y) |
(* y (+ x (/ (* z (- x 1)) y))) |
(* y (+ x (/ (* z (- x 1)) y))) |
(* y (+ x (/ (* z (- x 1)) y))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- x 1)) y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- x 1)) y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- x 1)) y))))) |
(* x y) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- x 1)) y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- x 1)) y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- x 1)) y))))) |
(* x y) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- x 1)) y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- x 1)) y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- x 1)) y))))) |
(* x y) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- x 1)) y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- x 1)) y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- x 1)) y))))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* -1 z) |
(+ (* -1 z) (* x (+ y z))) |
(+ (* -1 z) (* x (+ y z))) |
(+ (* -1 z) (* x (+ y z))) |
(* -1 z) |
(+ (* -1 z) (* x (+ y z))) |
(+ (* -1 z) (* x (+ y z))) |
(+ (* -1 z) (* x (+ y z))) |
(* -1 z) |
(+ (* -1 z) (* x z)) |
(+ (* -1 z) (* x z)) |
(+ (* -1 z) (* x z)) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* -1 z) |
(+ (* -1 z) (* x (+ y z))) |
(+ (* -1 z) (* x (+ y z))) |
(+ (* -1 z) (* x (+ y z))) |
(* -1 z) |
(- (* x z) z) |
(- (* x z) z) |
(- (* x z) z) |
(* -1 z) |
(+ (* -1 z) (* x (+ y z))) |
(+ (* -1 z) (* x (+ y z))) |
(+ (* -1 z) (* x (+ y z))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* -1 z) |
(+ (* -1 z) (* x z)) |
(+ (* -1 z) (* x z)) |
(+ (* -1 z) (* x z)) |
(* x (+ y z)) |
(* x (+ y (+ z (* -1 (/ z x))))) |
(* x (+ y (+ z (* -1 (/ z x))))) |
(* x (+ y (+ z (* -1 (/ z x))))) |
(* x (+ y z)) |
(* x (+ y (+ z (* -1 (/ z x))))) |
(* x (+ y (+ z (* -1 (/ z x))))) |
(* x (+ y (+ z (* -1 (/ z x))))) |
(* x z) |
(* x (+ z (* -1 (/ z x)))) |
(* x (+ z (* -1 (/ z x)))) |
(* x (+ z (* -1 (/ z x)))) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x (+ y z)) |
(* x (+ y (+ z (* -1 (/ z x))))) |
(* x (+ y (+ z (* -1 (/ z x))))) |
(* x (+ y (+ z (* -1 (/ z x))))) |
(* x z) |
(* x (+ z (* -1 (/ z x)))) |
(* x (+ z (* -1 (/ z x)))) |
(* x (+ z (* -1 (/ z x)))) |
(* x (+ y z)) |
(* x (+ y (+ z (* -1 (/ z x))))) |
(* x (+ y (+ z (* -1 (/ z x))))) |
(* x (+ y (+ z (* -1 (/ z x))))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x z) |
(* x (+ z (* -1 (/ z x)))) |
(* x (+ z (* -1 (/ z x)))) |
(* x (+ z (* -1 (/ z x)))) |
(* -1 (* x (+ (* -1 y) (* -1 z)))) |
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x))))) |
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x))))) |
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x))))) |
(* -1 (* x (+ (* -1 y) (* -1 z)))) |
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x))))) |
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x))))) |
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x))))) |
(* x z) |
(* -1 (* x (+ (* -1 z) (/ z x)))) |
(* -1 (* x (+ (* -1 z) (/ z x)))) |
(* -1 (* x (+ (* -1 z) (/ z x)))) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* -1 (* x (+ (* -1 y) (* -1 z)))) |
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x))))) |
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x))))) |
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x))))) |
(* x z) |
(* -1 (* x (+ (* -1 z) (/ z x)))) |
(* -1 (* x (+ (* -1 z) (/ z x)))) |
(* -1 (* x (+ (* -1 z) (/ z x)))) |
(* -1 (* x (+ (* -1 y) (* -1 z)))) |
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x))))) |
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x))))) |
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x))))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x z) |
(* -1 (* x (+ (* -1 z) (/ z x)))) |
(* -1 (* x (+ (* -1 z) (/ z x)))) |
(* -1 (* x (+ (* -1 z) (/ z x)))) |
| Outputs |
|---|
(* x y) |
(*.f64 y x) |
(+ (* x y) (* z (- x 1))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(+ (* x y) (* z (- x 1))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(+ (* x y) (* z (- x 1))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* x y) |
(*.f64 y x) |
(+ (* x y) (* z (- x 1))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(+ (* x y) (* z (- x 1))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(+ (* x y) (* z (- x 1))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* z (- x 1)) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(* z (- x 1)) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(* z (- x 1)) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(* z (- x 1)) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(* x z) |
(*.f64 z x) |
(* x z) |
(*.f64 z x) |
(* x z) |
(*.f64 z x) |
(* x z) |
(*.f64 z x) |
(* x y) |
(*.f64 y x) |
(+ (* x y) (* z (- x 1))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(+ (* x y) (* z (- x 1))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(+ (* x y) (* z (- x 1))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* z (- x 1)) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(* z (- x 1)) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(* z (- x 1)) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(* z (- x 1)) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(* x y) |
(*.f64 y x) |
(+ (* x y) (* z (- x 1))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(+ (* x y) (* z (- x 1))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(+ (* x y) (* z (- x 1))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* z (- x 1)) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(* z (- x 1)) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(* z (- x 1)) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(* z (- x 1)) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* z (- x 1)) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(* z (- (+ x (/ (* x y) z)) 1)) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* z (- (+ x (/ (* x y) z)) 1)) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* z (- (+ x (/ (* x y) z)) 1)) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* z (- x 1)) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(* z (- (+ x (/ (* x y) z)) 1)) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* z (- (+ x (/ (* x y) z)) 1)) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* z (- (+ x (/ (* x y) z)) 1)) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* z (- x 1)) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(* z (- x 1)) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(* z (- x 1)) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(* z (- x 1)) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(* x z) |
(*.f64 z x) |
(* x z) |
(*.f64 z x) |
(* x z) |
(*.f64 z x) |
(* x z) |
(*.f64 z x) |
(* z (- x 1)) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(* z (- (+ x (/ (* x y) z)) 1)) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* z (- (+ x (/ (* x y) z)) 1)) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* z (- (+ x (/ (* x y) z)) 1)) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* z (- x 1)) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(* z (- x 1)) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(* z (- x 1)) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(* z (- x 1)) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(* z (- x 1)) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(* z (- (+ x (/ (* x y) z)) 1)) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* z (- (+ x (/ (* x y) z)) 1)) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* z (- (+ x (/ (* x y) z)) 1)) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* z (- x 1)) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(* z (- x 1)) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(* z (- x 1)) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(* z (- x 1)) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* z (- x 1)) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(* -1 (* z (+ (* -1 (- x 1)) (* -1 (/ (* x y) z))))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* -1 (* z (+ (* -1 (- x 1)) (* -1 (/ (* x y) z))))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* -1 (* z (+ (* -1 (- x 1)) (* -1 (/ (* x y) z))))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* z (- x 1)) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(* -1 (* z (+ (* -1 (- x 1)) (* -1 (/ (* x y) z))))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* -1 (* z (+ (* -1 (- x 1)) (* -1 (/ (* x y) z))))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* -1 (* z (+ (* -1 (- x 1)) (* -1 (/ (* x y) z))))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* z (- x 1)) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(* z (- x 1)) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(* z (- x 1)) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(* z (- x 1)) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(* x z) |
(*.f64 z x) |
(* x z) |
(*.f64 z x) |
(* x z) |
(*.f64 z x) |
(* x z) |
(*.f64 z x) |
(* z (- x 1)) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(* -1 (* z (+ (* -1 (- x 1)) (* -1 (/ (* x y) z))))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* -1 (* z (+ (* -1 (- x 1)) (* -1 (/ (* x y) z))))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* -1 (* z (+ (* -1 (- x 1)) (* -1 (/ (* x y) z))))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* -1 (* z (+ 1 (* -1 x)))) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(* -1 (* z (+ 1 (* -1 x)))) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(* -1 (* z (+ 1 (* -1 x)))) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(* -1 (* z (+ 1 (* -1 x)))) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(* z (- x 1)) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(* -1 (* z (+ (* -1 (- x 1)) (* -1 (/ (* x y) z))))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* -1 (* z (+ (* -1 (- x 1)) (* -1 (/ (* x y) z))))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* -1 (* z (+ (* -1 (- x 1)) (* -1 (/ (* x y) z))))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* z (- x 1)) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(* z (- x 1)) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(* z (- x 1)) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(* z (- x 1)) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* z (- x 1)) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(+ (* x y) (* z (- x 1))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(+ (* x y) (* z (- x 1))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(+ (* x y) (* z (- x 1))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* z (- x 1)) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(+ (* x y) (* z (- x 1))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(+ (* x y) (* z (- x 1))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(+ (* x y) (* z (- x 1))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* z (- x 1)) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(+ (* x y) (* z (- x 1))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(+ (* x y) (* z (- x 1))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(+ (* x y) (* z (- x 1))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* z (- x 1)) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(+ (* x y) (* z (- x 1))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(+ (* x y) (* z (- x 1))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(+ (* x y) (* z (- x 1))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* y (+ x (/ (* z (- x 1)) y))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* y (+ x (/ (* z (- x 1)) y))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* y (+ x (/ (* z (- x 1)) y))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* x y) |
(*.f64 y x) |
(* y (+ x (/ (* z (- x 1)) y))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* y (+ x (/ (* z (- x 1)) y))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* y (+ x (/ (* z (- x 1)) y))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* x y) |
(*.f64 y x) |
(* y (+ x (/ (* z (- x 1)) y))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* y (+ x (/ (* z (- x 1)) y))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* y (+ x (/ (* z (- x 1)) y))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* x y) |
(*.f64 y x) |
(* y (+ x (/ (* z (- x 1)) y))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* y (+ x (/ (* z (- x 1)) y))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* y (+ x (/ (* z (- x 1)) y))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- x 1)) y))))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- x 1)) y))))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- x 1)) y))))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* x y) |
(*.f64 y x) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- x 1)) y))))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- x 1)) y))))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- x 1)) y))))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* x y) |
(*.f64 y x) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- x 1)) y))))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- x 1)) y))))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- x 1)) y))))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* x y) |
(*.f64 y x) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- x 1)) y))))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- x 1)) y))))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- x 1)) y))))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* -1 z) |
(neg.f64 z) |
(+ (* -1 z) (* x (+ y z))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(+ (* -1 z) (* x (+ y z))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(+ (* -1 z) (* x (+ y z))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* -1 z) |
(neg.f64 z) |
(+ (* -1 z) (* x (+ y z))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(+ (* -1 z) (* x (+ y z))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(+ (* -1 z) (* x (+ y z))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* -1 z) |
(neg.f64 z) |
(+ (* -1 z) (* x z)) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(+ (* -1 z) (* x z)) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(+ (* -1 z) (* x z)) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(* x z) |
(*.f64 z x) |
(* x z) |
(*.f64 z x) |
(* x z) |
(*.f64 z x) |
(* x z) |
(*.f64 z x) |
(* -1 z) |
(neg.f64 z) |
(+ (* -1 z) (* x (+ y z))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(+ (* -1 z) (* x (+ y z))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(+ (* -1 z) (* x (+ y z))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* -1 z) |
(neg.f64 z) |
(- (* x z) z) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(- (* x z) z) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(- (* x z) z) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(* -1 z) |
(neg.f64 z) |
(+ (* -1 z) (* x (+ y z))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(+ (* -1 z) (* x (+ y z))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(+ (* -1 z) (* x (+ y z))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* -1 z) |
(neg.f64 z) |
(+ (* -1 z) (* x z)) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(+ (* -1 z) (* x z)) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(+ (* -1 z) (* x z)) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(* x (+ y z)) |
(*.f64 (+.f64 z y) x) |
(* x (+ y (+ z (* -1 (/ z x))))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* x (+ y (+ z (* -1 (/ z x))))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* x (+ y (+ z (* -1 (/ z x))))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* x (+ y z)) |
(*.f64 (+.f64 z y) x) |
(* x (+ y (+ z (* -1 (/ z x))))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* x (+ y (+ z (* -1 (/ z x))))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* x (+ y (+ z (* -1 (/ z x))))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* x z) |
(*.f64 z x) |
(* x (+ z (* -1 (/ z x)))) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(* x (+ z (* -1 (/ z x)))) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(* x (+ z (* -1 (/ z x)))) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(* x z) |
(*.f64 z x) |
(* x z) |
(*.f64 z x) |
(* x z) |
(*.f64 z x) |
(* x z) |
(*.f64 z x) |
(* x (+ y z)) |
(*.f64 (+.f64 z y) x) |
(* x (+ y (+ z (* -1 (/ z x))))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* x (+ y (+ z (* -1 (/ z x))))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* x (+ y (+ z (* -1 (/ z x))))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* x z) |
(*.f64 z x) |
(* x (+ z (* -1 (/ z x)))) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(* x (+ z (* -1 (/ z x)))) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(* x (+ z (* -1 (/ z x)))) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(* x (+ y z)) |
(*.f64 (+.f64 z y) x) |
(* x (+ y (+ z (* -1 (/ z x))))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* x (+ y (+ z (* -1 (/ z x))))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* x (+ y (+ z (* -1 (/ z x))))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x z) |
(*.f64 z x) |
(* x (+ z (* -1 (/ z x)))) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(* x (+ z (* -1 (/ z x)))) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(* x (+ z (* -1 (/ z x)))) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(* -1 (* x (+ (* -1 y) (* -1 z)))) |
(*.f64 (+.f64 z y) x) |
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x))))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x))))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x))))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* -1 (* x (+ (* -1 y) (* -1 z)))) |
(*.f64 (+.f64 z y) x) |
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x))))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x))))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x))))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* x z) |
(*.f64 z x) |
(* -1 (* x (+ (* -1 z) (/ z x)))) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(* -1 (* x (+ (* -1 z) (/ z x)))) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(* -1 (* x (+ (* -1 z) (/ z x)))) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(* x z) |
(*.f64 z x) |
(* x z) |
(*.f64 z x) |
(* x z) |
(*.f64 z x) |
(* x z) |
(*.f64 z x) |
(* -1 (* x (+ (* -1 y) (* -1 z)))) |
(*.f64 (+.f64 z y) x) |
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x))))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x))))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x))))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* x z) |
(*.f64 z x) |
(* -1 (* x (+ (* -1 z) (/ z x)))) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(* -1 (* x (+ (* -1 z) (/ z x)))) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(* -1 (* x (+ (* -1 z) (/ z x)))) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(* -1 (* x (+ (* -1 y) (* -1 z)))) |
(*.f64 (+.f64 z y) x) |
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x))))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x))))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x))))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x z) |
(*.f64 z x) |
(* -1 (* x (+ (* -1 z) (/ z x)))) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(* -1 (* x (+ (* -1 z) (/ z x)))) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(* -1 (* x (+ (* -1 z) (/ z x)))) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 87 |
| 0 | 23 | 87 |
| 1 | 83 | 87 |
| 2 | 578 | 87 |
| 3 | 7902 | 87 |
| 0 | 8527 | 83 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ (* x y) (* (- x 1) z)) z) |
#s(approx (+ (* x y) (* (- x 1) z)) #s(approx (* (- x 1) z) (*.f64 z x))) |
#s(approx (* (- x 1) z) (*.f64 z x)) |
(*.f64 z x) |
#s(approx (+ (* x y) (* (- x 1) z)) (-.f64 (*.f64 z x) z)) |
(-.f64 (*.f64 z x) z) |
(+.f64 (*.f64 x y) #s(approx (* (- x 1) z) (neg.f64 z))) |
(*.f64 x y) |
#s(approx (* (- x 1) z) (neg.f64 z)) |
(neg.f64 z) |
| Outputs |
|---|
#<batchref> |
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Compiled 7 961 to 864 computations (89.1% saved)
7 alts after pruning (1 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 563 | 1 | 564 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 3 | 4 |
| Done | 1 | 3 | 4 |
| Total | 565 | 7 | 572 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 81.7% | (fma.f64 y x #s(approx (* (- x 1) z) (neg.f64 z))) |
| ✓ | 58.0% | #s(approx (+ (* x y) (* (- x 1) z)) (-.f64 (*.f64 z x) z)) |
| ✓ | 62.1% | #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (+.f64 z y) x)) |
| ✓ | 44.3% | #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 y x)) |
| ✓ | 39.3% | #s(approx (+ (* x y) (* (- x 1) z)) (neg.f64 z)) |
| ✓ | 21.2% | #s(approx (+ (* x y) (* (- x 1) z)) #s(approx (* (- x 1) z) (*.f64 z x))) |
| ✓ | 2.7% | #s(approx (+ (* x y) (* (- x 1) z)) z) |
Compiled 32 to 38 computations (-18.8% saved)
| 1× | egg-herbie |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (neg.f64 z) | |
| cost-diff | 0 | #s(approx (* (- x 1) z) (neg.f64 z)) | |
| cost-diff | 0 | (fma.f64 y x #s(approx (* (- x 1) z) (neg.f64 z))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 24 |
| 0 | 12 | 24 |
| 1 | 22 | 24 |
| 2 | 30 | 24 |
| 3 | 42 | 24 |
| 4 | 50 | 24 |
| 5 | 65 | 24 |
| 6 | 103 | 24 |
| 7 | 162 | 24 |
| 8 | 241 | 24 |
| 9 | 300 | 24 |
| 10 | 365 | 24 |
| 11 | 406 | 24 |
| 12 | 423 | 24 |
| 13 | 443 | 24 |
| 14 | 465 | 24 |
| 15 | 481 | 24 |
| 16 | 484 | 24 |
| 0 | 484 | 24 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 y x #s(approx (* (- x 1) z) (neg.f64 z))) |
y |
x |
#s(approx (* (- x 1) z) (neg.f64 z)) |
(neg.f64 z) |
z |
| Outputs |
|---|
(fma.f64 y x #s(approx (* (- x 1) z) (neg.f64 z))) |
(fma.f64 x y #s(approx (* (- x 1) z) (neg.f64 z))) |
y |
x |
#s(approx (* (- x 1) z) (neg.f64 z)) |
(neg.f64 z) |
z |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (neg.f64 z) | |
| accuracy | 1.4999834856333614 | (fma.f64 y x #s(approx (* (- x 1) z) (neg.f64 z))) | |
| accuracy | 27.56493979387876 | #s(approx (* (- x 1) z) (neg.f64 z)) |
| 16.0ms | 256× | 0 | valid |
Compiled 21 to 11 computations (47.6% saved)
ival-mult: 5.0ms (53.8% of total)ival-neg: 2.0ms (21.5% of total)ival-sub: 1.0ms (10.8% of total)ival-add: 1.0ms (10.8% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (fma.f64 y x #s(approx (* (- x 1) z) (neg.f64 z))) (patch (fma.f64 y x #s(approx (* (- x 1) z) (neg.f64 z))) #<representation binary64>) () ()) |
#s(alt #s(approx (* (- x 1) z) (neg.f64 z)) (patch #s(approx (* (- x 1) z) (neg.f64 z)) #<representation binary64>) () ()) |
#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* x y) (taylor 0 z) (#s(alt (fma.f64 y x #s(approx (* (- x 1) z) (neg.f64 z))) (patch (fma.f64 y x #s(approx (* (- x 1) z) (neg.f64 z))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x y) (* z (- x 1))) (taylor 0 z) (#s(alt (fma.f64 y x #s(approx (* (- x 1) z) (neg.f64 z))) (patch (fma.f64 y x #s(approx (* (- x 1) z) (neg.f64 z))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x y) (* z (- x 1))) (taylor 0 z) (#s(alt (fma.f64 y x #s(approx (* (- x 1) z) (neg.f64 z))) (patch (fma.f64 y x #s(approx (* (- x 1) z) (neg.f64 z))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x y) (* z (- x 1))) (taylor 0 z) (#s(alt (fma.f64 y x #s(approx (* (- x 1) z) (neg.f64 z))) (patch (fma.f64 y x #s(approx (* (- x 1) z) (neg.f64 z))) #<representation binary64>) () ())) ()) |
#s(alt (* z (- x 1)) (taylor 0 z) (#s(alt #s(approx (* (- x 1) z) (neg.f64 z)) (patch #s(approx (* (- x 1) z) (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (* z (- x 1)) (taylor 0 z) (#s(alt #s(approx (* (- x 1) z) (neg.f64 z)) (patch #s(approx (* (- x 1) z) (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (* z (- x 1)) (taylor 0 z) (#s(alt #s(approx (* (- x 1) z) (neg.f64 z)) (patch #s(approx (* (- x 1) z) (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (* z (- x 1)) (taylor 0 z) (#s(alt #s(approx (* (- x 1) z) (neg.f64 z)) (patch #s(approx (* (- x 1) z) (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ()) |
#s(alt (* z (- x 1)) (taylor inf z) (#s(alt (fma.f64 y x #s(approx (* (- x 1) z) (neg.f64 z))) (patch (fma.f64 y x #s(approx (* (- x 1) z) (neg.f64 z))) #<representation binary64>) () ())) ()) |
#s(alt (* z (- (+ x (/ (* x y) z)) 1)) (taylor inf z) (#s(alt (fma.f64 y x #s(approx (* (- x 1) z) (neg.f64 z))) (patch (fma.f64 y x #s(approx (* (- x 1) z) (neg.f64 z))) #<representation binary64>) () ())) ()) |
#s(alt (* z (- (+ x (/ (* x y) z)) 1)) (taylor inf z) (#s(alt (fma.f64 y x #s(approx (* (- x 1) z) (neg.f64 z))) (patch (fma.f64 y x #s(approx (* (- x 1) z) (neg.f64 z))) #<representation binary64>) () ())) ()) |
#s(alt (* z (- (+ x (/ (* x y) z)) 1)) (taylor inf z) (#s(alt (fma.f64 y x #s(approx (* (- x 1) z) (neg.f64 z))) (patch (fma.f64 y x #s(approx (* (- x 1) z) (neg.f64 z))) #<representation binary64>) () ())) ()) |
#s(alt (* z (- x 1)) (taylor inf z) (#s(alt #s(approx (* (- x 1) z) (neg.f64 z)) (patch #s(approx (* (- x 1) z) (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (* z (- x 1)) (taylor inf z) (#s(alt #s(approx (* (- x 1) z) (neg.f64 z)) (patch #s(approx (* (- x 1) z) (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (* z (- x 1)) (taylor inf z) (#s(alt #s(approx (* (- x 1) z) (neg.f64 z)) (patch #s(approx (* (- x 1) z) (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (* z (- x 1)) (taylor inf z) (#s(alt #s(approx (* (- x 1) z) (neg.f64 z)) (patch #s(approx (* (- x 1) z) (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor inf z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor inf z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor inf z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor inf z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ()) |
#s(alt (* z (- x 1)) (taylor -inf z) (#s(alt (fma.f64 y x #s(approx (* (- x 1) z) (neg.f64 z))) (patch (fma.f64 y x #s(approx (* (- x 1) z) (neg.f64 z))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ (* -1 (- x 1)) (* -1 (/ (* x y) z))))) (taylor -inf z) (#s(alt (fma.f64 y x #s(approx (* (- x 1) z) (neg.f64 z))) (patch (fma.f64 y x #s(approx (* (- x 1) z) (neg.f64 z))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ (* -1 (- x 1)) (* -1 (/ (* x y) z))))) (taylor -inf z) (#s(alt (fma.f64 y x #s(approx (* (- x 1) z) (neg.f64 z))) (patch (fma.f64 y x #s(approx (* (- x 1) z) (neg.f64 z))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ (* -1 (- x 1)) (* -1 (/ (* x y) z))))) (taylor -inf z) (#s(alt (fma.f64 y x #s(approx (* (- x 1) z) (neg.f64 z))) (patch (fma.f64 y x #s(approx (* (- x 1) z) (neg.f64 z))) #<representation binary64>) () ())) ()) |
#s(alt (* z (- x 1)) (taylor -inf z) (#s(alt #s(approx (* (- x 1) z) (neg.f64 z)) (patch #s(approx (* (- x 1) z) (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (* z (- x 1)) (taylor -inf z) (#s(alt #s(approx (* (- x 1) z) (neg.f64 z)) (patch #s(approx (* (- x 1) z) (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (* z (- x 1)) (taylor -inf z) (#s(alt #s(approx (* (- x 1) z) (neg.f64 z)) (patch #s(approx (* (- x 1) z) (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (* z (- x 1)) (taylor -inf z) (#s(alt #s(approx (* (- x 1) z) (neg.f64 z)) (patch #s(approx (* (- x 1) z) (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor -inf z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor -inf z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor -inf z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor -inf z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ()) |
#s(alt (* z (- x 1)) (taylor 0 y) (#s(alt (fma.f64 y x #s(approx (* (- x 1) z) (neg.f64 z))) (patch (fma.f64 y x #s(approx (* (- x 1) z) (neg.f64 z))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x y) (* z (- x 1))) (taylor 0 y) (#s(alt (fma.f64 y x #s(approx (* (- x 1) z) (neg.f64 z))) (patch (fma.f64 y x #s(approx (* (- x 1) z) (neg.f64 z))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x y) (* z (- x 1))) (taylor 0 y) (#s(alt (fma.f64 y x #s(approx (* (- x 1) z) (neg.f64 z))) (patch (fma.f64 y x #s(approx (* (- x 1) z) (neg.f64 z))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x y) (* z (- x 1))) (taylor 0 y) (#s(alt (fma.f64 y x #s(approx (* (- x 1) z) (neg.f64 z))) (patch (fma.f64 y x #s(approx (* (- x 1) z) (neg.f64 z))) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor inf y) (#s(alt (fma.f64 y x #s(approx (* (- x 1) z) (neg.f64 z))) (patch (fma.f64 y x #s(approx (* (- x 1) z) (neg.f64 z))) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ x (/ (* z (- x 1)) y))) (taylor inf y) (#s(alt (fma.f64 y x #s(approx (* (- x 1) z) (neg.f64 z))) (patch (fma.f64 y x #s(approx (* (- x 1) z) (neg.f64 z))) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ x (/ (* z (- x 1)) y))) (taylor inf y) (#s(alt (fma.f64 y x #s(approx (* (- x 1) z) (neg.f64 z))) (patch (fma.f64 y x #s(approx (* (- x 1) z) (neg.f64 z))) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ x (/ (* z (- x 1)) y))) (taylor inf y) (#s(alt (fma.f64 y x #s(approx (* (- x 1) z) (neg.f64 z))) (patch (fma.f64 y x #s(approx (* (- x 1) z) (neg.f64 z))) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf y) (#s(alt (fma.f64 y x #s(approx (* (- x 1) z) (neg.f64 z))) (patch (fma.f64 y x #s(approx (* (- x 1) z) (neg.f64 z))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- x 1)) y))))) (taylor -inf y) (#s(alt (fma.f64 y x #s(approx (* (- x 1) z) (neg.f64 z))) (patch (fma.f64 y x #s(approx (* (- x 1) z) (neg.f64 z))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- x 1)) y))))) (taylor -inf y) (#s(alt (fma.f64 y x #s(approx (* (- x 1) z) (neg.f64 z))) (patch (fma.f64 y x #s(approx (* (- x 1) z) (neg.f64 z))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- x 1)) y))))) (taylor -inf y) (#s(alt (fma.f64 y x #s(approx (* (- x 1) z) (neg.f64 z))) (patch (fma.f64 y x #s(approx (* (- x 1) z) (neg.f64 z))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor 0 x) (#s(alt (fma.f64 y x #s(approx (* (- x 1) z) (neg.f64 z))) (patch (fma.f64 y x #s(approx (* (- x 1) z) (neg.f64 z))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 z) (* x (+ y z))) (taylor 0 x) (#s(alt (fma.f64 y x #s(approx (* (- x 1) z) (neg.f64 z))) (patch (fma.f64 y x #s(approx (* (- x 1) z) (neg.f64 z))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 z) (* x (+ y z))) (taylor 0 x) (#s(alt (fma.f64 y x #s(approx (* (- x 1) z) (neg.f64 z))) (patch (fma.f64 y x #s(approx (* (- x 1) z) (neg.f64 z))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 z) (* x (+ y z))) (taylor 0 x) (#s(alt (fma.f64 y x #s(approx (* (- x 1) z) (neg.f64 z))) (patch (fma.f64 y x #s(approx (* (- x 1) z) (neg.f64 z))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor 0 x) (#s(alt #s(approx (* (- x 1) z) (neg.f64 z)) (patch #s(approx (* (- x 1) z) (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 z) (* x z)) (taylor 0 x) (#s(alt #s(approx (* (- x 1) z) (neg.f64 z)) (patch #s(approx (* (- x 1) z) (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 z) (* x z)) (taylor 0 x) (#s(alt #s(approx (* (- x 1) z) (neg.f64 z)) (patch #s(approx (* (- x 1) z) (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 z) (* x z)) (taylor 0 x) (#s(alt #s(approx (* (- x 1) z) (neg.f64 z)) (patch #s(approx (* (- x 1) z) (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ y z)) (taylor inf x) (#s(alt (fma.f64 y x #s(approx (* (- x 1) z) (neg.f64 z))) (patch (fma.f64 y x #s(approx (* (- x 1) z) (neg.f64 z))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ y (+ z (* -1 (/ z x))))) (taylor inf x) (#s(alt (fma.f64 y x #s(approx (* (- x 1) z) (neg.f64 z))) (patch (fma.f64 y x #s(approx (* (- x 1) z) (neg.f64 z))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ y (+ z (* -1 (/ z x))))) (taylor inf x) (#s(alt (fma.f64 y x #s(approx (* (- x 1) z) (neg.f64 z))) (patch (fma.f64 y x #s(approx (* (- x 1) z) (neg.f64 z))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ y (+ z (* -1 (/ z x))))) (taylor inf x) (#s(alt (fma.f64 y x #s(approx (* (- x 1) z) (neg.f64 z))) (patch (fma.f64 y x #s(approx (* (- x 1) z) (neg.f64 z))) #<representation binary64>) () ())) ()) |
#s(alt (* x z) (taylor inf x) (#s(alt #s(approx (* (- x 1) z) (neg.f64 z)) (patch #s(approx (* (- x 1) z) (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ z (* -1 (/ z x)))) (taylor inf x) (#s(alt #s(approx (* (- x 1) z) (neg.f64 z)) (patch #s(approx (* (- x 1) z) (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ z (* -1 (/ z x)))) (taylor inf x) (#s(alt #s(approx (* (- x 1) z) (neg.f64 z)) (patch #s(approx (* (- x 1) z) (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ z (* -1 (/ z x)))) (taylor inf x) (#s(alt #s(approx (* (- x 1) z) (neg.f64 z)) (patch #s(approx (* (- x 1) z) (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 y) (* -1 z)))) (taylor -inf x) (#s(alt (fma.f64 y x #s(approx (* (- x 1) z) (neg.f64 z))) (patch (fma.f64 y x #s(approx (* (- x 1) z) (neg.f64 z))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x))))) (taylor -inf x) (#s(alt (fma.f64 y x #s(approx (* (- x 1) z) (neg.f64 z))) (patch (fma.f64 y x #s(approx (* (- x 1) z) (neg.f64 z))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x))))) (taylor -inf x) (#s(alt (fma.f64 y x #s(approx (* (- x 1) z) (neg.f64 z))) (patch (fma.f64 y x #s(approx (* (- x 1) z) (neg.f64 z))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x))))) (taylor -inf x) (#s(alt (fma.f64 y x #s(approx (* (- x 1) z) (neg.f64 z))) (patch (fma.f64 y x #s(approx (* (- x 1) z) (neg.f64 z))) #<representation binary64>) () ())) ()) |
#s(alt (* x z) (taylor -inf x) (#s(alt #s(approx (* (- x 1) z) (neg.f64 z)) (patch #s(approx (* (- x 1) z) (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 z) (/ z x)))) (taylor -inf x) (#s(alt #s(approx (* (- x 1) z) (neg.f64 z)) (patch #s(approx (* (- x 1) z) (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 z) (/ z x)))) (taylor -inf x) (#s(alt #s(approx (* (- x 1) z) (neg.f64 z)) (patch #s(approx (* (- x 1) z) (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 z) (/ z x)))) (taylor -inf x) (#s(alt #s(approx (* (- x 1) z) (neg.f64 z)) (patch #s(approx (* (- x 1) z) (neg.f64 z)) #<representation binary64>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | z | @ | inf | ((+ (* y x) (* (- x 1) z)) (* (- x 1) z) (neg z)) |
| 1.0ms | z | @ | -inf | ((+ (* y x) (* (- x 1) z)) (* (- x 1) z) (neg z)) |
| 0.0ms | x | @ | -inf | ((+ (* y x) (* (- x 1) z)) (* (- x 1) z) (neg z)) |
| 0.0ms | z | @ | 0 | ((+ (* y x) (* (- x 1) z)) (* (- x 1) z) (neg z)) |
| 0.0ms | x | @ | inf | ((+ (* y x) (* (- x 1) z)) (* (- x 1) z) (neg z)) |
| 1× | egg-herbie |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 48 | 416 |
| 1 | 166 | 362 |
| 2 | 488 | 362 |
| 3 | 1252 | 362 |
| 4 | 3738 | 362 |
| 5 | 6953 | 362 |
| 0 | 8117 | 362 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* x y) |
(+ (* x y) (* z (- x 1))) |
(+ (* x y) (* z (- x 1))) |
(+ (* x y) (* z (- x 1))) |
(* z (- x 1)) |
(* z (- x 1)) |
(* z (- x 1)) |
(* z (- x 1)) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* z (- x 1)) |
(* z (- (+ x (/ (* x y) z)) 1)) |
(* z (- (+ x (/ (* x y) z)) 1)) |
(* z (- (+ x (/ (* x y) z)) 1)) |
(* z (- x 1)) |
(* z (- x 1)) |
(* z (- x 1)) |
(* z (- x 1)) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* z (- x 1)) |
(* -1 (* z (+ (* -1 (- x 1)) (* -1 (/ (* x y) z))))) |
(* -1 (* z (+ (* -1 (- x 1)) (* -1 (/ (* x y) z))))) |
(* -1 (* z (+ (* -1 (- x 1)) (* -1 (/ (* x y) z))))) |
(* z (- x 1)) |
(* z (- x 1)) |
(* z (- x 1)) |
(* z (- x 1)) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* z (- x 1)) |
(+ (* x y) (* z (- x 1))) |
(+ (* x y) (* z (- x 1))) |
(+ (* x y) (* z (- x 1))) |
(* x y) |
(* y (+ x (/ (* z (- x 1)) y))) |
(* y (+ x (/ (* z (- x 1)) y))) |
(* y (+ x (/ (* z (- x 1)) y))) |
(* x y) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- x 1)) y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- x 1)) y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- x 1)) y))))) |
(* -1 z) |
(+ (* -1 z) (* x (+ y z))) |
(+ (* -1 z) (* x (+ y z))) |
(+ (* -1 z) (* x (+ y z))) |
(* -1 z) |
(+ (* -1 z) (* x z)) |
(+ (* -1 z) (* x z)) |
(+ (* -1 z) (* x z)) |
(* x (+ y z)) |
(* x (+ y (+ z (* -1 (/ z x))))) |
(* x (+ y (+ z (* -1 (/ z x))))) |
(* x (+ y (+ z (* -1 (/ z x))))) |
(* x z) |
(* x (+ z (* -1 (/ z x)))) |
(* x (+ z (* -1 (/ z x)))) |
(* x (+ z (* -1 (/ z x)))) |
(* -1 (* x (+ (* -1 y) (* -1 z)))) |
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x))))) |
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x))))) |
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x))))) |
(* x z) |
(* -1 (* x (+ (* -1 z) (/ z x)))) |
(* -1 (* x (+ (* -1 z) (/ z x)))) |
(* -1 (* x (+ (* -1 z) (/ z x)))) |
| Outputs |
|---|
(* x y) |
(*.f64 y x) |
(+ (* x y) (* z (- x 1))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(+ (* x y) (* z (- x 1))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(+ (* x y) (* z (- x 1))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* z (- x 1)) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(* z (- x 1)) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(* z (- x 1)) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(* z (- x 1)) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* z (- x 1)) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(* z (- (+ x (/ (* x y) z)) 1)) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* z (- (+ x (/ (* x y) z)) 1)) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* z (- (+ x (/ (* x y) z)) 1)) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* z (- x 1)) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(* z (- x 1)) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(* z (- x 1)) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(* z (- x 1)) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* z (- x 1)) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(* -1 (* z (+ (* -1 (- x 1)) (* -1 (/ (* x y) z))))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* -1 (* z (+ (* -1 (- x 1)) (* -1 (/ (* x y) z))))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* -1 (* z (+ (* -1 (- x 1)) (* -1 (/ (* x y) z))))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* z (- x 1)) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(* z (- x 1)) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(* z (- x 1)) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(* z (- x 1)) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* z (- x 1)) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(+ (* x y) (* z (- x 1))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(+ (* x y) (* z (- x 1))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(+ (* x y) (* z (- x 1))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* x y) |
(*.f64 y x) |
(* y (+ x (/ (* z (- x 1)) y))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* y (+ x (/ (* z (- x 1)) y))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* y (+ x (/ (* z (- x 1)) y))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* x y) |
(*.f64 y x) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- x 1)) y))))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- x 1)) y))))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- x 1)) y))))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* -1 z) |
(neg.f64 z) |
(+ (* -1 z) (* x (+ y z))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(+ (* -1 z) (* x (+ y z))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(+ (* -1 z) (* x (+ y z))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* -1 z) |
(neg.f64 z) |
(+ (* -1 z) (* x z)) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(+ (* -1 z) (* x z)) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(+ (* -1 z) (* x z)) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(* x (+ y z)) |
(*.f64 (+.f64 z y) x) |
(* x (+ y (+ z (* -1 (/ z x))))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* x (+ y (+ z (* -1 (/ z x))))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* x (+ y (+ z (* -1 (/ z x))))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* x z) |
(*.f64 z x) |
(* x (+ z (* -1 (/ z x)))) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(* x (+ z (* -1 (/ z x)))) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(* x (+ z (* -1 (/ z x)))) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(* -1 (* x (+ (* -1 y) (* -1 z)))) |
(*.f64 (+.f64 z y) x) |
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x))))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x))))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x))))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* x z) |
(*.f64 z x) |
(* -1 (* x (+ (* -1 z) (/ z x)))) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(* -1 (* x (+ (* -1 z) (/ z x)))) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(* -1 (* x (+ (* -1 z) (/ z x)))) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 21 |
| 0 | 12 | 21 |
| 1 | 47 | 21 |
| 2 | 300 | 21 |
| 3 | 2882 | 21 |
| 0 | 8710 | 21 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 y x #s(approx (* (- x 1) z) (neg.f64 z))) |
#s(approx (* (- x 1) z) (neg.f64 z)) |
(neg.f64 z) |
| Outputs |
|---|
#<batchref> |
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Compiled 5 449 to 541 computations (90.1% saved)
7 alts after pruning (0 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 236 | 0 | 236 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 6 | 6 |
| Total | 236 | 7 | 243 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 81.7% | (fma.f64 y x #s(approx (* (- x 1) z) (neg.f64 z))) |
| ✓ | 58.0% | #s(approx (+ (* x y) (* (- x 1) z)) (-.f64 (*.f64 z x) z)) |
| ✓ | 62.1% | #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (+.f64 z y) x)) |
| ✓ | 44.3% | #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 y x)) |
| ✓ | 39.3% | #s(approx (+ (* x y) (* (- x 1) z)) (neg.f64 z)) |
| ✓ | 21.2% | #s(approx (+ (* x y) (* (- x 1) z)) #s(approx (* (- x 1) z) (*.f64 z x))) |
| ✓ | 2.7% | #s(approx (+ (* x y) (* (- x 1) z)) z) |
Compiled 94 to 65 computations (30.9% saved)
| Inputs |
|---|
#s(approx (+ (* x y) (* (- x 1) z)) z) |
#s(approx (+ (* x y) (* (- x 1) z)) (neg.f64 z)) |
#s(approx (+ (* x y) (* (- x 1) z)) #s(approx (* (- x 1) z) (*.f64 z x))) |
#s(approx (+ (* x y) (* (- x 1) z)) (*.f64 y x)) |
#s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (+.f64 z y) x)) |
#s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) |
#s(approx (+ (* x y) (* (- x 1) z)) (-.f64 (*.f64 z x) z)) |
(fma.f64 y x #s(approx (* (- x 1) z) (neg.f64 z))) |
(+.f64 (*.f64 x y) #s(approx (* (- x 1) z) (neg.f64 z))) |
#s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 (+.f64 z y) x (neg.f64 z))) |
(+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) |
| Outputs |
|---|
#s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 (+.f64 z y) x (neg.f64 z))) |
4 calls:
| 4.0ms | (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) 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 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) |
Compiled 12 to 17 computations (-41.7% saved)
| Inputs |
|---|
#s(approx (+ (* x y) (* (- x 1) z)) z) |
#s(approx (+ (* x y) (* (- x 1) z)) (neg.f64 z)) |
#s(approx (+ (* x y) (* (- x 1) z)) #s(approx (* (- x 1) z) (*.f64 z x))) |
#s(approx (+ (* x y) (* (- x 1) z)) (*.f64 y x)) |
#s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (+.f64 z y) x)) |
#s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) |
#s(approx (+ (* x y) (* (- x 1) z)) (-.f64 (*.f64 z x) z)) |
(fma.f64 y x #s(approx (* (- x 1) z) (neg.f64 z))) |
(+.f64 (*.f64 x y) #s(approx (* (- x 1) z) (neg.f64 z))) |
| Outputs |
|---|
#s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (+.f64 z y) x)) |
(fma.f64 y x #s(approx (* (- x 1) z) (neg.f64 z))) |
#s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (+.f64 z y) x)) |
4 calls:
| 18.0ms | z |
| 4.0ms | y |
| 4.0ms | (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) |
| 4.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.2% | 3 | x |
| 92.8% | 3 | y |
| 88.7% | 3 | z |
| 89.2% | 3 | (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) |
Compiled 12 to 17 computations (-41.7% saved)
| Inputs |
|---|
#s(approx (+ (* x y) (* (- x 1) z)) z) |
#s(approx (+ (* x y) (* (- x 1) z)) (neg.f64 z)) |
#s(approx (+ (* x y) (* (- x 1) z)) #s(approx (* (- x 1) z) (*.f64 z x))) |
#s(approx (+ (* x y) (* (- x 1) z)) (*.f64 y x)) |
#s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (+.f64 z y) x)) |
#s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) |
#s(approx (+ (* x y) (* (- x 1) z)) (-.f64 (*.f64 z x) z)) |
| Outputs |
|---|
#s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (+.f64 z y) x)) |
#s(approx (+ (* x y) (* (- x 1) z)) (-.f64 (*.f64 z x) z)) |
#s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (+.f64 z y) x)) |
4 calls:
| 6.0ms | y |
| 3.0ms | x |
| 3.0ms | (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) |
| 3.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 77.7% | 3 | z |
| 74.3% | 3 | (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) |
| 83.6% | 3 | y |
| 83.2% | 3 | x |
Compiled 12 to 17 computations (-41.7% saved)
| Inputs |
|---|
#s(approx (+ (* x y) (* (- x 1) z)) z) |
#s(approx (+ (* x y) (* (- x 1) z)) (neg.f64 z)) |
#s(approx (+ (* x y) (* (- x 1) z)) #s(approx (* (- x 1) z) (*.f64 z x))) |
#s(approx (+ (* x y) (* (- x 1) z)) (*.f64 y x)) |
#s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (+.f64 z y) x)) |
#s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) |
| Outputs |
|---|
#s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (+.f64 z y) x)) |
#s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) |
#s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (+.f64 z y) x)) |
1 calls:
| 3.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 83.6% | 3 | y |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
#s(approx (+ (* x y) (* (- x 1) z)) z) |
#s(approx (+ (* x y) (* (- x 1) z)) (neg.f64 z)) |
#s(approx (+ (* x y) (* (- x 1) z)) #s(approx (* (- x 1) z) (*.f64 z x))) |
#s(approx (+ (* x y) (* (- x 1) z)) (*.f64 y x)) |
#s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (+.f64 z y) x)) |
| Outputs |
|---|
#s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (+.f64 z y) x)) |
#s(approx (+ (* x y) (* (- x 1) z)) (neg.f64 z)) |
#s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (+.f64 z y) x)) |
2 calls:
| 2.0ms | y |
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 83.1% | 3 | x |
| 69.6% | 3 | y |
Compiled 2 to 6 computations (-200% saved)
| Inputs |
|---|
#s(approx (+ (* x y) (* (- x 1) z)) z) |
#s(approx (+ (* x y) (* (- x 1) z)) (neg.f64 z)) |
#s(approx (+ (* x y) (* (- x 1) z)) #s(approx (* (- x 1) z) (*.f64 z x))) |
#s(approx (+ (* x y) (* (- x 1) z)) (*.f64 y x)) |
| Outputs |
|---|
#s(approx (+ (* x y) (* (- x 1) z)) (*.f64 y x)) |
#s(approx (+ (* x y) (* (- x 1) z)) (neg.f64 z)) |
#s(approx (+ (* x y) (* (- x 1) z)) (*.f64 y x)) |
4 calls:
| 4.0ms | z |
| 2.0ms | x |
| 2.0ms | (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) |
| 2.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 65.6% | 3 | y |
| 56.3% | 3 | (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) |
| 60.6% | 4 | z |
| 65.3% | 3 | x |
Compiled 12 to 17 computations (-41.7% saved)
| Inputs |
|---|
#s(approx (+ (* x y) (* (- x 1) z)) z) |
#s(approx (+ (* x y) (* (- x 1) z)) (neg.f64 z)) |
#s(approx (+ (* x y) (* (- x 1) z)) #s(approx (* (- x 1) z) (*.f64 z x))) |
| Outputs |
|---|
#s(approx (+ (* x y) (* (- x 1) z)) #s(approx (* (- x 1) z) (*.f64 z x))) |
#s(approx (+ (* x y) (* (- x 1) z)) (neg.f64 z)) |
#s(approx (+ (* x y) (* (- x 1) z)) #s(approx (* (- x 1) z) (*.f64 z x))) |
3 calls:
| 2.0ms | z |
| 2.0ms | y |
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 41.2% | 2 | z |
| 57.3% | 3 | x |
| 39.3% | 1 | y |
Compiled 3 to 9 computations (-200% saved)
| Inputs |
|---|
#s(approx (+ (* x y) (* (- x 1) z)) z) |
#s(approx (+ (* x y) (* (- x 1) z)) (neg.f64 z)) |
| Outputs |
|---|
#s(approx (+ (* x y) (* (- x 1) z)) (neg.f64 z)) |
3 calls:
| 4.0ms | (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) |
| 2.0ms | x |
| 2.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 39.3% | 1 | z |
| 39.3% | 1 | (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) |
| 39.3% | 1 | x |
Compiled 11 to 14 computations (-27.3% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (+ (* x y) (* (- x 1) z)) z) |
| Outputs |
|---|
#s(approx (+ (* x y) (* (- x 1) z)) z) |
4 calls:
| 1.0ms | x |
| 1.0ms | (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) |
| 1.0ms | z |
| 1.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 2.7% | 1 | z |
| 2.7% | 1 | y |
| 2.7% | 1 | (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) |
| 2.7% | 1 | x |
Compiled 12 to 17 computations (-41.7% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 11.0ms | 9.352456685932734e-14 | 5.261957867461079e-11 |
| 13.0ms | -16556604103.087551 | -280856.68143277644 |
| 12.0ms | 256× | 0 | valid |
Compiled 204 to 238 computations (-16.7% saved)
ival-mult: 4.0ms (65.2% of total)ival-sub: 1.0ms (16.3% of total)ival-add: 1.0ms (16.3% 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 |
|---|---|---|
| 78.0ms | 1.4724039696085495e+59 | 6.676329717243829e+63 |
| 8.0ms | -6.073086476253972e+82 | -6.542469339260391e+81 |
| 78.0ms | 224× | 0 | valid |
Compiled 180 to 210 computations (-16.7% saved)
ival-mult: 70.0ms (96.7% of total)ival-sub: 1.0ms (1.4% of total)ival-add: 1.0ms (1.4% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 1.4724039696085495e+59 | 6.676329717243829e+63 |
| 1.0ms | -6.073086476253972e+82 | -6.542469339260391e+81 |
Compiled 180 to 224 computations (-24.4% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 12.0ms | 9.352456685932734e-14 | 5.261957867461079e-11 |
| 9.0ms | -2.843568673520346e-50 | -3.1212262717291513e-52 |
| 13.0ms | 224× | 0 | valid |
Compiled 147 to 209 computations (-42.2% saved)
ival-mult: 3.0ms (55.4% of total)ival-sub: 1.0ms (18.5% of total)ival-add: 1.0ms (18.5% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 1.4724039696085495e+59 | 6.676329717243829e+63 |
| 1.0ms | -6.073086476253972e+82 | -6.542469339260391e+81 |
Compiled 110 to 182 computations (-65.5% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 171.0ms | 5.261957867461079e-11 | 3.817357323275356 |
| 1.0ms | -16556604103.087551 | -280856.68143277644 |
| 7.0ms | 160× | 0 | valid |
Compiled 156 to 248 computations (-59% saved)
ival-mult: 2.0ms (52% of total)ival-sub: 1.0ms (26% of total)ival-add: 1.0ms (26% 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 | 349 |
| 1 | 67 | 349 |
| 2 | 73 | 349 |
| 3 | 79 | 349 |
| 4 | 86 | 349 |
| 5 | 97 | 349 |
| 1× | saturated |
| Inputs |
|---|
#s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 (+.f64 z y) x (neg.f64 z))) |
(if (<=.f64 x #s(literal -290000 binary64)) #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (+.f64 z y) x)) (if (<=.f64 x #s(literal 2011652563838743/38685626227668133590597632 binary64)) (fma.f64 y x #s(approx (* (- x 1) z) (neg.f64 z))) #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (+.f64 z y) x)))) |
(if (<=.f64 y #s(literal -18000000000000000689319671493127823313199612156473955710481876045197379757957709824 binary64)) #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (+.f64 z y) x)) (if (<=.f64 y #s(literal 319999999999999982019823679181236186105508941712422302908416 binary64)) #s(approx (+ (* x y) (* (- x 1) z)) (-.f64 (*.f64 z x) z)) #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (+.f64 z y) x)))) |
(if (<=.f64 y #s(literal -18000000000000000689319671493127823313199612156473955710481876045197379757957709824 binary64)) #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (+.f64 z y) x)) (if (<=.f64 y #s(literal 319999999999999982019823679181236186105508941712422302908416 binary64)) #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (+.f64 z y) x)))) |
(if (<=.f64 x #s(literal -4886490333421053/842498333348457493583344221469363458551160763204392890034487820288 binary64)) #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (+.f64 z y) x)) (if (<=.f64 x #s(literal 4951760157141521/9903520314283042199192993792 binary64)) #s(approx (+ (* x y) (* (- x 1) z)) (neg.f64 z)) #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (+.f64 z y) x)))) |
(if (<=.f64 y #s(literal -18000000000000000689319671493127823313199612156473955710481876045197379757957709824 binary64)) #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 y x)) (if (<=.f64 y #s(literal 319999999999999982019823679181236186105508941712422302908416 binary64)) #s(approx (+ (* x y) (* (- x 1) z)) (neg.f64 z)) #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 y x)))) |
(if (<=.f64 x #s(literal -290000 binary64)) #s(approx (+ (* x y) (* (- x 1) z)) #s(approx (* (- x 1) z) (*.f64 z x))) (if (<=.f64 x #s(literal 1 binary64)) #s(approx (+ (* x y) (* (- x 1) z)) (neg.f64 z)) #s(approx (+ (* x y) (* (- x 1) z)) #s(approx (* (- x 1) z) (*.f64 z x))))) |
#s(approx (+ (* x y) (* (- x 1) z)) (neg.f64 z)) |
#s(approx (+ (* x y) (* (- x 1) z)) z) |
| Outputs |
|---|
#s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 (+.f64 z y) x (neg.f64 z))) |
(if (<=.f64 x #s(literal -290000 binary64)) #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (+.f64 z y) x)) (if (<=.f64 x #s(literal 2011652563838743/38685626227668133590597632 binary64)) (fma.f64 y x #s(approx (* (- x 1) z) (neg.f64 z))) #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (+.f64 z y) x)))) |
(if (<=.f64 y #s(literal -18000000000000000689319671493127823313199612156473955710481876045197379757957709824 binary64)) #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (+.f64 z y) x)) (if (<=.f64 y #s(literal 319999999999999982019823679181236186105508941712422302908416 binary64)) #s(approx (+ (* x y) (* (- x 1) z)) (-.f64 (*.f64 z x) z)) #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (+.f64 z y) x)))) |
(if (<=.f64 y #s(literal -18000000000000000689319671493127823313199612156473955710481876045197379757957709824 binary64)) #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (+.f64 z y) x)) (if (<=.f64 y #s(literal 319999999999999982019823679181236186105508941712422302908416 binary64)) #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (+.f64 z y) x)))) |
(if (<=.f64 x #s(literal -4886490333421053/842498333348457493583344221469363458551160763204392890034487820288 binary64)) #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (+.f64 z y) x)) (if (<=.f64 x #s(literal 4951760157141521/9903520314283042199192993792 binary64)) #s(approx (+ (* x y) (* (- x 1) z)) (neg.f64 z)) #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (+.f64 z y) x)))) |
(if (<=.f64 y #s(literal -18000000000000000689319671493127823313199612156473955710481876045197379757957709824 binary64)) #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 y x)) (if (<=.f64 y #s(literal 319999999999999982019823679181236186105508941712422302908416 binary64)) #s(approx (+ (* x y) (* (- x 1) z)) (neg.f64 z)) #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 y x)))) |
(if (<=.f64 x #s(literal -290000 binary64)) #s(approx (+ (* x y) (* (- x 1) z)) #s(approx (* (- x 1) z) (*.f64 z x))) (if (<=.f64 x #s(literal 1 binary64)) #s(approx (+ (* x y) (* (- x 1) z)) (neg.f64 z)) #s(approx (+ (* x y) (* (- x 1) z)) #s(approx (* (- x 1) z) (*.f64 z x))))) |
#s(approx (+ (* x y) (* (- x 1) z)) (neg.f64 z)) |
#s(approx (+ (* x y) (* (- x 1) z)) z) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 54 | 494 |
| 1 | 180 | 440 |
| 2 | 532 | 440 |
| 3 | 1339 | 440 |
| 4 | 4403 | 440 |
| 0 | 8080 | 440 |
| 0 | 100 | 2141 |
| 1 | 346 | 1817 |
| 2 | 1017 | 1817 |
| 3 | 2559 | 1817 |
| 4 | 5278 | 1817 |
| 5 | 7095 | 1817 |
| 0 | 8083 | 1817 |
| 0 | 20 | 100 |
| 0 | 27 | 100 |
| 1 | 90 | 100 |
| 2 | 638 | 81 |
| 0 | 9198 | 79 |
| 0 | 18 | 87 |
| 0 | 23 | 87 |
| 1 | 83 | 87 |
| 2 | 578 | 87 |
| 3 | 7902 | 87 |
| 0 | 8527 | 83 |
| 1× | done |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 237 to 146 computations (38.4% saved)
Compiled 326 to 114 computations (65% saved)
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