
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)
| 790.0ms | 8 256× | 0 | valid |
ival-mult: 186.0ms (60.1% of total)ival-add: 67.0ms (21.6% of total)ival-sub: 42.0ms (13.6% of total)ival-true: 6.0ms (1.9% of total)exact: 5.0ms (1.6% of total)ival-assert: 3.0ms (1% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 6 | 7 | (7.056459884707258e+280 -7.0681184680879554e+56 -1.1763139302415622e+267) | 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 | 13 | 0 |
| ↳ | (*.f64 x y) | overflow | 34 | |
| ↳ | (*.f64 (-.f64 x #s(literal 1 binary64)) z) | overflow | 37 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 6 | 0 |
| - | 7 | 243 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 6 | 0 | 0 |
| - | 7 | 0 | 243 |
| number | freq |
|---|---|
| 0 | 243 |
| 1 | 13 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 32.0ms | 512× | 0 | valid |
Compiled 133 to 64 computations (51.9% saved)
ival-mult: 7.0ms (48.3% of total)ival-sub: 4.0ms (27.6% of total)ival-add: 2.0ms (13.8% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 90 |
| 1 | 80 | 83 |
| 2 | 178 | 81 |
| 3 | 482 | 66 |
| 4 | 1083 | 64 |
| 5 | 1866 | 64 |
| 6 | 2292 | 64 |
| 7 | 2354 | 64 |
| 8 | 2362 | 64 |
| 9 | 2362 | 64 |
| 0 | 8 | 9 |
| 0 | 12 | 9 |
| 1 | 20 | 9 |
| 2 | 27 | 9 |
| 3 | 39 | 7 |
| 4 | 50 | 7 |
| 5 | 68 | 7 |
| 6 | 111 | 7 |
| 7 | 182 | 7 |
| 8 | 370 | 7 |
| 9 | 580 | 7 |
| 10 | 670 | 7 |
| 11 | 680 | 7 |
| 0 | 680 | 7 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) |
| Outputs |
|---|
(+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
Compiled 9 to 8 computations (11.1% saved)
Compiled 0 to 3 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 97.6% | (+.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 | 1.3124958716604118 | (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) |
| 16.0ms | 256× | 0 | valid |
Compiled 50 to 18 computations (64% saved)
ival-mult: 5.0ms (63.5% of total)ival-sub: 1.0ms (12.7% of total)ival-add: 1.0ms (12.7% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (+.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 | 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 | 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)
7 alts after pruning (7 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 367 | 7 | 374 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 368 | 7 | 375 |
| Status | Accuracy | Program |
|---|---|---|
| 63.6% | (+.f64 (*.f64 x y) #s(approx (* (- x 1) z) (*.f64 z x))) | |
| 73.7% | (+.f64 (*.f64 x y) #s(approx (* (- x 1) z) (neg.f64 z))) | |
| ▶ | 100.0% | #s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 (+.f64 z y) x (neg.f64 z))) |
| ▶ | 62.5% | #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) |
| ▶ | 66.0% | #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (+.f64 z y) x)) |
| ▶ | 40.4% | #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 y x)) |
| ▶ | 35.7% | #s(approx (+ (* x y) (* (- x 1) z)) (neg.f64 z)) |
Compiled 84 to 88 computations (-4.8% 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 | 620 | 107 |
| 7 | 803 | 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))) |
#s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 x (+.f64 y z) (neg.f64 z))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(fma.f64 x (+.f64 y z) (neg.f64 z)) |
(+.f64 z y) |
(+.f64 y z) |
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)) |
#s(approx (+ (* x y) (* (- x 1) z)) (*.f64 x y)) |
(*.f64 y x) |
(*.f64 x y) |
y |
x |
#s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (+.f64 z y) x)) |
#s(approx (+ (* x y) (* (- x 1) z)) (*.f64 x (+.f64 y z))) |
(*.f64 (+.f64 z y) x) |
(*.f64 x (+.f64 y z)) |
(+.f64 z y) |
(+.f64 y z) |
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 | 24.01918850699642 | #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) | |
| accuracy | 0 | (+.f64 z y) | |
| accuracy | 0.0234375 | (*.f64 (+.f64 z y) x) | |
| accuracy | 21.762248019246197 | #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (+.f64 z y) x)) | |
| accuracy | 0 | (*.f64 y x) | |
| accuracy | 38.160857106900075 | #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 y x)) | |
| accuracy | 0 | (neg.f64 z) | |
| accuracy | 41.17921328296199 | #s(approx (+ (* x y) (* (- x 1) z)) (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))) | |
| accuracy | 0.01953125 | (fma.f64 (+.f64 z y) x (neg.f64 z)) |
| 117.0ms | 256× | 0 | valid |
Compiled 165 to 31 computations (81.2% saved)
ival-add: 95.0ms (91.1% of total)ival-mult: 7.0ms (6.7% of total)ival-sub: 1.0ms (1% of total)ival-neg: 1.0ms (1% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt #s(approx (+ (* 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>) () ())) ()) |
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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 | |
|---|---|---|---|---|
| 102.0ms | 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)) |
| 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 | z | @ | -inf | ((+ (* x y) (* (- x 1) z)) (+ (* (+ z y) x) (neg z)) (+ z y) (neg z) (+ (* x y) (* (- x 1) z)) (+ (* x y) (* (- x 1) z)) (* y x) (+ (* x y) (* (- x 1) z)) (* (+ z y) x) (+ (* x y) (* (- x 1) z)) (* (- x 1) z) (- x 1)) |
| 1.0ms | z | @ | inf | ((+ (* x y) (* (- x 1) z)) (+ (* (+ z y) x) (neg z)) (+ z y) (neg z) (+ (* x y) (* (- x 1) z)) (+ (* x y) (* (- x 1) z)) (* y x) (+ (* x y) (* (- x 1) z)) (* (+ z y) x) (+ (* x y) (* (- x 1) z)) (* (- x 1) z) (- x 1)) |
| 1.0ms | y | @ | -inf | ((+ (* x y) (* (- x 1) z)) (+ (* (+ z y) x) (neg z)) (+ z y) (neg z) (+ (* x y) (* (- x 1) z)) (+ (* x y) (* (- x 1) z)) (* y x) (+ (* x y) (* (- x 1) z)) (* (+ z y) x) (+ (* x y) (* (- x 1) z)) (* (- x 1) z) (- x 1)) |
| 1× | egg-herbie |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 100 | 2141 |
| 1 | 346 | 1817 |
| 2 | 1017 | 1817 |
| 3 | 2559 | 1817 |
| 4 | 5278 | 1817 |
| 5 | 7095 | 1817 |
| 0 | 8083 | 1817 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* x y) |
(+ (* x y) (* z (- x 1))) |
(+ (* x y) (* z (- x 1))) |
(+ (* x y) (* z (- x 1))) |
(* x y) |
(+ (* x y) (* z (- x 1))) |
(+ (* x y) (* z (- x 1))) |
(+ (* x y) (* z (- x 1))) |
y |
(+ y z) |
(+ y z) |
(+ y z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* x y) |
(+ (* x y) (* z (- x 1))) |
(+ (* x y) (* z (- x 1))) |
(+ (* x y) (* z (- x 1))) |
(* x y) |
(+ (* x y) (* z (- x 1))) |
(+ (* x y) (* z (- x 1))) |
(+ (* x y) (* z (- x 1))) |
(* x y) |
(+ (* x y) (* z (- x 1))) |
(+ (* x y) (* z (- x 1))) |
(+ (* x y) (* z (- x 1))) |
(* x y) |
(+ (* x y) (* x z)) |
(+ (* x y) (* x z)) |
(+ (* x y) (* x z)) |
(* x y) |
(+ (* x y) (* z (- x 1))) |
(+ (* x y) (* z (- x 1))) |
(+ (* x y) (* z (- x 1))) |
(* z (- x 1)) |
(* z (- x 1)) |
(* z (- x 1)) |
(* z (- x 1)) |
(* z (- x 1)) |
(* z (- (+ x (/ (* x y) z)) 1)) |
(* z (- (+ x (/ (* x y) z)) 1)) |
(* z (- (+ x (/ (* x y) z)) 1)) |
(* z (- x 1)) |
(* z (- (+ x (/ (* x y) z)) 1)) |
(* z (- (+ x (/ (* x y) z)) 1)) |
(* z (- (+ x (/ (* x y) z)) 1)) |
z |
(* z (+ 1 (/ y z))) |
(* z (+ 1 (/ y z))) |
(* z (+ 1 (/ y z))) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* z (- x 1)) |
(* z (- (+ x (/ (* x y) z)) 1)) |
(* z (- (+ x (/ (* x y) z)) 1)) |
(* z (- (+ x (/ (* x y) z)) 1)) |
(* z (- x 1)) |
(* z (- (+ x (/ (* x y) z)) 1)) |
(* z (- (+ x (/ (* x y) z)) 1)) |
(* z (- (+ x (/ (* x y) z)) 1)) |
(* z (- x 1)) |
(* z (- (+ x (/ (* x y) z)) 1)) |
(* z (- (+ x (/ (* x y) z)) 1)) |
(* z (- (+ x (/ (* x y) z)) 1)) |
(* x z) |
(* z (+ x (/ (* x y) z))) |
(* z (+ x (/ (* x y) z))) |
(* z (+ x (/ (* x y) z))) |
(* z (- x 1)) |
(* z (- (+ x (/ (* x y) z)) 1)) |
(* z (- (+ x (/ (* x y) z)) 1)) |
(* z (- (+ x (/ (* x y) z)) 1)) |
(* z (- x 1)) |
(* z (- x 1)) |
(* z (- x 1)) |
(* z (- x 1)) |
(* z (- x 1)) |
(* -1 (* z (+ (* -1 (- x 1)) (* -1 (/ (* x y) z))))) |
(* -1 (* z (+ (* -1 (- x 1)) (* -1 (/ (* x y) z))))) |
(* -1 (* z (+ (* -1 (- x 1)) (* -1 (/ (* x y) z))))) |
(* -1 (* z (+ 1 (* -1 x)))) |
(* -1 (* z (+ 1 (+ (* -1 x) (* -1 (/ (* x y) z)))))) |
(* -1 (* z (+ 1 (+ (* -1 x) (* -1 (/ (* x y) z)))))) |
(* -1 (* z (+ 1 (+ (* -1 x) (* -1 (/ (* x y) z)))))) |
z |
(* -1 (* z (- (* -1 (/ y z)) 1))) |
(* -1 (* z (- (* -1 (/ y z)) 1))) |
(* -1 (* z (- (* -1 (/ y z)) 1))) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* z (- x 1)) |
(* -1 (* z (+ (* -1 (- x 1)) (* -1 (/ (* x y) z))))) |
(* -1 (* z (+ (* -1 (- x 1)) (* -1 (/ (* x y) z))))) |
(* -1 (* z (+ (* -1 (- x 1)) (* -1 (/ (* x y) z))))) |
(* z (- x 1)) |
(* -1 (* z (+ (* -1 (- x 1)) (* -1 (/ (* x y) z))))) |
(* -1 (* z (+ (* -1 (- x 1)) (* -1 (/ (* x y) z))))) |
(* -1 (* z (+ (* -1 (- x 1)) (* -1 (/ (* x y) z))))) |
(* z (- x 1)) |
(* -1 (* z (+ (* -1 (- x 1)) (* -1 (/ (* x y) z))))) |
(* -1 (* z (+ (* -1 (- x 1)) (* -1 (/ (* x y) z))))) |
(* -1 (* z (+ (* -1 (- x 1)) (* -1 (/ (* x y) z))))) |
(* x z) |
(* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z))))) |
(* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z))))) |
(* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z))))) |
(* z (- x 1)) |
(* -1 (* z (+ (* -1 (- x 1)) (* -1 (/ (* x y) z))))) |
(* -1 (* z (+ (* -1 (- x 1)) (* -1 (/ (* x y) z))))) |
(* -1 (* z (+ (* -1 (- x 1)) (* -1 (/ (* x y) z))))) |
(* z (- x 1)) |
(* z (- x 1)) |
(* z (- x 1)) |
(* z (- x 1)) |
(* z (- x 1)) |
(+ (* x y) (* z (- x 1))) |
(+ (* x y) (* z (- x 1))) |
(+ (* x y) (* z (- x 1))) |
(- (* x z) z) |
(- (+ (* x y) (* x z)) z) |
(- (+ (* x y) (* x z)) z) |
(- (+ (* x y) (* x z)) z) |
z |
(+ y z) |
(+ y z) |
(+ y z) |
(* z (- x 1)) |
(+ (* x y) (* z (- x 1))) |
(+ (* x y) (* z (- x 1))) |
(+ (* x y) (* z (- x 1))) |
(* z (- x 1)) |
(+ (* x y) (* z (- x 1))) |
(+ (* x y) (* z (- x 1))) |
(+ (* x y) (* z (- x 1))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* z (- x 1)) |
(+ (* x y) (* z (- x 1))) |
(+ (* x y) (* z (- x 1))) |
(+ (* x y) (* z (- x 1))) |
(* x z) |
(+ (* x y) (* x z)) |
(+ (* x y) (* x z)) |
(+ (* x y) (* x z)) |
(* z (- x 1)) |
(+ (* x y) (* z (- x 1))) |
(+ (* x y) (* z (- x 1))) |
(+ (* x y) (* z (- x 1))) |
(* x y) |
(* y (+ x (/ (* z (- x 1)) y))) |
(* y (+ x (/ (* z (- x 1)) y))) |
(* y (+ x (/ (* z (- x 1)) y))) |
(* x y) |
(* y (- (+ x (/ (* x z) y)) (/ z y))) |
(* y (- (+ x (/ (* x z) y)) (/ z y))) |
(* y (- (+ x (/ (* x z) y)) (/ z y))) |
y |
(* y (+ 1 (/ z y))) |
(* y (+ 1 (/ z y))) |
(* y (+ 1 (/ z y))) |
(* x y) |
(* y (+ x (/ (* z (- x 1)) y))) |
(* y (+ x (/ (* z (- x 1)) y))) |
(* y (+ x (/ (* z (- x 1)) y))) |
(* x y) |
(* y (+ x (/ (* z (- x 1)) y))) |
(* y (+ x (/ (* z (- x 1)) y))) |
(* y (+ x (/ (* z (- x 1)) y))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* y (+ x (/ (* z (- x 1)) y))) |
(* y (+ x (/ (* z (- x 1)) y))) |
(* y (+ x (/ (* z (- x 1)) y))) |
(* x y) |
(* y (+ x (/ (* x z) y))) |
(* y (+ x (/ (* x z) y))) |
(* y (+ x (/ (* x z) y))) |
(* x y) |
(* y (+ x (/ (* z (- x 1)) y))) |
(* y (+ x (/ (* z (- x 1)) y))) |
(* y (+ x (/ (* z (- x 1)) y))) |
(* x y) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- x 1)) y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- x 1)) y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- x 1)) y))))) |
(* x y) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (- (* x z) z) y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (- (* x z) z) y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (- (* x z) z) y))))) |
y |
(* -1 (* y (- (* -1 (/ z y)) 1))) |
(* -1 (* y (- (* -1 (/ z y)) 1))) |
(* -1 (* y (- (* -1 (/ z y)) 1))) |
(* x y) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- x 1)) y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- x 1)) y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- x 1)) y))))) |
(* x y) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- x 1)) y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- x 1)) y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- x 1)) y))))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- x 1)) y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- x 1)) y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- x 1)) y))))) |
(* x y) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y))))) |
(* x y) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- x 1)) y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- x 1)) y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- x 1)) y))))) |
(* -1 z) |
(+ (* -1 z) (* x (+ y z))) |
(+ (* -1 z) (* x (+ y z))) |
(+ (* -1 z) (* x (+ y z))) |
(* -1 z) |
(- (* x (+ y z)) z) |
(- (* x (+ y z)) z) |
(- (* x (+ y z)) z) |
(* -1 z) |
(+ (* -1 z) (* x (+ y z))) |
(+ (* -1 z) (* x (+ y z))) |
(+ (* -1 z) (* x (+ y z))) |
(* -1 z) |
(+ (* -1 z) (* x (+ y z))) |
(+ (* -1 z) (* x (+ y z))) |
(+ (* -1 z) (* x (+ y z))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* -1 z) |
(+ (* -1 z) (* x (+ y z))) |
(+ (* -1 z) (* x (+ y z))) |
(+ (* -1 z) (* x (+ y z))) |
(* x (+ y z)) |
(* x (+ y z)) |
(* x (+ y z)) |
(* x (+ y z)) |
(* -1 z) |
(+ (* -1 z) (* x (+ y z))) |
(+ (* -1 z) (* x (+ y z))) |
(+ (* -1 z) (* x (+ y z))) |
(* -1 z) |
(+ (* -1 z) (* x z)) |
(+ (* -1 z) (* x z)) |
(+ (* -1 z) (* x z)) |
-1 |
(- x 1) |
(- x 1) |
(- x 1) |
(* x (+ y z)) |
(* x (+ y (+ z (* -1 (/ z x))))) |
(* x (+ y (+ z (* -1 (/ z x))))) |
(* x (+ y (+ z (* -1 (/ z x))))) |
(* x (+ y z)) |
(* x (+ y (+ z (* -1 (/ z x))))) |
(* x (+ y (+ z (* -1 (/ z x))))) |
(* x (+ y (+ z (* -1 (/ z x))))) |
(* x (+ y z)) |
(* x (+ y (+ z (* -1 (/ z x))))) |
(* x (+ y (+ z (* -1 (/ z x))))) |
(* x (+ y (+ z (* -1 (/ z x))))) |
(* x (+ y z)) |
(* x (+ y (+ z (* -1 (/ z x))))) |
(* x (+ y (+ z (* -1 (/ z x))))) |
(* x (+ y (+ z (* -1 (/ z x))))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x (+ y z)) |
(* x (+ y (+ z (* -1 (/ z x))))) |
(* x (+ y (+ z (* -1 (/ z x))))) |
(* x (+ y (+ z (* -1 (/ z x))))) |
(* x (+ y z)) |
(* x (+ y z)) |
(* x (+ y z)) |
(* x (+ y z)) |
(* x (+ y z)) |
(* x (+ y (+ z (* -1 (/ z x))))) |
(* x (+ y (+ z (* -1 (/ z x))))) |
(* x (+ y (+ z (* -1 (/ z x))))) |
(* x z) |
(* x (+ z (* -1 (/ z x)))) |
(* x (+ z (* -1 (/ z x)))) |
(* x (+ z (* -1 (/ z x)))) |
x |
(* x (- 1 (/ 1 x))) |
(* x (- 1 (/ 1 x))) |
(* x (- 1 (/ 1 x))) |
(* -1 (* x (+ (* -1 y) (* -1 z)))) |
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x))))) |
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x))))) |
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x))))) |
(* x (+ y z)) |
(* -1 (* x (+ (* -1 (+ y z)) (/ z x)))) |
(* -1 (* x (+ (* -1 (+ y z)) (/ z x)))) |
(* -1 (* x (+ (* -1 (+ y z)) (/ z x)))) |
(* -1 (* x (+ (* -1 y) (* -1 z)))) |
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x))))) |
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x))))) |
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x))))) |
(* -1 (* x (+ (* -1 y) (* -1 z)))) |
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x))))) |
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x))))) |
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x))))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* -1 (* x (+ (* -1 y) (* -1 z)))) |
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x))))) |
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x))))) |
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x))))) |
(* x (+ y z)) |
(* x (+ y z)) |
(* x (+ y z)) |
(* x (+ y z)) |
(* -1 (* x (+ (* -1 y) (* -1 z)))) |
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x))))) |
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x))))) |
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x))))) |
(* x z) |
(* -1 (* x (+ (* -1 z) (/ z x)))) |
(* -1 (* x (+ (* -1 z) (/ z x)))) |
(* -1 (* x (+ (* -1 z) (/ z x)))) |
x |
(* -1 (* x (- (/ 1 x) 1))) |
(* -1 (* x (- (/ 1 x) 1))) |
(* -1 (* x (- (/ 1 x) 1))) |
| Outputs |
|---|
(* x y) |
(*.f64 y x) |
(+ (* x y) (* z (- x 1))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(+ (* x y) (* z (- x 1))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(+ (* x y) (* z (- x 1))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* x y) |
(*.f64 y x) |
(+ (* x y) (* z (- x 1))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(+ (* x y) (* z (- x 1))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(+ (* x y) (* z (- x 1))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
y |
(+ y z) |
(+.f64 z y) |
(+ y z) |
(+.f64 z y) |
(+ y z) |
(+.f64 z y) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* x y) |
(*.f64 y x) |
(+ (* x y) (* z (- x 1))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(+ (* x y) (* z (- x 1))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(+ (* x y) (* z (- x 1))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* x y) |
(*.f64 y x) |
(+ (* x y) (* z (- x 1))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(+ (* x y) (* z (- x 1))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(+ (* x y) (* z (- x 1))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* x y) |
(*.f64 y x) |
(+ (* x y) (* z (- x 1))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(+ (* x y) (* z (- x 1))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(+ (* x y) (* z (- x 1))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* x y) |
(*.f64 y x) |
(+ (* x y) (* x z)) |
(*.f64 (+.f64 z y) x) |
(+ (* x y) (* x z)) |
(*.f64 (+.f64 z y) x) |
(+ (* x y) (* x z)) |
(*.f64 (+.f64 z y) x) |
(* x y) |
(*.f64 y x) |
(+ (* x y) (* z (- x 1))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(+ (* x y) (* z (- x 1))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(+ (* x y) (* z (- x 1))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* z (- x 1)) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(* z (- x 1)) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(* z (- x 1)) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(* z (- x 1)) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(* z (- x 1)) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(* z (- (+ x (/ (* x y) z)) 1)) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* z (- (+ x (/ (* x y) z)) 1)) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* z (- (+ x (/ (* x y) z)) 1)) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* z (- x 1)) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(* z (- (+ x (/ (* x y) z)) 1)) |
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(*.f64 (+.f64 z y) x) |
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(*.f64 (+.f64 z y) x) |
(* x (+ y z)) |
(*.f64 (+.f64 z y) x) |
(* x (+ y z)) |
(*.f64 (+.f64 z y) x) |
(* x (+ y z)) |
(*.f64 (+.f64 z y) x) |
(* x (+ y (+ z (* -1 (/ z x))))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* x (+ y (+ z (* -1 (/ z x))))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* x (+ y (+ z (* -1 (/ z x))))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* x z) |
(*.f64 z x) |
(* x (+ z (* -1 (/ z x)))) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(* x (+ z (* -1 (/ z x)))) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(* x (+ z (* -1 (/ z x)))) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
x |
(* x (- 1 (/ 1 x))) |
(-.f64 x #s(literal 1 binary64)) |
(* x (- 1 (/ 1 x))) |
(-.f64 x #s(literal 1 binary64)) |
(* x (- 1 (/ 1 x))) |
(-.f64 x #s(literal 1 binary64)) |
(* -1 (* x (+ (* -1 y) (* -1 z)))) |
(*.f64 (+.f64 z y) x) |
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x))))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x))))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x))))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* x (+ y z)) |
(*.f64 (+.f64 z y) x) |
(* -1 (* x (+ (* -1 (+ y z)) (/ z x)))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* -1 (* x (+ (* -1 (+ y z)) (/ z x)))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* -1 (* x (+ (* -1 (+ y z)) (/ z x)))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* -1 (* x (+ (* -1 y) (* -1 z)))) |
(*.f64 (+.f64 z y) x) |
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x))))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x))))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x))))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* -1 (* x (+ (* -1 y) (* -1 z)))) |
(*.f64 (+.f64 z y) x) |
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x))))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x))))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x))))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* -1 (* x (+ (* -1 y) (* -1 z)))) |
(*.f64 (+.f64 z y) x) |
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x))))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x))))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x))))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* x (+ y z)) |
(*.f64 (+.f64 z y) x) |
(* x (+ y z)) |
(*.f64 (+.f64 z y) x) |
(* x (+ y z)) |
(*.f64 (+.f64 z y) x) |
(* x (+ y z)) |
(*.f64 (+.f64 z y) x) |
(* -1 (* x (+ (* -1 y) (* -1 z)))) |
(*.f64 (+.f64 z y) x) |
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x))))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x))))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x))))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* x z) |
(*.f64 z x) |
(* -1 (* x (+ (* -1 z) (/ z x)))) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(* -1 (* x (+ (* -1 z) (/ z x)))) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(* -1 (* x (+ (* -1 z) (/ z x)))) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
x |
(* -1 (* x (- (/ 1 x) 1))) |
(-.f64 x #s(literal 1 binary64)) |
(* -1 (* x (- (/ 1 x) 1))) |
(-.f64 x #s(literal 1 binary64)) |
(* -1 (* x (- (/ 1 x) 1))) |
(-.f64 x #s(literal 1 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 20 | 100 |
| 0 | 27 | 100 |
| 1 | 90 | 100 |
| 2 | 638 | 81 |
| 0 | 9173 | 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 2 012 computations (86.7% saved)
9 alts after pruning (5 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 011 | 4 | 1 015 |
| Fresh | 1 | 1 | 2 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 013 | 9 | 1 022 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 73.7% | (+.f64 (*.f64 x y) #s(approx (* (- x 1) z) (neg.f64 z))) |
| ✓ | 100.0% | #s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 (+.f64 z y) x (neg.f64 z))) |
| ▶ | 64.0% | #s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 z x (*.f64 x y))) |
| ▶ | 62.5% | #s(approx (+ (* x y) (* (- x 1) z)) (-.f64 (*.f64 x z) z)) |
| ✓ | 66.0% | #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (+.f64 z y) x)) |
| ✓ | 40.4% | #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 y x)) |
| ✓ | 35.7% | #s(approx (+ (* x y) (* (- x 1) z)) (neg.f64 z)) |
| ▶ | 29.0% | #s(approx (+ (* x y) (* (- x 1) z)) #s(approx (* (- x 1) z) (*.f64 z x))) |
| ▶ | 2.6% | #s(approx (+ (* x y) (* (- x 1) z)) z) |
Compiled 75 to 81 computations (-8% saved)
| 1× | egg-herbie |
Found 14 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 x y) | |
| cost-diff | 0 | #s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 z x (*.f64 x y))) | |
| cost-diff | 192 | (fma.f64 z x (*.f64 x y)) | |
| cost-diff | 0 | (*.f64 x z) | |
| cost-diff | 0 | (-.f64 (*.f64 x z) z) | |
| cost-diff | 0 | #s(approx (+ (* x y) (* (- x 1) z)) (-.f64 (*.f64 x z) z)) | |
| cost-diff | 0 | (*.f64 z x) | |
| cost-diff | 0 | #s(approx (* (- x 1) z) (*.f64 z x)) | |
| cost-diff | 0 | #s(approx (+ (* x y) (* (- x 1) z)) #s(approx (* (- x 1) z) (*.f64 z x))) | |
| cost-diff | 0 | #s(approx (+ (* x y) (* (- x 1) z)) z) | |
| 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 | 126 |
| 0 | 28 | 126 |
| 1 | 44 | 124 |
| 2 | 56 | 116 |
| 3 | 73 | 116 |
| 4 | 123 | 116 |
| 5 | 186 | 116 |
| 6 | 358 | 116 |
| 7 | 562 | 116 |
| 8 | 673 | 116 |
| 9 | 706 | 116 |
| 10 | 725 | 116 |
| 11 | 739 | 116 |
| 12 | 742 | 116 |
| 0 | 742 | 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 x z) z)) |
(-.f64 (*.f64 x z) z) |
(*.f64 x z) |
x |
z |
#s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 z x (*.f64 x y))) |
(fma.f64 z x (*.f64 x y)) |
z |
x |
(*.f64 x y) |
y |
| 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 x z) z)) |
#s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 z x (neg.f64 z))) |
(-.f64 (*.f64 x z) z) |
(fma.f64 z x (neg.f64 z)) |
(*.f64 x z) |
(*.f64 z x) |
x |
z |
#s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 z x (*.f64 x y))) |
#s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (+.f64 z y) x)) |
(fma.f64 z x (*.f64 x y)) |
(*.f64 (+.f64 z y) x) |
z |
x |
(*.f64 x y) |
(*.f64 y x) |
y |
Found 14 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (*.f64 x y) | |
| accuracy | 1.2577987380278013 | (fma.f64 z x (*.f64 x y)) | |
| accuracy | 21.762248019246197 | #s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 z x (*.f64 x y))) | |
| accuracy | 0 | (*.f64 x z) | |
| accuracy | 0.00390625 | (-.f64 (*.f64 x z) z) | |
| accuracy | 24.01918850699642 | #s(approx (+ (* x y) (* (- x 1) z)) (-.f64 (*.f64 x z) z)) | |
| accuracy | 0 | (*.f64 z x) | |
| accuracy | 24.01918850699642 | #s(approx (+ (* x y) (* (- x 1) z)) #s(approx (* (- x 1) z) (*.f64 z x))) | |
| accuracy | 31.682249011682778 | #s(approx (* (- x 1) z) (*.f64 z x)) | |
| accuracy | 62.35224645251795 | #s(approx (+ (* x y) (* (- x 1) z)) z) | |
| accuracy | 0 | (*.f64 x y) | |
| accuracy | 0 | (neg.f64 z) | |
| accuracy | 1.3124958716604118 | (+.f64 (*.f64 x y) #s(approx (* (- x 1) z) (neg.f64 z))) | |
| accuracy | 31.24461783389784 | #s(approx (* (- x 1) z) (neg.f64 z)) |
| 29.0ms | 256× | 0 | valid |
Compiled 164 to 31 computations (81.1% saved)
ival-mult: 7.0ms (55.1% of total)ival-sub: 2.0ms (15.8% of total)ival-add: 2.0ms (15.8% of total)ival-neg: 1.0ms (7.9% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (+.f64 (*.f64 x y) #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 x z) z)) (patch #s(approx (+ (* x y) (* (- x 1) z)) (-.f64 (*.f64 x z) z)) #<representation binary64>) () ()) |
#s(alt (-.f64 (*.f64 x z) z) (patch (-.f64 (*.f64 x z) z) #<representation binary64>) () ()) |
#s(alt (*.f64 x z) (patch (*.f64 x z) #<representation binary64>) () ()) |
#s(alt (fma.f64 z x (*.f64 x y)) (patch (fma.f64 z x (*.f64 x y)) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 z x (*.f64 x y))) (patch #s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 z x (*.f64 x y))) #<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 x z) z)) (patch #s(approx (+ (* x y) (* (- x 1) z)) (-.f64 (*.f64 x z) 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 z) z)) (patch #s(approx (+ (* x y) (* (- x 1) z)) (-.f64 (*.f64 x z) 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 z) z)) (patch #s(approx (+ (* x y) (* (- x 1) z)) (-.f64 (*.f64 x z) 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 z) z)) (patch #s(approx (+ (* x y) (* (- x 1) z)) (-.f64 (*.f64 x z) z)) #<representation binary64>) () ())) ()) |
#s(alt (* z (- x 1)) (taylor 0 z) (#s(alt (-.f64 (*.f64 x z) z) (patch (-.f64 (*.f64 x z) z) #<representation binary64>) () ())) ()) |
#s(alt (* z (- x 1)) (taylor 0 z) (#s(alt (-.f64 (*.f64 x z) z) (patch (-.f64 (*.f64 x z) z) #<representation binary64>) () ())) ()) |
#s(alt (* z (- x 1)) (taylor 0 z) (#s(alt (-.f64 (*.f64 x z) z) (patch (-.f64 (*.f64 x z) z) #<representation binary64>) () ())) ()) |
#s(alt (* z (- x 1)) (taylor 0 z) (#s(alt (-.f64 (*.f64 x z) z) (patch (-.f64 (*.f64 x z) z) #<representation binary64>) () ())) ()) |
#s(alt (* x z) (taylor 0 z) (#s(alt (*.f64 x z) (patch (*.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt (* x z) (taylor 0 z) (#s(alt (*.f64 x z) (patch (*.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt (* x z) (taylor 0 z) (#s(alt (*.f64 x z) (patch (*.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt (* x z) (taylor 0 z) (#s(alt (*.f64 x z) (patch (*.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 z) (#s(alt (fma.f64 z x (*.f64 x y)) (patch (fma.f64 z x (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x y) (* x z)) (taylor 0 z) (#s(alt (fma.f64 z x (*.f64 x y)) (patch (fma.f64 z x (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x y) (* x z)) (taylor 0 z) (#s(alt (fma.f64 z x (*.f64 x y)) (patch (fma.f64 z x (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x y) (* x z)) (taylor 0 z) (#s(alt (fma.f64 z x (*.f64 x y)) (patch (fma.f64 z x (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 z) (#s(alt #s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 z x (*.f64 x y))) (patch #s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 z x (*.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x y) (* z (- x 1))) (taylor 0 z) (#s(alt #s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 z x (*.f64 x y))) (patch #s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 z x (*.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x y) (* z (- x 1))) (taylor 0 z) (#s(alt #s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 z x (*.f64 x y))) (patch #s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 z x (*.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x y) (* z (- x 1))) (taylor 0 z) (#s(alt #s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 z x (*.f64 x y))) (patch #s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 z x (*.f64 x y))) #<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 x z) z)) (patch #s(approx (+ (* x y) (* (- x 1) z)) (-.f64 (*.f64 x z) z)) #<representation binary64>) () ())) ()) |
#s(alt (* z (- (+ x (/ (* x y) z)) 1)) (taylor inf z) (#s(alt #s(approx (+ (* x y) (* (- x 1) z)) (-.f64 (*.f64 x z) z)) (patch #s(approx (+ (* x y) (* (- x 1) z)) (-.f64 (*.f64 x z) z)) #<representation binary64>) () ())) ()) |
#s(alt (* z (- (+ x (/ (* x y) z)) 1)) (taylor inf z) (#s(alt #s(approx (+ (* x y) (* (- x 1) z)) (-.f64 (*.f64 x z) z)) (patch #s(approx (+ (* x y) (* (- x 1) z)) (-.f64 (*.f64 x z) z)) #<representation binary64>) () ())) ()) |
#s(alt (* z (- (+ x (/ (* x y) z)) 1)) (taylor inf z) (#s(alt #s(approx (+ (* x y) (* (- x 1) z)) (-.f64 (*.f64 x z) z)) (patch #s(approx (+ (* x y) (* (- x 1) z)) (-.f64 (*.f64 x z) z)) #<representation binary64>) () ())) ()) |
#s(alt (* z (- x 1)) (taylor inf z) (#s(alt (-.f64 (*.f64 x z) z) (patch (-.f64 (*.f64 x z) z) #<representation binary64>) () ())) ()) |
#s(alt (* z (- x 1)) (taylor inf z) (#s(alt (-.f64 (*.f64 x z) z) (patch (-.f64 (*.f64 x z) z) #<representation binary64>) () ())) ()) |
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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)) (- (* x z) z) (* x z) (+ (* z x) (* x y)) (+ (* x y) (* (- x 1) 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)) (- (* x z) z) (* x z) (+ (* z x) (* x y)) (+ (* x y) (* (- x 1) 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)) (- (* x z) z) (* x z) (+ (* z x) (* x y)) (+ (* x y) (* (- x 1) 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)) (- (* x z) z) (* x z) (+ (* z x) (* x y)) (+ (* x y) (* (- x 1) 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)) (- (* x z) z) (* x z) (+ (* z x) (* x y)) (+ (* x y) (* (- x 1) z))) |
| 1× | egg-herbie |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 64 | 2142 |
| 1 | 231 | 1872 |
| 2 | 694 | 1872 |
| 3 | 1841 | 1872 |
| 4 | 4455 | 1872 |
| 5 | 6560 | 1872 |
| 0 | 8289 | 1872 |
| 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))) |
(* z (- x 1)) |
(* z (- x 1)) |
(* z (- x 1)) |
(* z (- x 1)) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* 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 (/ (* 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)) |
(* z (- x 1)) |
(* z (- x 1)) |
(* z (- x 1)) |
(* z (- x 1)) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* 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)) |
(* -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 (* z (+ 1 (* -1 x)))) |
(* -1 (* z (+ 1 (* -1 x)))) |
(* -1 (* z (+ 1 (* -1 x)))) |
(* -1 (* z (+ 1 (* -1 x)))) |
(* x z) |
(* x z) |
(* x z) |
(* x 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)) |
(+ (* 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))) |
(* 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) |
(* 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 (/ (* 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) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- x 1)) y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- x 1)) y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- x 1)) y))))) |
(* x y) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- x 1)) y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- x 1)) y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- x 1)) y))))) |
(* x y) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- x 1)) y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- x 1)) y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- x 1)) y))))) |
(* x y) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* 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))) |
(* 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))) |
(* -1 z) |
(- (* x z) z) |
(- (* x z) z) |
(- (* x z) z) |
(* x z) |
(* x z) |
(* x z) |
(* x 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))) |
(* 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 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)) |
(* 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))))) |
(* -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 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)))) |
(* -1 (* x (+ (* -1 y) (* -1 z)))) |
(* -1 (* x (+ (* -1 y) (* -1 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))))) |
| 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)) |
(* 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) (* 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 (/ (* 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)) |
(* 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 z) |
(*.f64 z x) |
(* z (+ x (/ (* x y) z))) |
(*.f64 (+.f64 z y) x) |
(* z (+ x (/ (* x y) z))) |
(*.f64 (+.f64 z y) x) |
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(* -1 (* x (+ (* -1 z) (/ z x)))) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(* -1 (* x (+ (* -1 z) (/ z x)))) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(* -1 (* x (+ (* -1 z) (/ z x)))) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(* x z) |
(*.f64 z x) |
(* x z) |
(*.f64 z x) |
(* x z) |
(*.f64 z x) |
(* x z) |
(*.f64 z x) |
(* -1 (* x (+ (* -1 y) (* -1 z)))) |
(*.f64 (+.f64 z y) x) |
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x))))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x))))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x))))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* x z) |
(*.f64 z x) |
(* -1 (* x (+ (* -1 z) (/ z x)))) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(* -1 (* x (+ (* -1 z) (/ z x)))) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(* -1 (* x (+ (* -1 z) (/ z x)))) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(* x z) |
(*.f64 z x) |
(* x z) |
(*.f64 z x) |
(* x z) |
(*.f64 z x) |
(* x z) |
(*.f64 z x) |
(* -1 (* x (+ (* -1 y) (* -1 z)))) |
(*.f64 (+.f64 z y) x) |
(* -1 (* x (+ (* -1 y) (* -1 z)))) |
(*.f64 (+.f64 z y) x) |
(* -1 (* x (+ (* -1 y) (* -1 z)))) |
(*.f64 (+.f64 z y) x) |
(* -1 (* x (+ (* -1 y) (* -1 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)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 21 | 112 |
| 0 | 28 | 112 |
| 1 | 106 | 110 |
| 2 | 700 | 102 |
| 0 | 8602 | 101 |
| 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 x z) z)) |
(-.f64 (*.f64 x z) z) |
(*.f64 x z) |
(fma.f64 z x (*.f64 x y)) |
#s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 z x (*.f64 x y))) |
| Outputs |
|---|
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Compiled 8 807 to 972 computations (89% saved)
9 alts after pruning (1 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 686 | 1 | 687 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 4 | 4 |
| Total | 687 | 9 | 696 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 73.7% | (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))) |
| ✓ | 64.0% | #s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 z x (*.f64 x y))) |
| ✓ | 62.5% | #s(approx (+ (* x y) (* (- x 1) z)) (-.f64 (*.f64 x z) z)) |
| ✓ | 66.0% | #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (+.f64 z y) x)) |
| ✓ | 40.4% | #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 y x)) |
| ✓ | 35.7% | #s(approx (+ (* x y) (* (- x 1) z)) (neg.f64 z)) |
| ✓ | 29.0% | #s(approx (+ (* x y) (* (- x 1) z)) #s(approx (* (- x 1) z) (*.f64 z x))) |
| ✓ | 2.6% | #s(approx (+ (* x y) (* (- x 1) z)) z) |
Compiled 47 to 51 computations (-8.5% 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 | 240 | 24 |
| 9 | 299 | 24 |
| 10 | 364 | 24 |
| 11 | 405 | 24 |
| 12 | 422 | 24 |
| 13 | 442 | 24 |
| 14 | 464 | 24 |
| 15 | 480 | 24 |
| 16 | 483 | 24 |
| 0 | 483 | 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 | 0.24999724760556022 | (fma.f64 y x #s(approx (* (- x 1) z) (neg.f64 z))) | |
| accuracy | 31.24461783389784 | #s(approx (* (- x 1) z) (neg.f64 z)) |
| 18.0ms | 256× | 0 | valid |
Compiled 35 to 17 computations (51.4% saved)
ival-mult: 4.0ms (53.5% 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 | 2880 | 21 |
| 0 | 8706 | 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)
9 alts after pruning (0 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 236 | 0 | 236 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 8 | 8 |
| Total | 236 | 9 | 245 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 73.7% | (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))) |
| ✓ | 64.0% | #s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 z x (*.f64 x y))) |
| ✓ | 62.5% | #s(approx (+ (* x y) (* (- x 1) z)) (-.f64 (*.f64 x z) z)) |
| ✓ | 66.0% | #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (+.f64 z y) x)) |
| ✓ | 40.4% | #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 y x)) |
| ✓ | 35.7% | #s(approx (+ (* x y) (* (- x 1) z)) (neg.f64 z)) |
| ✓ | 29.0% | #s(approx (+ (* x y) (* (- x 1) z)) #s(approx (* (- x 1) z) (*.f64 z x))) |
| ✓ | 2.6% | #s(approx (+ (* x y) (* (- x 1) z)) z) |
Compiled 124 to 82 computations (33.9% saved)
| Inputs |
|---|
#s(approx (+ (* x y) (* (- x 1) z)) z) |
#s(approx (+ (* x y) (* (- x 1) z)) (neg.f64 z)) |
#s(approx (+ (* x y) (* (- x 1) z)) #s(approx (* (- x 1) z) (*.f64 z x))) |
#s(approx (+ (* x y) (* (- x 1) z)) (*.f64 y x)) |
#s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (+.f64 z y) x)) |
#s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) |
#s(approx (+ (* x y) (* (- x 1) z)) (-.f64 (*.f64 x z) 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 z x (*.f64 x y))) |
#s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 (+.f64 z y) x (neg.f64 z))) |
(+.f64 (*.f64 x y) #s(approx (* (- x 1) z) (*.f64 z x))) |
(+.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:
| 19.0ms | x |
| 5.0ms | y |
| 5.0ms | z |
| 5.0ms | (+.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 x z) 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 z x (*.f64 x y))) |
| 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:
| 5.0ms | x |
| 4.0ms | z |
| 4.0ms | y |
| 4.0ms | (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.0% | 3 | x |
| 87.2% | 3 | y |
| 88.8% | 3 | z |
| 85.9% | 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 x z) z)) |
| Outputs |
|---|
#s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) |
#s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (+.f64 z y) x)) |
#s(approx (+ (* x y) (* (- x 1) z)) (-.f64 (*.f64 x z) z)) |
3 calls:
| 3.0ms | x |
| 3.0ms | y |
| 3.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 82.6% | 3 | y |
| 86.4% | 3 | z |
| 85.8% | 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)) |
#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 x #s(literal 1 binary64)) z)) |
#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)) |
1 calls:
| 4.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 86.4% | 3 | z |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
#s(approx (+ (* x y) (* (- x 1) z)) z) |
#s(approx (+ (* x y) (* (- x 1) z)) (neg.f64 z)) |
#s(approx (+ (* x y) (* (- x 1) z)) #s(approx (* (- x 1) z) (*.f64 z x))) |
#s(approx (+ (* x y) (* (- x 1) z)) (*.f64 y x)) |
#s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (+.f64 z y) x)) |
| Outputs |
|---|
#s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (+.f64 z y) x)) |
#s(approx (+ (* x y) (* (- x 1) z)) (neg.f64 z)) |
#s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (+.f64 z y) x)) |
3 calls:
| 3.0ms | z |
| 2.0ms | x |
| 2.0ms | (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 85.8% | 3 | x |
| 66.0% | 1 | (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) |
| 68.4% | 2 | z |
Compiled 11 to 14 computations (-27.3% 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)) #s(approx (* (- x 1) z) (*.f64 z x))) |
4 calls:
| 4.0ms | (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) |
| 2.0ms | z |
| 2.0ms | y |
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 54.7% | 5 | (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) |
| 60.9% | 4 | z |
| 61.5% | 5 | y |
| 65.0% | 3 | x |
Compiled 12 to 17 computations (-41.7% saved)
| Inputs |
|---|
#s(approx (+ (* x y) (* (- x 1) z)) z) |
#s(approx (+ (* x y) (* (- x 1) z)) (neg.f64 z)) |
#s(approx (+ (* x y) (* (- x 1) z)) #s(approx (* (- x 1) z) (*.f64 z x))) |
| Outputs |
|---|
#s(approx (+ (* x y) (* (- x 1) z)) #s(approx (* (- x 1) z) (*.f64 z x))) |
#s(approx (+ (* x y) (* (- x 1) z)) (neg.f64 z)) |
#s(approx (+ (* x y) (* (- x 1) z)) #s(approx (* (- x 1) z) (*.f64 z x))) |
1 calls:
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 61.6% | 3 | 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)) |
| Outputs |
|---|
#s(approx (+ (* x y) (* (- x 1) z)) (neg.f64 z)) |
4 calls:
| 2.0ms | x |
| 2.0ms | y |
| 2.0ms | (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) |
| 2.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 35.7% | 1 | (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) |
| 35.7% | 1 | y |
| 35.7% | 1 | z |
| 35.7% | 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:
| 2.0ms | x |
| 1.0ms | z |
| 1.0ms | (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) |
| 1.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 2.6% | 1 | x |
| 2.6% | 1 | y |
| 2.6% | 1 | z |
| 2.6% | 1 | (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) |
Compiled 12 to 17 computations (-41.7% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 13.0ms | 0.00021352620511543157 | 23464.41150674369 |
| 11.0ms | -5.796150691248911 | -0.022487430289204167 |
| 13.0ms | 272× | 0 | valid |
Compiled 216 to 252 computations (-16.7% saved)
ival-mult: 4.0ms (61.7% of total)ival-sub: 1.0ms (15.4% of total)ival-add: 1.0ms (15.4% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 14.0ms | 3.1305872593041005e-51 | 8.383631926643545e-36 |
| 14.0ms | -2.7080450337475485e+77 | -3.7264251318442e+73 |
| 14.0ms | 288× | 0 | valid |
Compiled 228 to 274 computations (-20.2% saved)
ival-mult: 4.0ms (57% of total)ival-sub: 1.0ms (14.2% of total)ival-add: 1.0ms (14.2% 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 | 3.1305872593041005e-51 | 8.383631926643545e-36 |
| 3.0ms | -2.7080450337475485e+77 | -3.7264251318442e+73 |
Compiled 228 to 284 computations (-24.6% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 12.0ms | 2.9201303951611046e-64 | 9.514366779336017e-61 |
| 8.0ms | -7.309807590208201e-72 | -5.772139200411518e-73 |
| 11.0ms | 224× | 0 | valid |
Compiled 138 to 196 computations (-42% saved)
ival-mult: 3.0ms (54.8% of total)ival-sub: 1.0ms (18.3% of total)ival-add: 1.0ms (18.3% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 29.0ms | 23464.41150674369 | 3.528695574079803e+28 |
| 1.0ms | -7.309807590208201e-72 | -5.772139200411518e-73 |
| 8.0ms | 176× | 0 | valid |
Compiled 142 to 229 computations (-61.3% saved)
ival-mult: 2.0ms (48.9% of total)ival-sub: 1.0ms (24.5% of total)ival-add: 1.0ms (24.5% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 23464.41150674369 | 3.528695574079803e+28 |
| 1.0ms | -5.796150691248911 | -0.022487430289204167 |
Compiled 164 to 261 computations (-59.1% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 53 | 355 |
| 1 | 66 | 355 |
| 2 | 72 | 355 |
| 3 | 78 | 355 |
| 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 z #s(literal -179999999999999993807514555399698261727668732728490605741914453360183869440 binary64)) #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) (if (<=.f64 z #s(literal 2605242419472011/3064991081731777716716694054300618367237478244367204352 binary64)) #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (+.f64 z y) x)) #s(approx (+ (* x y) (* (- x 1) z)) (-.f64 (*.f64 x z) z)))) |
(if (<=.f64 z #s(literal -179999999999999993807514555399698261727668732728490605741914453360183869440 binary64)) #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) (if (<=.f64 z #s(literal 2605242419472011/3064991081731777716716694054300618367237478244367204352 binary64)) #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)))) |
(if (<=.f64 x #s(literal -55948864096101/7770675568902916283677847627294075626569627356208558085007249638955617140820833992704 binary64)) #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (+.f64 z y) x)) (if (<=.f64 x #s(literal 1794777383178401/115792089237316195423570985008687907853269984665640564039457584007913129639936 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 -55948864096101/7770675568902916283677847627294075626569627356208558085007249638955617140820833992704 binary64)) #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 y x)) (if (<=.f64 x #s(literal 24000 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))))) |
(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 24000 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))) |
#s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 (+.f64 y z) 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 -1 binary64)) #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 x (+.f64 y z))) (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 x (+.f64 y z))))) |
(if (<=.f64 z #s(literal -179999999999999993807514555399698261727668732728490605741914453360183869440 binary64)) #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) (if (<=.f64 z #s(literal 2605242419472011/3064991081731777716716694054300618367237478244367204352 binary64)) #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (+.f64 z y) x)) #s(approx (+ (* x y) (* (- x 1) z)) (-.f64 (*.f64 x z) z)))) |
(if (<=.f64 z #s(literal -179999999999999993807514555399698261727668732728490605741914453360183869440 binary64)) #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) (if (<=.f64 z #s(literal 2605242419472011/3064991081731777716716694054300618367237478244367204352 binary64)) #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 x (+.f64 y z))) #s(approx (+ (* x y) (* (- x 1) z)) (-.f64 (*.f64 x z) z)))) |
(if (<=.f64 z #s(literal -179999999999999993807514555399698261727668732728490605741914453360183869440 binary64)) #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) (if (<=.f64 z #s(literal 2605242419472011/3064991081731777716716694054300618367237478244367204352 binary64)) #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)))) |
(if (<=.f64 z #s(literal -179999999999999993807514555399698261727668732728490605741914453360183869440 binary64)) #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) (if (<=.f64 z #s(literal 2605242419472011/3064991081731777716716694054300618367237478244367204352 binary64)) #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 x (+.f64 y z))) #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (-.f64 x #s(literal 1 binary64)) z)))) |
(if (<=.f64 x #s(literal -55948864096101/7770675568902916283677847627294075626569627356208558085007249638955617140820833992704 binary64)) #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (+.f64 z y) x)) (if (<=.f64 x #s(literal 1794777383178401/115792089237316195423570985008687907853269984665640564039457584007913129639936 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 -55948864096101/7770675568902916283677847627294075626569627356208558085007249638955617140820833992704 binary64)) #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 x (+.f64 y z))) (if (<=.f64 x #s(literal 1794777383178401/115792089237316195423570985008687907853269984665640564039457584007913129639936 binary64)) #s(approx (+ (* x y) (* (- x 1) z)) (neg.f64 z)) #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 x (+.f64 y z))))) |
(if (<=.f64 x #s(literal -55948864096101/7770675568902916283677847627294075626569627356208558085007249638955617140820833992704 binary64)) #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 y x)) (if (<=.f64 x #s(literal 24000 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))))) |
(if (<=.f64 x #s(literal -55948864096101/7770675568902916283677847627294075626569627356208558085007249638955617140820833992704 binary64)) #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 x y)) (if (<=.f64 x #s(literal 24000 binary64)) #s(approx (+ (* x y) (* (- x 1) z)) (neg.f64 z)) #s(approx (+ (* x y) (* (- x 1) z)) #s(approx (* (- x 1) z) (*.f64 x z))))) |
(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 24000 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))))) |
(if (<=.f64 x #s(literal -1 binary64)) #s(approx (+ (* x y) (* (- x 1) z)) #s(approx (* (- x 1) z) (*.f64 x z))) (if (<=.f64 x #s(literal 24000 binary64)) #s(approx (+ (* x y) (* (- x 1) z)) (neg.f64 z)) #s(approx (+ (* x y) (* (- x 1) z)) #s(approx (* (- x 1) z) (*.f64 x z))))) |
#s(approx (+ (* x y) (* (- x 1) z)) (neg.f64 z)) |
#s(approx (+ (* x y) (* (- x 1) z)) z) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 54 | 494 |
| 1 | 180 | 440 |
| 2 | 532 | 440 |
| 3 | 1339 | 440 |
| 4 | 4403 | 440 |
| 0 | 8080 | 440 |
| 0 | 21 | 112 |
| 0 | 28 | 112 |
| 1 | 106 | 110 |
| 2 | 700 | 102 |
| 0 | 8602 | 101 |
| 0 | 100 | 2141 |
| 1 | 346 | 1817 |
| 2 | 1017 | 1817 |
| 3 | 2559 | 1817 |
| 4 | 5278 | 1817 |
| 5 | 7095 | 1817 |
| 0 | 8083 | 1817 |
| 0 | 20 | 100 |
| 0 | 27 | 100 |
| 1 | 90 | 100 |
| 2 | 638 | 81 |
| 0 | 9173 | 79 |
| 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× | iter limit |
| 1× | node limit |
Compiled 248 to 160 computations (35.5% saved)
Compiled 328 to 112 computations (65.9% saved)
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