
Time bar (total: 5.4s)
| 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)
| 577.0ms | 8 256× | 0 | valid |
ival-mult: 200.0ms (66.2% of total)ival-sub: 44.0ms (14.6% of total)ival-add: 43.0ms (14.2% of total)ival-true: 6.0ms (2% of total)exact: 5.0ms (1.7% of total)ival-assert: 3.0ms (1% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 7 | 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 | 7 | 0 |
| ↳ | (*.f64 x y) | overflow | 39 | |
| ↳ | (*.f64 (-.f64 x #s(literal 1 binary64)) z) | overflow | 35 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 7 | 0 |
| - | 0 | 249 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 7 | 0 | 0 |
| - | 0 | 0 | 249 |
| number | freq |
|---|---|
| 0 | 249 |
| 1 | 7 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 38.0ms | 512× | 0 | valid |
Compiled 61 to 28 computations (54.1% saved)
ival-mult: 7.0ms (48.4% of total)ival-add: 4.0ms (27.7% of total)ival-sub: 3.0ms (20.7% of total)ival-true: 1.0ms (6.9% 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 |
|---|---|---|
| ▶ | 97.2% | (+.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 | 1.5546813074906176 | (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) |
| 139.0ms | 256× | 0 | valid |
Compiled 26 to 10 computations (61.5% saved)
ival-mult: 126.0ms (98% of total)ival-sub: 1.0ms (0.8% of total)ival-add: 1.0ms (0.8% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (+.f64 (*.f64 x 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 | |
|---|---|---|---|---|
| 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)) |
| 1.0ms | z | @ | 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 |
|---|---|---|
| 78.8% | (+.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))) |
| ▶ | 60.5% | #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) |
| ▶ | 63.0% | #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (+.f64 z y) x)) |
| ▶ | 42.5% | #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 y x)) |
| ▶ | 38.2% | #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 | 25.282465226157175 | #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) | |
| accuracy | 0 | (+.f64 z y) | |
| accuracy | 0.01171875 | (*.f64 (+.f64 z y) x) | |
| accuracy | 23.675101987559522 | #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (+.f64 z y) x)) | |
| accuracy | 0 | (*.f64 y x) | |
| accuracy | 36.81070953170039 | #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 y x)) | |
| accuracy | 0 | (neg.f64 z) | |
| accuracy | 39.537115290414235 | #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))) |
| 37.0ms | 256× | 0 | valid |
Compiled 93 to 15 computations (83.9% saved)
ival-mult: 7.0ms (40.8% of total)ival-neg: 4.0ms (23.3% of total)ival-sub: 3.0ms (17.5% of total)ival-add: 3.0ms (17.5% 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) |
(* 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)
9 alts after pruning (5 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 011 | 4 | 1 015 |
| Fresh | 0 | 1 | 1 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 012 | 9 | 1 021 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 78.8% | (+.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))) |
| ▶ | 60.5% | #s(approx (+ (* x y) (* (- x 1) z)) (-.f64 (*.f64 z x) z)) |
| ▶ | 40.9% | #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (-.f64 y z) x)) |
| ✓ | 63.0% | #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (+.f64 z y) x)) |
| ✓ | 42.5% | #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 y x)) |
| ✓ | 38.2% | #s(approx (+ (* x y) (* (- x 1) z)) (neg.f64 z)) |
| ▶ | 24.6% | #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 73 to 81 computations (-11% saved)
| 1× | egg-herbie |
Found 14 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| 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 y z) | |
| cost-diff | 0 | (*.f64 (-.f64 y z) x) | |
| cost-diff | 0 | #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (-.f64 y z) x)) | |
| 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) | |
| 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))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 21 | 124 |
| 0 | 28 | 124 |
| 1 | 43 | 124 |
| 2 | 58 | 124 |
| 3 | 93 | 116 |
| 4 | 160 | 116 |
| 5 | 256 | 116 |
| 6 | 426 | 116 |
| 7 | 647 | 116 |
| 8 | 778 | 116 |
| 9 | 804 | 116 |
| 10 | 824 | 116 |
| 11 | 831 | 116 |
| 12 | 833 | 116 |
| 0 | 833 | 115 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(+.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 |
#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 y z) x)) |
(*.f64 (-.f64 y z) x) |
(-.f64 y z) |
y |
z |
x |
#s(approx (+ (* x y) (* (- x 1) z)) (-.f64 (*.f64 z x) z)) |
(-.f64 (*.f64 z x) z) |
(*.f64 z x) |
z |
x |
| Outputs |
|---|
(+.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 |
#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 y z) x)) |
(*.f64 (-.f64 y z) x) |
(-.f64 y z) |
y |
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 |
Found 14 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (*.f64 z x) | |
| accuracy | 0.0078125 | (-.f64 (*.f64 z x) z) | |
| accuracy | 25.282465226157175 | #s(approx (+ (* x y) (* (- x 1) z)) (-.f64 (*.f64 z x) z)) | |
| accuracy | 0 | (-.f64 y z) | |
| accuracy | 0.00390625 | (*.f64 (-.f64 y z) x) | |
| accuracy | 37.849718437172875 | #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (-.f64 y z) x)) | |
| accuracy | 0 | (*.f64 z x) | |
| accuracy | 25.282465226157175 | #s(approx (+ (* x y) (* (- x 1) z)) #s(approx (* (- x 1) z) (*.f64 z x))) | |
| accuracy | 33.71364169155603 | #s(approx (* (- x 1) z) (*.f64 z x)) | |
| accuracy | 62.27369213063412 | #s(approx (+ (* x y) (* (- x 1) z)) z) | |
| accuracy | 0 | (*.f64 x y) | |
| accuracy | 0 | (neg.f64 z) | |
| accuracy | 1.5546813074906176 | (+.f64 (*.f64 x y) #s(approx (* (- x 1) z) (neg.f64 z))) | |
| accuracy | 28.869028447837895 | #s(approx (* (- x 1) z) (neg.f64 z)) |
| 32.0ms | 256× | 0 | valid |
Compiled 92 to 15 computations (83.7% saved)
ival-mult: 9.0ms (56.2% of total)ival-sub: 4.0ms (25% of total)ival-add: 1.0ms (6.2% of total)ival-neg: 1.0ms (6.2% 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) #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>) () ()) |
#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 y z) x)) (patch #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (-.f64 y z) x)) #<representation binary64>) () ()) |
#s(alt (*.f64 (-.f64 y z) x) (patch (*.f64 (-.f64 y z) x) #<representation binary64>) () ()) |
#s(alt (-.f64 y z) (patch (-.f64 y z) #<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>) () ()) |
| Outputs |
|---|
#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 (* 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 y z) x)) (patch #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (-.f64 y z) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x y) (* z (- x 1))) (taylor 0 z) (#s(alt #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (-.f64 y z) x)) (patch #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (-.f64 y z) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x y) (* z (- x 1))) (taylor 0 z) (#s(alt #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (-.f64 y z) x)) (patch #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (-.f64 y z) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x y) (* z (- x 1))) (taylor 0 z) (#s(alt #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (-.f64 y z) x)) (patch #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (-.f64 y z) x)) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 z) (#s(alt (*.f64 (-.f64 y z) x) (patch (*.f64 (-.f64 y z) x) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* x z)) (* x y)) (taylor 0 z) (#s(alt (*.f64 (-.f64 y z) x) (patch (*.f64 (-.f64 y z) x) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* x z)) (* x y)) (taylor 0 z) (#s(alt (*.f64 (-.f64 y z) x) (patch (*.f64 (-.f64 y z) x) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* x z)) (* x y)) (taylor 0 z) (#s(alt (*.f64 (-.f64 y z) x) (patch (*.f64 (-.f64 y z) x) #<representation binary64>) () ())) ()) |
#s(alt y (taylor 0 z) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (+ y (* -1 z)) (taylor 0 z) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (+ y (* -1 z)) (taylor 0 z) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (+ y (* -1 z)) (taylor 0 z) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<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 (* 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 (* 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 y z) x)) (patch #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (-.f64 y z) x)) #<representation binary64>) () ())) ()) |
#s(alt (* z (- (+ x (/ (* x y) z)) 1)) (taylor inf z) (#s(alt #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (-.f64 y z) x)) (patch #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (-.f64 y z) x)) #<representation binary64>) () ())) ()) |
#s(alt (* z (- (+ x (/ (* x y) z)) 1)) (taylor inf z) (#s(alt #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (-.f64 y z) x)) (patch #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (-.f64 y z) x)) #<representation binary64>) () ())) ()) |
#s(alt (* z (- (+ x (/ (* x y) z)) 1)) (taylor inf z) (#s(alt #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (-.f64 y z) x)) (patch #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (-.f64 y z) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x z)) (taylor inf z) (#s(alt (*.f64 (-.f64 y z) x) (patch (*.f64 (-.f64 y z) x) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (* -1 x) (/ (* x y) z))) (taylor inf z) (#s(alt (*.f64 (-.f64 y z) x) (patch (*.f64 (-.f64 y z) x) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (* -1 x) (/ (* x y) z))) (taylor inf z) (#s(alt (*.f64 (-.f64 y z) x) (patch (*.f64 (-.f64 y z) x) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (* -1 x) (/ (* x y) z))) (taylor inf z) (#s(alt (*.f64 (-.f64 y z) x) (patch (*.f64 (-.f64 y z) x) #<representation binary64>) () ())) ()) |
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#s(alt (* x y) (taylor inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
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#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>) () ())) ()) |
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#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 (+ y z)) (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 (* -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>) () ())) ()) |
#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>) () ())) ()) |
#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 (+ y (+ z (* -1 (/ z x))))) (taylor inf x) (#s(alt #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (-.f64 y z) x)) (patch #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (-.f64 y z) x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- y z)) (taylor inf x) (#s(alt (*.f64 (-.f64 y z) x) (patch (*.f64 (-.f64 y z) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (- y z)) (taylor inf x) (#s(alt (*.f64 (-.f64 y z) x) (patch (*.f64 (-.f64 y z) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (- y z)) (taylor inf x) (#s(alt (*.f64 (-.f64 y z) x) (patch (*.f64 (-.f64 y z) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (- y z)) (taylor inf x) (#s(alt (*.f64 (-.f64 y z) x) (patch (*.f64 (-.f64 y 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>) () ())) ()) |
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#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>) () ())) ()) |
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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)) z) (patch #s(approx (+ (* x y) (* (- x 1) z)) 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)) z) (patch #s(approx (+ (* x y) (* (- x 1) z)) 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>) () ())) ()) |
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#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 (- y z)) (taylor -inf x) (#s(alt (*.f64 (-.f64 y z) x) (patch (*.f64 (-.f64 y z) x) #<representation binary64>) () ())) ()) |
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#s(alt (* x (- y z)) (taylor -inf x) (#s(alt (*.f64 (-.f64 y z) x) (patch (*.f64 (-.f64 y z) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (- y z)) (taylor -inf x) (#s(alt (*.f64 (-.f64 y z) x) (patch (*.f64 (-.f64 y z) x) #<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 z x) z)) (patch #s(approx (+ (* x y) (* (- x 1) z)) (-.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 #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 (* -1 (* x (+ (* -1 z) (/ z x)))) (taylor -inf x) (#s(alt (-.f64 (*.f64 z x) z) (patch (-.f64 (*.f64 z x) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 z) (/ z x)))) (taylor -inf x) (#s(alt (-.f64 (*.f64 z x) z) (patch (-.f64 (*.f64 z x) z) #<representation binary64>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | ((+ (* x y) (* (- x 1) z)) (* x y) (* (- x 1) z) (neg z) (+ (* x y) (* (- x 1) z)) (+ (* x y) (* (- x 1) z)) (* (- x 1) z) (* z x) (+ (* x y) (* (- x 1) z)) (* (- y z) x) (- y z) (+ (* x y) (* (- x 1) z)) (- (* z x) z)) |
| 1.0ms | z | @ | -inf | ((+ (* x y) (* (- x 1) z)) (* x y) (* (- x 1) z) (neg z) (+ (* x y) (* (- x 1) z)) (+ (* x y) (* (- x 1) z)) (* (- x 1) z) (* z x) (+ (* x y) (* (- x 1) z)) (* (- y z) x) (- y z) (+ (* x y) (* (- x 1) z)) (- (* z x) z)) |
| 1.0ms | x | @ | inf | ((+ (* x y) (* (- x 1) z)) (* x y) (* (- x 1) z) (neg z) (+ (* x y) (* (- x 1) z)) (+ (* x y) (* (- x 1) z)) (* (- x 1) z) (* z x) (+ (* x y) (* (- x 1) z)) (* (- y z) x) (- y z) (+ (* x y) (* (- x 1) z)) (- (* z x) z)) |
| 1.0ms | x | @ | 0 | ((+ (* x y) (* (- x 1) z)) (* x y) (* (- x 1) z) (neg z) (+ (* x y) (* (- x 1) z)) (+ (* x y) (* (- x 1) z)) (* (- x 1) z) (* z x) (+ (* x y) (* (- x 1) z)) (* (- y z) x) (- y z) (+ (* x y) (* (- x 1) z)) (- (* z x) z)) |
| 1.0ms | z | @ | inf | ((+ (* x y) (* (- x 1) z)) (* x y) (* (- x 1) z) (neg z) (+ (* x y) (* (- x 1) z)) (+ (* x y) (* (- x 1) z)) (* (- x 1) z) (* z x) (+ (* x y) (* (- x 1) z)) (* (- y z) x) (- y z) (+ (* x y) (* (- x 1) z)) (- (* z x) z)) |
| 1× | egg-herbie |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 83 | 2226 |
| 1 | 283 | 1866 |
| 2 | 829 | 1866 |
| 3 | 2263 | 1866 |
| 4 | 4495 | 1866 |
| 5 | 6625 | 1866 |
| 6 | 7816 | 1866 |
| 0 | 8311 | 1866 |
| 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) |
(* 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))) |
(* x y) |
(+ (* -1 (* x z)) (* x y)) |
(+ (* -1 (* x z)) (* x y)) |
(+ (* -1 (* x z)) (* x y)) |
y |
(+ y (* -1 z)) |
(+ y (* -1 z)) |
(+ y (* -1 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 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)) |
(* -1 (* x z)) |
(* z (+ (* -1 x) (/ (* x y) z))) |
(* z (+ (* -1 x) (/ (* x y) z))) |
(* z (+ (* -1 x) (/ (* x y) z))) |
(* -1 z) |
(* z (- (/ y z) 1)) |
(* z (- (/ y z) 1)) |
(* z (- (/ 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)) |
(* 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)) |
(* -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 (* x z)) |
(* -1 (* z (+ x (* -1 (/ (* x y) z))))) |
(* -1 (* z (+ x (* -1 (/ (* x y) z))))) |
(* -1 (* z (+ x (* -1 (/ (* x y) z))))) |
(* -1 z) |
(* -1 (* z (+ 1 (* -1 (/ y z))))) |
(* -1 (* z (+ 1 (* -1 (/ y z))))) |
(* -1 (* z (+ 1 (* -1 (/ 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))))) |
(* -1 (* z (+ 1 (* -1 x)))) |
(* -1 (* z (+ 1 (* -1 x)))) |
(* -1 (* z (+ 1 (* -1 x)))) |
(* -1 (* z (+ 1 (* -1 x)))) |
(* 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))) |
(* 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))) |
(* -1 (* x z)) |
(+ (* -1 (* x z)) (* x y)) |
(+ (* -1 (* x z)) (* x y)) |
(+ (* -1 (* x z)) (* x y)) |
(* -1 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))) |
(* 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 (/ (* 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 (* -1 (/ (* x z) y)))) |
(* y (+ x (* -1 (/ (* x z) y)))) |
(* y (+ x (* -1 (/ (* x z) y)))) |
y |
(* y (+ 1 (* -1 (/ z y)))) |
(* y (+ 1 (* -1 (/ z y)))) |
(* y (+ 1 (* -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) |
(* -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 (/ (* 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) (/ (* x z) y)))) |
(* -1 (* y (+ (* -1 x) (/ (* x z) y)))) |
(* -1 (* y (+ (* -1 x) (/ (* x z) y)))) |
y |
(* -1 (* y (- (/ z y) 1))) |
(* -1 (* y (- (/ z y) 1))) |
(* -1 (* y (- (/ 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))))) |
(* -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 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))) |
(* 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) |
(- (* x z) z) |
(- (* x z) z) |
(- (* x z) z) |
(* 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 (+ 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 (- 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)))) |
(* -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)))) |
(* -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 (- 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)))) |
| 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) |
(* 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)) |
(* x y) |
(*.f64 y x) |
(+ (* -1 (* x z)) (* x y)) |
(*.f64 (-.f64 y z) x) |
(+ (* -1 (* x z)) (* x y)) |
(*.f64 (-.f64 y z) x) |
(+ (* -1 (* x z)) (* x y)) |
(*.f64 (-.f64 y z) x) |
y |
(+ y (* -1 z)) |
(-.f64 y z) |
(+ y (* -1 z)) |
(-.f64 y z) |
(+ y (* -1 z)) |
(-.f64 y 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) |
(* 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) |
(* 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)) |
(* -1 (* x z)) |
(*.f64 (neg.f64 x) z) |
(* z (+ (* -1 x) (/ (* x y) z))) |
(*.f64 (-.f64 y z) x) |
(* z (+ (* -1 x) (/ (* x y) z))) |
(*.f64 (-.f64 y z) x) |
(* z (+ (* -1 x) (/ (* x y) z))) |
(*.f64 (-.f64 y z) x) |
(* -1 z) |
(neg.f64 z) |
(* z (- (/ y z) 1)) |
(-.f64 y z) |
(* z (- (/ y z) 1)) |
(-.f64 y z) |
(* z (- (/ y z) 1)) |
(-.f64 y 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) |
(* -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) |
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(*.f64 (-.f64 y z) x) |
(* x (- y z)) |
(*.f64 (-.f64 y 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) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 21 | 110 |
| 0 | 28 | 110 |
| 1 | 100 | 110 |
| 2 | 699 | 110 |
| 0 | 8502 | 105 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.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) |
#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 y z) x)) |
(*.f64 (-.f64 y z) x) |
(-.f64 y z) |
#s(approx (+ (* x y) (* (- x 1) z)) (-.f64 (*.f64 z x) z)) |
(-.f64 (*.f64 z x) z) |
| Outputs |
|---|
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Compiled 9 102 to 1 123 computations (87.7% saved)
8 alts after pruning (1 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 713 | 1 | 714 |
| Fresh | 0 | 0 | 0 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 4 | 4 |
| Total | 715 | 8 | 723 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 78.8% | (fma.f64 y x #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))) |
| ✓ | 60.5% | #s(approx (+ (* x y) (* (- x 1) z)) (-.f64 (*.f64 z x) z)) |
| ✓ | 63.0% | #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (+.f64 z y) x)) |
| ✓ | 42.5% | #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 y x)) |
| ✓ | 38.2% | #s(approx (+ (* x y) (* (- x 1) z)) (neg.f64 z)) |
| ✓ | 24.6% | #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 40 to 45 computations (-12.5% 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 | 0.7538979928166806 | (fma.f64 y x #s(approx (* (- x 1) z) (neg.f64 z))) | |
| accuracy | 28.869028447837895 | #s(approx (* (- x 1) z) (neg.f64 z)) |
| 15.0ms | 256× | 0 | valid |
Compiled 21 to 11 computations (47.6% saved)
ival-mult: 4.0ms (53.7% of total)ival-sub: 1.0ms (13.4% of total)ival-add: 1.0ms (13.4% of total)ival-neg: 1.0ms (13.4% 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 |
|---|
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Compiled 5 449 to 541 computations (90.1% saved)
8 alts after pruning (0 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 236 | 0 | 236 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 7 | 7 |
| Total | 236 | 8 | 244 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 78.8% | (fma.f64 y x #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))) |
| ✓ | 60.5% | #s(approx (+ (* x y) (* (- x 1) z)) (-.f64 (*.f64 z x) z)) |
| ✓ | 63.0% | #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (+.f64 z y) x)) |
| ✓ | 42.5% | #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 y x)) |
| ✓ | 38.2% | #s(approx (+ (* x y) (* (- x 1) z)) (neg.f64 z)) |
| ✓ | 24.6% | #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 108 to 75 computations (30.6% 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 y z) x)) |
#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:
| 6.0ms | z |
| 4.0ms | x |
| 4.0ms | y |
| 4.0ms | (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) |
| 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 y z) x)) |
#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:
| 6.0ms | z |
| 5.0ms | y |
| 4.0ms | x |
| 4.0ms | (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.8% | 3 | x |
| 92.8% | 3 | y |
| 89.6% | 3 | z |
| 89.8% | 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 y z) x)) |
#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 y z) x)) |
#s(approx (+ (* x y) (* (- x 1) z)) (neg.f64 z)) |
#s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (+.f64 z y) x)) |
4 calls:
| 18.0ms | z |
| 3.0ms | y |
| 3.0ms | x |
| 3.0ms | (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 82.5% | 3 | z |
| 74.9% | 3 | (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) |
| 81.5% | 3 | y |
| 86.8% | 5 | 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)) |
#s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (-.f64 y z) x)) |
| 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 y z) x)) |
#s(approx (+ (* x y) (* (- x 1) z)) (neg.f64 z)) |
#s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (+.f64 z y) x)) |
1 calls:
| 3.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 86.8% | 5 | x |
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)) |
#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 y x)) |
#s(approx (+ (* x y) (* (- x 1) z)) (neg.f64 z)) |
#s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (+.f64 z y) x)) |
1 calls:
| 3.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 86.8% | 5 | x |
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 y x)) |
#s(approx (+ (* x y) (* (- x 1) z)) (neg.f64 z)) |
#s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (+.f64 z y) x)) |
1 calls:
| 3.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 86.3% | 5 | x |
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)) |
| 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)) |
#s(approx (+ (* x y) (* (- x 1) z)) #s(approx (* (- x 1) z) (*.f64 z x))) |
4 calls:
| 18.0ms | y |
| 2.0ms | z |
| 2.0ms | x |
| 2.0ms | (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 54.4% | 3 | (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) |
| 63.6% | 5 | y |
| 62.6% | 4 | z |
| 66.5% | 4 | 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 | x |
| 2.0ms | z |
| 2.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 41.7% | 3 | y |
| 40.1% | 2 | z |
| 59.4% | 3 | x |
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)) |
4 calls:
| 4.0ms | x |
| 2.0ms | y |
| 2.0ms | (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) |
| 2.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 38.2% | 1 | z |
| 38.2% | 1 | y |
| 38.2% | 1 | (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) |
| 38.2% | 1 | x |
Compiled 12 to 17 computations (-41.7% 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 | y |
| 1.0ms | x |
| 1.0ms | z |
| 1.0ms | (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 2.7% | 1 | y |
| 2.7% | 1 | x |
| 2.7% | 1 | (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) |
| 2.7% | 1 | z |
Compiled 12 to 17 computations (-41.7% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 42.0ms | 0.001428594623308831 | 1493102344442.7588 |
| 11.0ms | -1414.361909237017 | -0.12484182352550047 |
| 14.0ms | 288× | 0 | valid |
Compiled 228 to 266 computations (-16.7% saved)
ival-mult: 4.0ms (58.3% of total)ival-sub: 1.0ms (14.6% of total)ival-add: 1.0ms (14.6% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 4× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 7.0ms | 6.694384113667114e-46 | 1.713914318322814e-45 |
| 29.0ms | 1.1427209473870402e-98 | 1.3449577836523578e-86 |
| 5.0ms | 1.1462492407292346e-240 | 2.093750602031745e-240 |
| 11.0ms | -789670.3916820851 | -1414.361909237017 |
| 21.0ms | 432× | 0 | valid |
Compiled 291 to 377 computations (-29.6% saved)
ival-mult: 6.0ms (55.4% of total)ival-sub: 2.0ms (18.5% of total)ival-add: 2.0ms (18.5% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 4× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 6.694384113667114e-46 | 1.713914318322814e-45 |
| 1.0ms | 1.1427209473870402e-98 | 1.3449577836523578e-86 |
| 0.0ms | 1.1462492407292346e-240 | 2.093750602031745e-240 |
| 1.0ms | -789670.3916820851 | -1414.361909237017 |
Compiled 291 to 389 computations (-33.7% saved)
| 4× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 6.694384113667114e-46 | 1.713914318322814e-45 |
| 14.0ms | 1.1427209473870402e-98 | 1.3449577836523578e-86 |
| 0.0ms | 1.1462492407292346e-240 | 2.093750602031745e-240 |
| 1.0ms | -789670.3916820851 | -1414.361909237017 |
| 11.0ms | 64× | 0 | valid |
Compiled 263 to 375 computations (-42.6% saved)
ival-add: 8.0ms (82.3% of total)ival-mult: 1.0ms (10.3% of total)ival-sub: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 4× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 6.694384113667114e-46 | 1.713914318322814e-45 |
| 1.0ms | 1.1427209473870402e-98 | 1.3449577836523578e-86 |
| 0.0ms | 1.1462492407292346e-240 | 2.093750602031745e-240 |
| 11.0ms | -3.6597963543639855e-6 | -1.4084588435967657e-8 |
| 6.0ms | 128× | 0 | valid |
Compiled 227 to 351 computations (-54.6% saved)
ival-mult: 2.0ms (62% of total)ival-sub: 1.0ms (31% of total)ival-add: 1.0ms (31% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 3× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 18.0ms | 3.032718926494493e+134 | 6.8483887218238e+153 |
| 0.0ms | 1.1462492407292346e-240 | 2.093750602031745e-240 |
| 1.0ms | -3.6597963543639855e-6 | -1.4084588435967657e-8 |
| 9.0ms | 176× | 0 | valid |
Compiled 195 to 301 computations (-54.4% saved)
ival-mult: 2.0ms (45.6% of total)ival-sub: 1.0ms (22.8% of total)ival-add: 1.0ms (22.8% 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 | 0.001428594623308831 | 1493102344442.7588 |
| 1.0ms | -1414.361909237017 | -0.12484182352550047 |
Compiled 156 to 248 computations (-59% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 66 | 561 |
| 1 | 81 | 561 |
| 2 | 88 | 561 |
| 3 | 94 | 561 |
| 1× | saturated |
| Inputs |
|---|
#s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 (+.f64 z y) x (neg.f64 z))) |
(if (<=.f64 x #s(literal -1 binary64)) #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (+.f64 z y) x)) (if (<=.f64 x #s(literal 1 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 x #s(literal -1450 binary64)) #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (+.f64 z y) x)) (if (<=.f64 x #s(literal 3847602374762409/1876879207201175057492789423877314215327939898387375884169474847690657890654807926986852549645082845212138504796176365654795672666575560815440365226659976290009931730647725644334157087472286353079994941979475656538582584761171154279816153471809899416518656 binary64)) #s(approx (+ (* x y) (* (- x 1) z)) (-.f64 (*.f64 z x) z)) (if (<=.f64 x #s(literal 7849618421937963/76957043352332967211482500195592995713046365762627825523336510555167425334955489475418488779072100860950445293568 binary64)) #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (-.f64 y z) x)) (if (<=.f64 x #s(literal 145628760260971/100433627766186892221372630771322662657637687111424552206336 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 x #s(literal -1450 binary64)) #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (+.f64 z y) x)) (if (<=.f64 x #s(literal 3847602374762409/1876879207201175057492789423877314215327939898387375884169474847690657890654807926986852549645082845212138504796176365654795672666575560815440365226659976290009931730647725644334157087472286353079994941979475656538582584761171154279816153471809899416518656 binary64)) #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) (if (<=.f64 x #s(literal 7849618421937963/76957043352332967211482500195592995713046365762627825523336510555167425334955489475418488779072100860950445293568 binary64)) #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (-.f64 y z) x)) (if (<=.f64 x #s(literal 145628760260971/100433627766186892221372630771322662657637687111424552206336 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 x #s(literal -1450 binary64)) #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (+.f64 z y) x)) (if (<=.f64 x #s(literal 3847602374762409/1876879207201175057492789423877314215327939898387375884169474847690657890654807926986852549645082845212138504796176365654795672666575560815440365226659976290009931730647725644334157087472286353079994941979475656538582584761171154279816153471809899416518656 binary64)) #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) (if (<=.f64 x #s(literal 2462625387274655/38478521676166483605741250097796497856523182881313912761668255277583712667477744737709244389536050430475222646784 binary64)) #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 y x)) (if (<=.f64 x #s(literal 145628760260971/100433627766186892221372630771322662657637687111424552206336 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 x #s(literal -8583373319263867/604462909807314587353088 binary64)) #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (+.f64 z y) x)) (if (<=.f64 x #s(literal 3847602374762409/1876879207201175057492789423877314215327939898387375884169474847690657890654807926986852549645082845212138504796176365654795672666575560815440365226659976290009931730647725644334157087472286353079994941979475656538582584761171154279816153471809899416518656 binary64)) #s(approx (+ (* x y) (* (- x 1) z)) (neg.f64 z)) (if (<=.f64 x #s(literal 2462625387274655/38478521676166483605741250097796497856523182881313912761668255277583712667477744737709244389536050430475222646784 binary64)) #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 y x)) (if (<=.f64 x #s(literal 145628760260971/100433627766186892221372630771322662657637687111424552206336 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 x #s(literal -8583373319263867/604462909807314587353088 binary64)) #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 y x)) (if (<=.f64 x #s(literal 3847602374762409/1876879207201175057492789423877314215327939898387375884169474847690657890654807926986852549645082845212138504796176365654795672666575560815440365226659976290009931730647725644334157087472286353079994941979475656538582584761171154279816153471809899416518656 binary64)) #s(approx (+ (* x y) (* (- x 1) z)) (neg.f64 z)) (if (<=.f64 x #s(literal 2550000000000000051071094830361252656493479620377936396008157360399188574824282773927462700563578394856159726821239078478292653306180895929002826399744 binary64)) #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 y x)) #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)) #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 -1 binary64)) #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (+.f64 z y) x)) (if (<=.f64 x #s(literal 1 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 x #s(literal -1450 binary64)) #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (+.f64 z y) x)) (if (<=.f64 x #s(literal 3847602374762409/1876879207201175057492789423877314215327939898387375884169474847690657890654807926986852549645082845212138504796176365654795672666575560815440365226659976290009931730647725644334157087472286353079994941979475656538582584761171154279816153471809899416518656 binary64)) #s(approx (+ (* x y) (* (- x 1) z)) (-.f64 (*.f64 z x) z)) (if (<=.f64 x #s(literal 7849618421937963/76957043352332967211482500195592995713046365762627825523336510555167425334955489475418488779072100860950445293568 binary64)) #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (-.f64 y z) x)) (if (<=.f64 x #s(literal 145628760260971/100433627766186892221372630771322662657637687111424552206336 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 x #s(literal -1450 binary64)) #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (+.f64 z y) x)) (if (<=.f64 x #s(literal 3847602374762409/1876879207201175057492789423877314215327939898387375884169474847690657890654807926986852549645082845212138504796176365654795672666575560815440365226659976290009931730647725644334157087472286353079994941979475656538582584761171154279816153471809899416518656 binary64)) #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) (if (<=.f64 x #s(literal 7849618421937963/76957043352332967211482500195592995713046365762627825523336510555167425334955489475418488779072100860950445293568 binary64)) #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (-.f64 y z) x)) (if (<=.f64 x #s(literal 145628760260971/100433627766186892221372630771322662657637687111424552206336 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 x #s(literal -1450 binary64)) #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (+.f64 z y) x)) (if (<=.f64 x #s(literal 3847602374762409/1876879207201175057492789423877314215327939898387375884169474847690657890654807926986852549645082845212138504796176365654795672666575560815440365226659976290009931730647725644334157087472286353079994941979475656538582584761171154279816153471809899416518656 binary64)) #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) (if (<=.f64 x #s(literal 2462625387274655/38478521676166483605741250097796497856523182881313912761668255277583712667477744737709244389536050430475222646784 binary64)) #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 y x)) (if (<=.f64 x #s(literal 145628760260971/100433627766186892221372630771322662657637687111424552206336 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 x #s(literal -8583373319263867/604462909807314587353088 binary64)) #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (+.f64 z y) x)) (if (<=.f64 x #s(literal 3847602374762409/1876879207201175057492789423877314215327939898387375884169474847690657890654807926986852549645082845212138504796176365654795672666575560815440365226659976290009931730647725644334157087472286353079994941979475656538582584761171154279816153471809899416518656 binary64)) #s(approx (+ (* x y) (* (- x 1) z)) (neg.f64 z)) (if (<=.f64 x #s(literal 2462625387274655/38478521676166483605741250097796497856523182881313912761668255277583712667477744737709244389536050430475222646784 binary64)) #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 y x)) (if (<=.f64 x #s(literal 145628760260971/100433627766186892221372630771322662657637687111424552206336 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 x #s(literal -8583373319263867/604462909807314587353088 binary64)) #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 y x)) (if (<=.f64 x #s(literal 3847602374762409/1876879207201175057492789423877314215327939898387375884169474847690657890654807926986852549645082845212138504796176365654795672666575560815440365226659976290009931730647725644334157087472286353079994941979475656538582584761171154279816153471809899416518656 binary64)) #s(approx (+ (* x y) (* (- x 1) z)) (neg.f64 z)) (if (<=.f64 x #s(literal 2550000000000000051071094830361252656493479620377936396008157360399188574824282773927462700563578394856159726821239078478292653306180895929002826399744 binary64)) #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 y x)) #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)) #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 | 20 | 100 |
| 0 | 27 | 100 |
| 1 | 90 | 100 |
| 2 | 638 | 81 |
| 0 | 9198 | 79 |
| 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 | 21 | 110 |
| 0 | 28 | 110 |
| 1 | 100 | 110 |
| 2 | 699 | 110 |
| 0 | 8502 | 105 |
| 1× | done |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 385 to 221 computations (42.6% saved)
Compiled 524 to 140 computations (73.3% saved)
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