
Time bar (total: 5.8s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 0 |
| 100% | 100% | 0% | 0% | 0% | 0% | 0% | 1 |
Compiled 15 to 12 computations (20% saved)
| 995.0ms | 8 256× | 0 | valid |
ival-mult: 535.0ms (63.6% of total)ival-sub: 173.0ms (20.6% of total)ival-add: 112.0ms (13.3% of total)exact: 12.0ms (1.4% of total)ival-true: 6.0ms (0.7% of total)ival-assert: 3.0ms (0.4% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | (*.f64 (*.f64 x #s(literal 3 binary64)) x) |
| 0 | 0 | - | 0 | - | (+.f64 (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | #s(literal 3 binary64) |
| 0 | 0 | - | 0 | - | #s(literal 4 binary64) |
| 0 | 0 | - | 0 | - | (*.f64 x #s(literal 3 binary64)) |
| 0 | 0 | - | 0 | - | (*.f64 x #s(literal 4 binary64)) |
| 0 | 0 | - | 0 | - | (*.f64 #s(literal 3 binary64) (+.f64 (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))) |
| 0 | 0 | - | 0 | - | x |
| 0 | 0 | - | 0 | - | (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) |
| Predicted + | Predicted - | |
|---|---|---|
| + | 0 | 0 |
| - | 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 256 |
| number | freq |
|---|---|
| 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 1 |
| 44.0ms | 512× | 0 | valid |
Compiled 161 to 44 computations (72.7% saved)
ival-mult: 14.0ms (69.7% of total)ival-sub: 3.0ms (14.9% of total)ival-add: 2.0ms (10% of total)exact: 1.0ms (5% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 30 |
| 1 | 50 | 24 |
| 2 | 154 | 22 |
| 3 | 498 | 18 |
| 4 | 1114 | 18 |
| 5 | 1432 | 18 |
| 6 | 1493 | 18 |
| 7 | 1500 | 18 |
| 8 | 1500 | 18 |
| 9 | 1504 | 18 |
| 0 | 10 | 13 |
| 0 | 16 | 13 |
| 1 | 37 | 11 |
| 2 | 71 | 11 |
| 3 | 158 | 9 |
| 4 | 273 | 9 |
| 5 | 377 | 9 |
| 6 | 589 | 9 |
| 7 | 934 | 9 |
| 8 | 1230 | 9 |
| 9 | 1303 | 9 |
| 10 | 1340 | 9 |
| 11 | 1346 | 9 |
| 12 | 1346 | 9 |
| 0 | 1346 | 7 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(*.f64 #s(literal 3 binary64) (+.f64 (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))) |
| Outputs |
|---|
(*.f64 #s(literal 3 binary64) (+.f64 (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal 3 binary64)) |
Compiled 13 to 10 computations (23.1% saved)
Compiled 0 to 1 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.8% | (*.f64 #s(literal 3 binary64) (+.f64 (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))) |
Compiled 13 to 10 computations (23.1% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 (*.f64 x #s(literal 3 binary64)) x) | |
| cost-diff | 128 | (+.f64 (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) | |
| cost-diff | 320 | (*.f64 #s(literal 3 binary64) (+.f64 (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))) | |
| cost-diff | 448 | (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 48 |
| 0 | 16 | 48 |
| 1 | 37 | 42 |
| 2 | 71 | 42 |
| 3 | 158 | 40 |
| 4 | 273 | 40 |
| 5 | 377 | 40 |
| 6 | 589 | 40 |
| 7 | 934 | 40 |
| 8 | 1230 | 40 |
| 9 | 1303 | 40 |
| 10 | 1340 | 40 |
| 11 | 1346 | 40 |
| 12 | 1346 | 40 |
| 0 | 1346 | 35 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 #s(literal 3 binary64) (+.f64 (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))) |
#s(literal 3 binary64) |
(+.f64 (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) |
(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) |
(*.f64 (*.f64 x #s(literal 3 binary64)) x) |
(*.f64 x #s(literal 3 binary64)) |
x |
(*.f64 x #s(literal 4 binary64)) |
#s(literal 4 binary64) |
#s(literal 1 binary64) |
| Outputs |
|---|
(*.f64 #s(literal 3 binary64) (+.f64 (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal 3 binary64)) |
#s(literal 3 binary64) |
(+.f64 (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) x #s(literal 1 binary64)) |
(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) x) |
(*.f64 (*.f64 x #s(literal 3 binary64)) x) |
(*.f64 x #s(literal 3 binary64)) |
x |
(*.f64 x #s(literal 4 binary64)) |
(*.f64 #s(literal 4 binary64) x) |
#s(literal 4 binary64) |
#s(literal 1 binary64) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.00390625 | (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) | |
| accuracy | 0.00390625 | (+.f64 (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) | |
| accuracy | 0.0625 | (*.f64 #s(literal 3 binary64) (+.f64 (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))) | |
| accuracy | 0.13671875 | (*.f64 (*.f64 x #s(literal 3 binary64)) x) |
| 35.0ms | 256× | 0 | valid |
Compiled 98 to 22 computations (77.6% saved)
ival-mult: 25.0ms (89% of total)ival-sub: 1.0ms (3.6% of total)ival-add: 1.0ms (3.6% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) (patch (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 3 binary64) (+.f64 (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))) (patch (*.f64 #s(literal 3 binary64) (+.f64 (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (+.f64 (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (patch (+.f64 (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 x #s(literal 3 binary64)) x) (patch (*.f64 (*.f64 x #s(literal 3 binary64)) x) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* -4 x) (taylor 0 x) (#s(alt (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) (patch (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (* 3 x) 4)) (taylor 0 x) (#s(alt (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) (patch (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (* 3 x) 4)) (taylor 0 x) (#s(alt (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) (patch (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (* 3 x) 4)) (taylor 0 x) (#s(alt (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) (patch (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt 3 (taylor 0 x) (#s(alt (*.f64 #s(literal 3 binary64) (+.f64 (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))) (patch (*.f64 #s(literal 3 binary64) (+.f64 (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 3 (* -12 x)) (taylor 0 x) (#s(alt (*.f64 #s(literal 3 binary64) (+.f64 (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))) (patch (*.f64 #s(literal 3 binary64) (+.f64 (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 3 (* x (- (* 9 x) 12))) (taylor 0 x) (#s(alt (*.f64 #s(literal 3 binary64) (+.f64 (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))) (patch (*.f64 #s(literal 3 binary64) (+.f64 (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 3 (* x (- (* 9 x) 12))) (taylor 0 x) (#s(alt (*.f64 #s(literal 3 binary64) (+.f64 (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))) (patch (*.f64 #s(literal 3 binary64) (+.f64 (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 x) (#s(alt (+.f64 (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (patch (+.f64 (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -4 x)) (taylor 0 x) (#s(alt (+.f64 (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (patch (+.f64 (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* x (- (* 3 x) 4))) (taylor 0 x) (#s(alt (+.f64 (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (patch (+.f64 (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* x (- (* 3 x) 4))) (taylor 0 x) (#s(alt (+.f64 (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (patch (+.f64 (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (pow x 2)) (taylor 0 x) (#s(alt (*.f64 (*.f64 x #s(literal 3 binary64)) x) (patch (*.f64 (*.f64 x #s(literal 3 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (pow x 2)) (taylor 0 x) (#s(alt (*.f64 (*.f64 x #s(literal 3 binary64)) x) (patch (*.f64 (*.f64 x #s(literal 3 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (pow x 2)) (taylor 0 x) (#s(alt (*.f64 (*.f64 x #s(literal 3 binary64)) x) (patch (*.f64 (*.f64 x #s(literal 3 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (pow x 2)) (taylor 0 x) (#s(alt (*.f64 (*.f64 x #s(literal 3 binary64)) x) (patch (*.f64 (*.f64 x #s(literal 3 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (pow x 2)) (taylor inf x) (#s(alt (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) (patch (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- 3 (* 4 (/ 1 x)))) (taylor inf x) (#s(alt (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) (patch (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- 3 (* 4 (/ 1 x)))) (taylor inf x) (#s(alt (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) (patch (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- 3 (* 4 (/ 1 x)))) (taylor inf x) (#s(alt (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) (patch (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 9 (pow x 2)) (taylor inf x) (#s(alt (*.f64 #s(literal 3 binary64) (+.f64 (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))) (patch (*.f64 #s(literal 3 binary64) (+.f64 (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- 9 (* 12 (/ 1 x)))) (taylor inf x) (#s(alt (*.f64 #s(literal 3 binary64) (+.f64 (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))) (patch (*.f64 #s(literal 3 binary64) (+.f64 (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x)))) (taylor inf x) (#s(alt (*.f64 #s(literal 3 binary64) (+.f64 (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))) (patch (*.f64 #s(literal 3 binary64) (+.f64 (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x)))) (taylor inf x) (#s(alt (*.f64 #s(literal 3 binary64) (+.f64 (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))) (patch (*.f64 #s(literal 3 binary64) (+.f64 (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (pow x 2)) (taylor inf x) (#s(alt (+.f64 (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (patch (+.f64 (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- 3 (* 4 (/ 1 x)))) (taylor inf x) (#s(alt (+.f64 (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (patch (+.f64 (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- (+ 3 (/ 1 (pow x 2))) (* 4 (/ 1 x)))) (taylor inf x) (#s(alt (+.f64 (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (patch (+.f64 (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- (+ 3 (/ 1 (pow x 2))) (* 4 (/ 1 x)))) (taylor inf x) (#s(alt (+.f64 (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (patch (+.f64 (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (pow x 2)) (taylor inf x) (#s(alt (*.f64 (*.f64 x #s(literal 3 binary64)) x) (patch (*.f64 (*.f64 x #s(literal 3 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (pow x 2)) (taylor inf x) (#s(alt (*.f64 (*.f64 x #s(literal 3 binary64)) x) (patch (*.f64 (*.f64 x #s(literal 3 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (pow x 2)) (taylor inf x) (#s(alt (*.f64 (*.f64 x #s(literal 3 binary64)) x) (patch (*.f64 (*.f64 x #s(literal 3 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (pow x 2)) (taylor inf x) (#s(alt (*.f64 (*.f64 x #s(literal 3 binary64)) x) (patch (*.f64 (*.f64 x #s(literal 3 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (pow x 2)) (taylor -inf x) (#s(alt (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) (patch (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- 3 (* 4 (/ 1 x)))) (taylor -inf x) (#s(alt (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) (patch (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- 3 (* 4 (/ 1 x)))) (taylor -inf x) (#s(alt (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) (patch (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- 3 (* 4 (/ 1 x)))) (taylor -inf x) (#s(alt (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) (patch (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 9 (pow x 2)) (taylor -inf x) (#s(alt (*.f64 #s(literal 3 binary64) (+.f64 (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))) (patch (*.f64 #s(literal 3 binary64) (+.f64 (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- 9 (* 12 (/ 1 x)))) (taylor -inf x) (#s(alt (*.f64 #s(literal 3 binary64) (+.f64 (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))) (patch (*.f64 #s(literal 3 binary64) (+.f64 (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x)))) (taylor -inf x) (#s(alt (*.f64 #s(literal 3 binary64) (+.f64 (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))) (patch (*.f64 #s(literal 3 binary64) (+.f64 (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x)))) (taylor -inf x) (#s(alt (*.f64 #s(literal 3 binary64) (+.f64 (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))) (patch (*.f64 #s(literal 3 binary64) (+.f64 (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (pow x 2)) (taylor -inf x) (#s(alt (+.f64 (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (patch (+.f64 (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- 3 (* 4 (/ 1 x)))) (taylor -inf x) (#s(alt (+.f64 (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (patch (+.f64 (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 3 (* -1 (/ (- 4 (/ 1 x)) x)))) (taylor -inf x) (#s(alt (+.f64 (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (patch (+.f64 (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 3 (* -1 (/ (- 4 (/ 1 x)) x)))) (taylor -inf x) (#s(alt (+.f64 (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (patch (+.f64 (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (pow x 2)) (taylor -inf x) (#s(alt (*.f64 (*.f64 x #s(literal 3 binary64)) x) (patch (*.f64 (*.f64 x #s(literal 3 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (pow x 2)) (taylor -inf x) (#s(alt (*.f64 (*.f64 x #s(literal 3 binary64)) x) (patch (*.f64 (*.f64 x #s(literal 3 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (pow x 2)) (taylor -inf x) (#s(alt (*.f64 (*.f64 x #s(literal 3 binary64)) x) (patch (*.f64 (*.f64 x #s(literal 3 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (pow x 2)) (taylor -inf x) (#s(alt (*.f64 (*.f64 x #s(literal 3 binary64)) x) (patch (*.f64 (*.f64 x #s(literal 3 binary64)) x) #<representation binary64>) () ())) ()) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | inf | ((- (* (* x 3) x) (* x 4)) (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (+ (- (* (* x 3) x) (* x 4)) 1) (* (* x 3) x)) |
| 1.0ms | x | @ | 0 | ((- (* (* x 3) x) (* x 4)) (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (+ (- (* (* x 3) x) (* x 4)) 1) (* (* x 3) x)) |
| 1.0ms | x | @ | -inf | ((- (* (* x 3) x) (* x 4)) (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (+ (- (* (* x 3) x) (* x 4)) 1) (* (* x 3) x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 51 | 308 |
| 1 | 137 | 308 |
| 2 | 323 | 308 |
| 3 | 756 | 308 |
| 4 | 1962 | 304 |
| 5 | 4238 | 304 |
| 6 | 5965 | 304 |
| 7 | 7680 | 304 |
| 0 | 8024 | 265 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -4 x) |
(* x (- (* 3 x) 4)) |
(* x (- (* 3 x) 4)) |
(* x (- (* 3 x) 4)) |
3 |
(+ 3 (* -12 x)) |
(+ 3 (* x (- (* 9 x) 12))) |
(+ 3 (* x (- (* 9 x) 12))) |
1 |
(+ 1 (* -4 x)) |
(+ 1 (* x (- (* 3 x) 4))) |
(+ 1 (* x (- (* 3 x) 4))) |
(* 3 (pow x 2)) |
(* 3 (pow x 2)) |
(* 3 (pow x 2)) |
(* 3 (pow x 2)) |
(* 3 (pow x 2)) |
(* (pow x 2) (- 3 (* 4 (/ 1 x)))) |
(* (pow x 2) (- 3 (* 4 (/ 1 x)))) |
(* (pow x 2) (- 3 (* 4 (/ 1 x)))) |
(* 9 (pow x 2)) |
(* (pow x 2) (- 9 (* 12 (/ 1 x)))) |
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x)))) |
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x)))) |
(* 3 (pow x 2)) |
(* (pow x 2) (- 3 (* 4 (/ 1 x)))) |
(* (pow x 2) (- (+ 3 (/ 1 (pow x 2))) (* 4 (/ 1 x)))) |
(* (pow x 2) (- (+ 3 (/ 1 (pow x 2))) (* 4 (/ 1 x)))) |
(* 3 (pow x 2)) |
(* 3 (pow x 2)) |
(* 3 (pow x 2)) |
(* 3 (pow x 2)) |
(* 3 (pow x 2)) |
(* (pow x 2) (- 3 (* 4 (/ 1 x)))) |
(* (pow x 2) (- 3 (* 4 (/ 1 x)))) |
(* (pow x 2) (- 3 (* 4 (/ 1 x)))) |
(* 9 (pow x 2)) |
(* (pow x 2) (- 9 (* 12 (/ 1 x)))) |
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x)))) |
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x)))) |
(* 3 (pow x 2)) |
(* (pow x 2) (- 3 (* 4 (/ 1 x)))) |
(* (pow x 2) (+ 3 (* -1 (/ (- 4 (/ 1 x)) x)))) |
(* (pow x 2) (+ 3 (* -1 (/ (- 4 (/ 1 x)) x)))) |
(* 3 (pow x 2)) |
(* 3 (pow x 2)) |
(* 3 (pow x 2)) |
(* 3 (pow x 2)) |
| Outputs |
|---|
(* -4 x) |
(*.f64 x #s(literal -4 binary64)) |
(* x (- (* 3 x) 4)) |
(*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) x) |
(* x (- (* 3 x) 4)) |
(*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) x) |
(* x (- (* 3 x) 4)) |
(*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) x) |
3 |
#s(literal 3 binary64) |
(+ 3 (* -12 x)) |
(fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64)) |
(+ 3 (* x (- (* 9 x) 12))) |
(fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal 3 binary64)) |
(+ 3 (* x (- (* 9 x) 12))) |
(fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal 3 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -4 x)) |
(fma.f64 x #s(literal -4 binary64) #s(literal 1 binary64)) |
(+ 1 (* x (- (* 3 x) 4))) |
(fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) x #s(literal 1 binary64)) |
(+ 1 (* x (- (* 3 x) 4))) |
(fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) x #s(literal 1 binary64)) |
(* 3 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 3 binary64)) |
(* 3 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 3 binary64)) |
(* 3 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 3 binary64)) |
(* 3 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 3 binary64)) |
(* 3 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 3 binary64)) |
(* (pow x 2) (- 3 (* 4 (/ 1 x)))) |
(*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) x) |
(* (pow x 2) (- 3 (* 4 (/ 1 x)))) |
(*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) x) |
(* (pow x 2) (- 3 (* 4 (/ 1 x)))) |
(*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) x) |
(* 9 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 9 binary64)) |
(* (pow x 2) (- 9 (* 12 (/ 1 x)))) |
(*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x) |
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x)))) |
(fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal 3 binary64)) |
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x)))) |
(fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal 3 binary64)) |
(* 3 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 3 binary64)) |
(* (pow x 2) (- 3 (* 4 (/ 1 x)))) |
(*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) x) |
(* (pow x 2) (- (+ 3 (/ 1 (pow x 2))) (* 4 (/ 1 x)))) |
(fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) x #s(literal 1 binary64)) |
(* (pow x 2) (- (+ 3 (/ 1 (pow x 2))) (* 4 (/ 1 x)))) |
(fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) x #s(literal 1 binary64)) |
(* 3 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 3 binary64)) |
(* 3 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 3 binary64)) |
(* 3 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 3 binary64)) |
(* 3 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 3 binary64)) |
(* 3 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 3 binary64)) |
(* (pow x 2) (- 3 (* 4 (/ 1 x)))) |
(*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) x) |
(* (pow x 2) (- 3 (* 4 (/ 1 x)))) |
(*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) x) |
(* (pow x 2) (- 3 (* 4 (/ 1 x)))) |
(*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) x) |
(* 9 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 9 binary64)) |
(* (pow x 2) (- 9 (* 12 (/ 1 x)))) |
(*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x) |
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x)))) |
(fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal 3 binary64)) |
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x)))) |
(fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal 3 binary64)) |
(* 3 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 3 binary64)) |
(* (pow x 2) (- 3 (* 4 (/ 1 x)))) |
(*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) x) |
(* (pow x 2) (+ 3 (* -1 (/ (- 4 (/ 1 x)) x)))) |
(fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) x #s(literal 1 binary64)) |
(* (pow x 2) (+ 3 (* -1 (/ (- 4 (/ 1 x)) x)))) |
(fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) x #s(literal 1 binary64)) |
(* 3 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 3 binary64)) |
(* 3 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 3 binary64)) |
(* 3 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 3 binary64)) |
(* 3 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 3 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 38 |
| 0 | 16 | 38 |
| 1 | 61 | 32 |
| 2 | 451 | 32 |
| 3 | 7371 | 32 |
| 0 | 8608 | 27 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) |
(*.f64 #s(literal 3 binary64) (+.f64 (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))) |
(+.f64 (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) |
(*.f64 (*.f64 x #s(literal 3 binary64)) x) |
| Outputs |
|---|
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Compiled 10 316 to 1 161 computations (88.7% saved)
9 alts after pruning (9 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 380 | 9 | 389 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 381 | 9 | 390 |
| Status | Accuracy | Program |
|---|---|---|
| 99.9% | (fma.f64 (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) x) #s(literal 3 binary64) #s(literal 3 binary64)) | |
| ▶ | 46.8% | (*.f64 #s(literal 3 binary64) #s(approx (+ (- (* (* x 3) x) (* x 4)) 1) (fma.f64 x #s(literal -4 binary64) #s(literal 1 binary64)))) |
| ▶ | 56.5% | (*.f64 #s(literal 3 binary64) #s(approx (+ (- (* (* x 3) x) (* x 4)) 1) (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) x))) |
| 56.0% | (*.f64 #s(literal 3 binary64) #s(approx (+ (- (* (* x 3) x) (* x 4)) 1) (*.f64 (*.f64 x x) #s(literal 3 binary64)))) | |
| ▶ | 99.9% | #s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal 3 binary64))) |
| 46.8% | #s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64))) | |
| 56.6% | #s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x)) | |
| ▶ | 56.0% | #s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (*.f64 (*.f64 x x) #s(literal 9 binary64))) |
| ▶ | 46.1% | #s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) #s(literal 3 binary64)) |
Compiled 122 to 104 computations (14.8% saved)
| 1× | egg-herbie |
Found 14 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) | |
| cost-diff | 0 | (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) x) | |
| cost-diff | 0 | #s(approx (+ (- (* (* x 3) x) (* x 4)) 1) (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) x)) | |
| cost-diff | 0 | (*.f64 #s(literal 3 binary64) #s(approx (+ (- (* (* x 3) x) (* x 4)) 1) (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) x))) | |
| cost-diff | 0 | (fma.f64 x #s(literal -4 binary64) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (+ (- (* (* x 3) x) (* x 4)) 1) (fma.f64 x #s(literal -4 binary64) #s(literal 1 binary64))) | |
| cost-diff | 0 | (*.f64 #s(literal 3 binary64) #s(approx (+ (- (* (* x 3) x) (* x 4)) 1) (fma.f64 x #s(literal -4 binary64) #s(literal 1 binary64)))) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (*.f64 (*.f64 x x) #s(literal 9 binary64)) | |
| cost-diff | 0 | #s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (*.f64 (*.f64 x x) #s(literal 9 binary64))) | |
| cost-diff | 0 | #s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) #s(literal 3 binary64)) | |
| cost-diff | 0 | (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) | |
| cost-diff | 0 | (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal 3 binary64)) | |
| cost-diff | 0 | #s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal 3 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 174 |
| 0 | 40 | 174 |
| 1 | 73 | 153 |
| 2 | 112 | 144 |
| 3 | 208 | 144 |
| 4 | 309 | 144 |
| 5 | 410 | 144 |
| 6 | 623 | 144 |
| 7 | 967 | 144 |
| 8 | 1274 | 144 |
| 9 | 1348 | 144 |
| 10 | 1385 | 144 |
| 11 | 1391 | 144 |
| 12 | 1391 | 144 |
| 0 | 1391 | 140 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal 3 binary64))) |
(fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal 3 binary64)) |
(fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) |
#s(literal 9 binary64) |
x |
#s(literal -12 binary64) |
#s(literal 3 binary64) |
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) #s(literal 3 binary64)) |
#s(literal 3 binary64) |
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (*.f64 (*.f64 x x) #s(literal 9 binary64))) |
(*.f64 (*.f64 x x) #s(literal 9 binary64)) |
(*.f64 x x) |
x |
#s(literal 9 binary64) |
(*.f64 #s(literal 3 binary64) #s(approx (+ (- (* (* x 3) x) (* x 4)) 1) (fma.f64 x #s(literal -4 binary64) #s(literal 1 binary64)))) |
#s(literal 3 binary64) |
#s(approx (+ (- (* (* x 3) x) (* x 4)) 1) (fma.f64 x #s(literal -4 binary64) #s(literal 1 binary64))) |
(fma.f64 x #s(literal -4 binary64) #s(literal 1 binary64)) |
x |
#s(literal -4 binary64) |
#s(literal 1 binary64) |
(*.f64 #s(literal 3 binary64) #s(approx (+ (- (* (* x 3) x) (* x 4)) 1) (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) x))) |
#s(literal 3 binary64) |
#s(approx (+ (- (* (* x 3) x) (* x 4)) 1) (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) x)) |
(*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) x) |
(fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) |
x |
#s(literal -4 binary64) |
| Outputs |
|---|
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal 3 binary64))) |
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) x #s(literal 3 binary64))) |
(fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal 3 binary64)) |
(fma.f64 (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) x #s(literal 3 binary64)) |
(fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) |
(fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) |
#s(literal 9 binary64) |
x |
#s(literal -12 binary64) |
#s(literal 3 binary64) |
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) #s(literal 3 binary64)) |
#s(literal 3 binary64) |
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (*.f64 (*.f64 x x) #s(literal 9 binary64))) |
(*.f64 (*.f64 x x) #s(literal 9 binary64)) |
(*.f64 x x) |
x |
#s(literal 9 binary64) |
(*.f64 #s(literal 3 binary64) #s(approx (+ (- (* (* x 3) x) (* x 4)) 1) (fma.f64 x #s(literal -4 binary64) #s(literal 1 binary64)))) |
(*.f64 #s(approx (+ (- (* (* x 3) x) (* x 4)) 1) (fma.f64 #s(literal -4 binary64) x #s(literal 1 binary64))) #s(literal 3 binary64)) |
#s(literal 3 binary64) |
#s(approx (+ (- (* (* x 3) x) (* x 4)) 1) (fma.f64 x #s(literal -4 binary64) #s(literal 1 binary64))) |
#s(approx (+ (- (* (* x 3) x) (* x 4)) 1) (fma.f64 #s(literal -4 binary64) x #s(literal 1 binary64))) |
(fma.f64 x #s(literal -4 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal -4 binary64) x #s(literal 1 binary64)) |
x |
#s(literal -4 binary64) |
#s(literal 1 binary64) |
(*.f64 #s(literal 3 binary64) #s(approx (+ (- (* (* x 3) x) (* x 4)) 1) (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) x))) |
(*.f64 #s(approx (+ (- (* (* x 3) x) (* x 4)) 1) (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) x)) #s(literal 3 binary64)) |
#s(literal 3 binary64) |
#s(approx (+ (- (* (* x 3) x) (* x 4)) 1) (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) x)) |
(*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) x) |
(fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) |
x |
#s(literal -4 binary64) |
Found 14 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) | |
| accuracy | 0.0625 | (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) x) | |
| accuracy | 0.0625 | (*.f64 #s(literal 3 binary64) #s(approx (+ (- (* (* x 3) x) (* x 4)) 1) (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) x))) | |
| accuracy | 27.740608096255496 | #s(approx (+ (- (* (* x 3) x) (* x 4)) 1) (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) x)) | |
| accuracy | 0 | (fma.f64 x #s(literal -4 binary64) #s(literal 1 binary64)) | |
| accuracy | 0.0625 | (*.f64 #s(literal 3 binary64) #s(approx (+ (- (* (* x 3) x) (* x 4)) 1) (fma.f64 x #s(literal -4 binary64) #s(literal 1 binary64)))) | |
| accuracy | 34.056643375578346 | #s(approx (+ (- (* (* x 3) x) (* x 4)) 1) (fma.f64 x #s(literal -4 binary64) #s(literal 1 binary64))) | |
| accuracy | 0 | (*.f64 x x) | |
| accuracy | 0.18677258277819153 | (*.f64 (*.f64 x x) #s(literal 9 binary64)) | |
| accuracy | 28.0687633873476 | #s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (*.f64 (*.f64 x x) #s(literal 9 binary64))) | |
| accuracy | 34.50838644557535 | #s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) #s(literal 3 binary64)) | |
| accuracy | 0 | (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) | |
| accuracy | 0 | #s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal 3 binary64))) | |
| accuracy | 0.0390625 | (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal 3 binary64)) |
| 56.0ms | 229× | 0 | valid |
| 6.0ms | 16× | 2 | valid |
| 4.0ms | 11× | 1 | valid |
Compiled 233 to 46 computations (80.3% saved)
ival-mult: 17.0ms (53.9% of total)ival-add: 10.0ms (31.7% of total)adjust: 2.0ms (6.3% of total)ival-sub: 1.0ms (3.2% of total)exact: 1.0ms (3.2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt #s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal 3 binary64))) (patch #s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal 3 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal 3 binary64)) (patch (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal 3 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) (patch (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) #s(literal 3 binary64)) (patch #s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) #s(literal 3 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (*.f64 (*.f64 x x) #s(literal 9 binary64))) (patch #s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (*.f64 (*.f64 x x) #s(literal 9 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 x x) #s(literal 9 binary64)) (patch (*.f64 (*.f64 x x) #s(literal 9 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 3 binary64) #s(approx (+ (- (* (* x 3) x) (* x 4)) 1) (fma.f64 x #s(literal -4 binary64) #s(literal 1 binary64)))) (patch (*.f64 #s(literal 3 binary64) #s(approx (+ (- (* (* x 3) x) (* x 4)) 1) (fma.f64 x #s(literal -4 binary64) #s(literal 1 binary64)))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (- (* (* x 3) x) (* x 4)) 1) (fma.f64 x #s(literal -4 binary64) #s(literal 1 binary64))) (patch #s(approx (+ (- (* (* x 3) x) (* x 4)) 1) (fma.f64 x #s(literal -4 binary64) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 x #s(literal -4 binary64) #s(literal 1 binary64)) (patch (fma.f64 x #s(literal -4 binary64) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 3 binary64) #s(approx (+ (- (* (* x 3) x) (* x 4)) 1) (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) x))) (patch (*.f64 #s(literal 3 binary64) #s(approx (+ (- (* (* x 3) x) (* x 4)) 1) (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) x))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (- (* (* x 3) x) (* x 4)) 1) (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) x)) (patch #s(approx (+ (- (* (* x 3) x) (* x 4)) 1) (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) x)) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) x) (patch (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) x) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) (patch (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt 3 (taylor 0 x) (#s(alt #s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal 3 binary64))) (patch #s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 3 (* -12 x)) (taylor 0 x) (#s(alt #s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal 3 binary64))) (patch #s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 3 (* x (- (* 9 x) 12))) (taylor 0 x) (#s(alt #s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal 3 binary64))) (patch #s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 3 (* x (- (* 9 x) 12))) (taylor 0 x) (#s(alt #s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal 3 binary64))) (patch #s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt 3 (taylor 0 x) (#s(alt (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal 3 binary64)) (patch (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 3 (* -12 x)) (taylor 0 x) (#s(alt (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal 3 binary64)) (patch (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 3 (* x (- (* 9 x) 12))) (taylor 0 x) (#s(alt (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal 3 binary64)) (patch (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 3 (* x (- (* 9 x) 12))) (taylor 0 x) (#s(alt (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal 3 binary64)) (patch (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt -12 (taylor 0 x) (#s(alt (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) (patch (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (* 9 x) 12) (taylor 0 x) (#s(alt (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) (patch (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (* 9 x) 12) (taylor 0 x) (#s(alt (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) (patch (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (* 9 x) 12) (taylor 0 x) (#s(alt (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) (patch (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) #<representation binary64>) () ())) ()) |
#s(alt 3 (taylor 0 x) (#s(alt #s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) #s(literal 3 binary64)) (patch #s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 3 (* -12 x)) (taylor 0 x) (#s(alt #s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) #s(literal 3 binary64)) (patch #s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 3 (* x (- (* 9 x) 12))) (taylor 0 x) (#s(alt #s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) #s(literal 3 binary64)) (patch #s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 3 (* x (- (* 9 x) 12))) (taylor 0 x) (#s(alt #s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) #s(literal 3 binary64)) (patch #s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt 3 (taylor 0 x) (#s(alt #s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (*.f64 (*.f64 x x) #s(literal 9 binary64))) (patch #s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (*.f64 (*.f64 x x) #s(literal 9 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 3 (* -12 x)) (taylor 0 x) (#s(alt #s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (*.f64 (*.f64 x x) #s(literal 9 binary64))) (patch #s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (*.f64 (*.f64 x x) #s(literal 9 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 3 (* x (- (* 9 x) 12))) (taylor 0 x) (#s(alt #s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (*.f64 (*.f64 x x) #s(literal 9 binary64))) (patch #s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (*.f64 (*.f64 x x) #s(literal 9 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 3 (* x (- (* 9 x) 12))) (taylor 0 x) (#s(alt #s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (*.f64 (*.f64 x x) #s(literal 9 binary64))) (patch #s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (*.f64 (*.f64 x x) #s(literal 9 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 9 (pow x 2)) (taylor 0 x) (#s(alt (*.f64 (*.f64 x x) #s(literal 9 binary64)) (patch (*.f64 (*.f64 x x) #s(literal 9 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 9 (pow x 2)) (taylor 0 x) (#s(alt (*.f64 (*.f64 x x) #s(literal 9 binary64)) (patch (*.f64 (*.f64 x x) #s(literal 9 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 9 (pow x 2)) (taylor 0 x) (#s(alt (*.f64 (*.f64 x x) #s(literal 9 binary64)) (patch (*.f64 (*.f64 x x) #s(literal 9 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 9 (pow x 2)) (taylor 0 x) (#s(alt (*.f64 (*.f64 x x) #s(literal 9 binary64)) (patch (*.f64 (*.f64 x x) #s(literal 9 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt 3 (taylor 0 x) (#s(alt (*.f64 #s(literal 3 binary64) #s(approx (+ (- (* (* x 3) x) (* x 4)) 1) (fma.f64 x #s(literal -4 binary64) #s(literal 1 binary64)))) (patch (*.f64 #s(literal 3 binary64) #s(approx (+ (- (* (* x 3) x) (* x 4)) 1) (fma.f64 x #s(literal -4 binary64) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
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#s(alt (* (pow x 2) (- 3 (* 4 (/ 1 x)))) (taylor -inf x) (#s(alt (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) x) (patch (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- 3 (* 4 (/ 1 x)))) (taylor -inf x) (#s(alt (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) x) (patch (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (* 3 x) (taylor -inf x) (#s(alt (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) (patch (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* 4 (/ 1 x)) 3))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) (patch (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* 4 (/ 1 x)) 3))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) (patch (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* 4 (/ 1 x)) 3))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) (patch (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) #<representation binary64>) () ())) ()) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | x | @ | -inf | ((* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (+ (* (+ (* 9 x) -12) x) 3) (+ (* 9 x) -12) (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (* (* x x) 9) (* x x) (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (+ (- (* (* x 3) x) (* x 4)) 1) (+ (* x -4) 1) (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (+ (- (* (* x 3) x) (* x 4)) 1) (* (+ (* 3 x) -4) x) (+ (* 3 x) -4)) |
| 2.0ms | x | @ | inf | ((* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (+ (* (+ (* 9 x) -12) x) 3) (+ (* 9 x) -12) (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (* (* x x) 9) (* x x) (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (+ (- (* (* x 3) x) (* x 4)) 1) (+ (* x -4) 1) (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (+ (- (* (* x 3) x) (* x 4)) 1) (* (+ (* 3 x) -4) x) (+ (* 3 x) -4)) |
| 1.0ms | x | @ | 0 | ((* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (+ (* (+ (* 9 x) -12) x) 3) (+ (* 9 x) -12) (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (* (* x x) 9) (* x x) (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (+ (- (* (* x 3) x) (* x 4)) 1) (+ (* x -4) 1) (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (+ (- (* (* x 3) x) (* x 4)) 1) (* (+ (* 3 x) -4) x) (+ (* 3 x) -4)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 63 | 1024 |
| 1 | 170 | 1024 |
| 2 | 430 | 1000 |
| 3 | 1071 | 1000 |
| 4 | 2281 | 1000 |
| 5 | 4877 | 1000 |
| 6 | 7479 | 1000 |
| 0 | 8035 | 844 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
3 |
(+ 3 (* -12 x)) |
(+ 3 (* x (- (* 9 x) 12))) |
(+ 3 (* x (- (* 9 x) 12))) |
3 |
(+ 3 (* -12 x)) |
(+ 3 (* x (- (* 9 x) 12))) |
(+ 3 (* x (- (* 9 x) 12))) |
-12 |
(- (* 9 x) 12) |
(- (* 9 x) 12) |
(- (* 9 x) 12) |
3 |
(+ 3 (* -12 x)) |
(+ 3 (* x (- (* 9 x) 12))) |
(+ 3 (* x (- (* 9 x) 12))) |
3 |
(+ 3 (* -12 x)) |
(+ 3 (* x (- (* 9 x) 12))) |
(+ 3 (* x (- (* 9 x) 12))) |
(* 9 (pow x 2)) |
(* 9 (pow x 2)) |
(* 9 (pow x 2)) |
(* 9 (pow x 2)) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
3 |
(+ 3 (* -12 x)) |
(+ 3 (* x (- (* 9 x) 12))) |
(+ 3 (* x (- (* 9 x) 12))) |
1 |
(+ 1 (* -4 x)) |
(+ 1 (* x (- (* 3 x) 4))) |
(+ 1 (* x (- (* 3 x) 4))) |
1 |
(+ 1 (* -4 x)) |
(+ 1 (* -4 x)) |
(+ 1 (* -4 x)) |
3 |
(+ 3 (* -12 x)) |
(+ 3 (* x (- (* 9 x) 12))) |
(+ 3 (* x (- (* 9 x) 12))) |
1 |
(+ 1 (* -4 x)) |
(+ 1 (* x (- (* 3 x) 4))) |
(+ 1 (* x (- (* 3 x) 4))) |
(* -4 x) |
(* x (- (* 3 x) 4)) |
(* x (- (* 3 x) 4)) |
(* x (- (* 3 x) 4)) |
-4 |
(- (* 3 x) 4) |
(- (* 3 x) 4) |
(- (* 3 x) 4) |
(* 9 (pow x 2)) |
(* (pow x 2) (- 9 (* 12 (/ 1 x)))) |
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x)))) |
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x)))) |
(* 9 (pow x 2)) |
(* (pow x 2) (- 9 (* 12 (/ 1 x)))) |
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x)))) |
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x)))) |
(* 9 x) |
(* x (- 9 (* 12 (/ 1 x)))) |
(* x (- 9 (* 12 (/ 1 x)))) |
(* x (- 9 (* 12 (/ 1 x)))) |
(* 9 (pow x 2)) |
(* (pow x 2) (- 9 (* 12 (/ 1 x)))) |
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x)))) |
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x)))) |
(* 9 (pow x 2)) |
(* (pow x 2) (- 9 (* 12 (/ 1 x)))) |
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x)))) |
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x)))) |
(* 9 (pow x 2)) |
(* 9 (pow x 2)) |
(* 9 (pow x 2)) |
(* 9 (pow x 2)) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(* 9 (pow x 2)) |
(* (pow x 2) (- 9 (* 12 (/ 1 x)))) |
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x)))) |
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x)))) |
(* 3 (pow x 2)) |
(* (pow x 2) (- 3 (* 4 (/ 1 x)))) |
(* (pow x 2) (- (+ 3 (/ 1 (pow x 2))) (* 4 (/ 1 x)))) |
(* (pow x 2) (- (+ 3 (/ 1 (pow x 2))) (* 4 (/ 1 x)))) |
(* -4 x) |
(* x (- (/ 1 x) 4)) |
(* x (- (/ 1 x) 4)) |
(* x (- (/ 1 x) 4)) |
(* 9 (pow x 2)) |
(* (pow x 2) (- 9 (* 12 (/ 1 x)))) |
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x)))) |
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x)))) |
(* 3 (pow x 2)) |
(* (pow x 2) (- 3 (* 4 (/ 1 x)))) |
(* (pow x 2) (- (+ 3 (/ 1 (pow x 2))) (* 4 (/ 1 x)))) |
(* (pow x 2) (- (+ 3 (/ 1 (pow x 2))) (* 4 (/ 1 x)))) |
(* 3 (pow x 2)) |
(* (pow x 2) (- 3 (* 4 (/ 1 x)))) |
(* (pow x 2) (- 3 (* 4 (/ 1 x)))) |
(* (pow x 2) (- 3 (* 4 (/ 1 x)))) |
(* 3 x) |
(* x (- 3 (* 4 (/ 1 x)))) |
(* x (- 3 (* 4 (/ 1 x)))) |
(* x (- 3 (* 4 (/ 1 x)))) |
(* 9 (pow x 2)) |
(* (pow x 2) (- 9 (* 12 (/ 1 x)))) |
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x)))) |
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x)))) |
(* 9 (pow x 2)) |
(* (pow x 2) (- 9 (* 12 (/ 1 x)))) |
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x)))) |
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x)))) |
(* 9 x) |
(* -1 (* x (- (* 12 (/ 1 x)) 9))) |
(* -1 (* x (- (* 12 (/ 1 x)) 9))) |
(* -1 (* x (- (* 12 (/ 1 x)) 9))) |
(* 9 (pow x 2)) |
(* (pow x 2) (- 9 (* 12 (/ 1 x)))) |
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x)))) |
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x)))) |
(* 9 (pow x 2)) |
(* (pow x 2) (- 9 (* 12 (/ 1 x)))) |
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x)))) |
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x)))) |
(* 9 (pow x 2)) |
(* 9 (pow x 2)) |
(* 9 (pow x 2)) |
(* 9 (pow x 2)) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(* 9 (pow x 2)) |
(* (pow x 2) (- 9 (* 12 (/ 1 x)))) |
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x)))) |
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x)))) |
(* 3 (pow x 2)) |
(* (pow x 2) (- 3 (* 4 (/ 1 x)))) |
(* (pow x 2) (+ 3 (* -1 (/ (- 4 (/ 1 x)) x)))) |
(* (pow x 2) (+ 3 (* -1 (/ (- 4 (/ 1 x)) x)))) |
(* -4 x) |
(* -1 (* x (- 4 (/ 1 x)))) |
(* -1 (* x (- 4 (/ 1 x)))) |
(* -1 (* x (- 4 (/ 1 x)))) |
(* 9 (pow x 2)) |
(* (pow x 2) (- 9 (* 12 (/ 1 x)))) |
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x)))) |
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x)))) |
(* 3 (pow x 2)) |
(* (pow x 2) (- 3 (* 4 (/ 1 x)))) |
(* (pow x 2) (+ 3 (* -1 (/ (- 4 (/ 1 x)) x)))) |
(* (pow x 2) (+ 3 (* -1 (/ (- 4 (/ 1 x)) x)))) |
(* 3 (pow x 2)) |
(* (pow x 2) (- 3 (* 4 (/ 1 x)))) |
(* (pow x 2) (- 3 (* 4 (/ 1 x)))) |
(* (pow x 2) (- 3 (* 4 (/ 1 x)))) |
(* 3 x) |
(* -1 (* x (- (* 4 (/ 1 x)) 3))) |
(* -1 (* x (- (* 4 (/ 1 x)) 3))) |
(* -1 (* x (- (* 4 (/ 1 x)) 3))) |
| Outputs |
|---|
3 |
#s(literal 3 binary64) |
(+ 3 (* -12 x)) |
(fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64)) |
(+ 3 (* x (- (* 9 x) 12))) |
(fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal 3 binary64)) |
(+ 3 (* x (- (* 9 x) 12))) |
(fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal 3 binary64)) |
3 |
#s(literal 3 binary64) |
(+ 3 (* -12 x)) |
(fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64)) |
(+ 3 (* x (- (* 9 x) 12))) |
(fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal 3 binary64)) |
(+ 3 (* x (- (* 9 x) 12))) |
(fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal 3 binary64)) |
-12 |
#s(literal -12 binary64) |
(- (* 9 x) 12) |
(fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) |
(- (* 9 x) 12) |
(fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) |
(- (* 9 x) 12) |
(fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) |
3 |
#s(literal 3 binary64) |
(+ 3 (* -12 x)) |
(fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64)) |
(+ 3 (* x (- (* 9 x) 12))) |
(fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal 3 binary64)) |
(+ 3 (* x (- (* 9 x) 12))) |
(fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal 3 binary64)) |
3 |
#s(literal 3 binary64) |
(+ 3 (* -12 x)) |
(fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64)) |
(+ 3 (* x (- (* 9 x) 12))) |
(fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal 3 binary64)) |
(+ 3 (* x (- (* 9 x) 12))) |
(fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal 3 binary64)) |
(* 9 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 9 binary64)) |
(* 9 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 9 binary64)) |
(* 9 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 9 binary64)) |
(* 9 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 9 binary64)) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
3 |
#s(literal 3 binary64) |
(+ 3 (* -12 x)) |
(fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64)) |
(+ 3 (* x (- (* 9 x) 12))) |
(fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal 3 binary64)) |
(+ 3 (* x (- (* 9 x) 12))) |
(fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal 3 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -4 x)) |
(fma.f64 #s(literal -4 binary64) x #s(literal 1 binary64)) |
(+ 1 (* x (- (* 3 x) 4))) |
(fma.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) x #s(literal 1 binary64)) |
(+ 1 (* x (- (* 3 x) 4))) |
(fma.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) x #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -4 x)) |
(fma.f64 #s(literal -4 binary64) x #s(literal 1 binary64)) |
(+ 1 (* -4 x)) |
(fma.f64 #s(literal -4 binary64) x #s(literal 1 binary64)) |
(+ 1 (* -4 x)) |
(fma.f64 #s(literal -4 binary64) x #s(literal 1 binary64)) |
3 |
#s(literal 3 binary64) |
(+ 3 (* -12 x)) |
(fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64)) |
(+ 3 (* x (- (* 9 x) 12))) |
(fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal 3 binary64)) |
(+ 3 (* x (- (* 9 x) 12))) |
(fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal 3 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -4 x)) |
(fma.f64 #s(literal -4 binary64) x #s(literal 1 binary64)) |
(+ 1 (* x (- (* 3 x) 4))) |
(fma.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) x #s(literal 1 binary64)) |
(+ 1 (* x (- (* 3 x) 4))) |
(fma.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) x #s(literal 1 binary64)) |
(* -4 x) |
(*.f64 #s(literal -4 binary64) x) |
(* x (- (* 3 x) 4)) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) x) |
(* x (- (* 3 x) 4)) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) x) |
(* x (- (* 3 x) 4)) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) x) |
-4 |
#s(literal -4 binary64) |
(- (* 3 x) 4) |
(fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) |
(- (* 3 x) 4) |
(fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) |
(- (* 3 x) 4) |
(fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) |
(* 9 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 9 binary64)) |
(* (pow x 2) (- 9 (* 12 (/ 1 x)))) |
(*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x) |
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x)))) |
(fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal 3 binary64)) |
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x)))) |
(fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal 3 binary64)) |
(* 9 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 9 binary64)) |
(* (pow x 2) (- 9 (* 12 (/ 1 x)))) |
(*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x) |
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x)))) |
(fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal 3 binary64)) |
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x)))) |
(fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal 3 binary64)) |
(* 9 x) |
(*.f64 #s(literal 9 binary64) x) |
(* x (- 9 (* 12 (/ 1 x)))) |
(fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) |
(* x (- 9 (* 12 (/ 1 x)))) |
(fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) |
(* x (- 9 (* 12 (/ 1 x)))) |
(fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) |
(* 9 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 9 binary64)) |
(* (pow x 2) (- 9 (* 12 (/ 1 x)))) |
(*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x) |
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x)))) |
(fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal 3 binary64)) |
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x)))) |
(fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal 3 binary64)) |
(* 9 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 9 binary64)) |
(* (pow x 2) (- 9 (* 12 (/ 1 x)))) |
(*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x) |
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x)))) |
(fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal 3 binary64)) |
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x)))) |
(fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal 3 binary64)) |
(* 9 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 9 binary64)) |
(* 9 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 9 binary64)) |
(* 9 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 9 binary64)) |
(* 9 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 9 binary64)) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(* 9 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 9 binary64)) |
(* (pow x 2) (- 9 (* 12 (/ 1 x)))) |
(*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x) |
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x)))) |
(fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal 3 binary64)) |
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x)))) |
(fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal 3 binary64)) |
(* 3 (pow x 2)) |
(*.f64 (*.f64 x #s(literal 3 binary64)) x) |
(* (pow x 2) (- 3 (* 4 (/ 1 x)))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) x) |
(* (pow x 2) (- (+ 3 (/ 1 (pow x 2))) (* 4 (/ 1 x)))) |
(fma.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) x #s(literal 1 binary64)) |
(* (pow x 2) (- (+ 3 (/ 1 (pow x 2))) (* 4 (/ 1 x)))) |
(fma.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) x #s(literal 1 binary64)) |
(* -4 x) |
(*.f64 #s(literal -4 binary64) x) |
(* x (- (/ 1 x) 4)) |
(fma.f64 #s(literal -4 binary64) x #s(literal 1 binary64)) |
(* x (- (/ 1 x) 4)) |
(fma.f64 #s(literal -4 binary64) x #s(literal 1 binary64)) |
(* x (- (/ 1 x) 4)) |
(fma.f64 #s(literal -4 binary64) x #s(literal 1 binary64)) |
(* 9 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 9 binary64)) |
(* (pow x 2) (- 9 (* 12 (/ 1 x)))) |
(*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x) |
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x)))) |
(fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal 3 binary64)) |
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x)))) |
(fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal 3 binary64)) |
(* 3 (pow x 2)) |
(*.f64 (*.f64 x #s(literal 3 binary64)) x) |
(* (pow x 2) (- 3 (* 4 (/ 1 x)))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) x) |
(* (pow x 2) (- (+ 3 (/ 1 (pow x 2))) (* 4 (/ 1 x)))) |
(fma.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) x #s(literal 1 binary64)) |
(* (pow x 2) (- (+ 3 (/ 1 (pow x 2))) (* 4 (/ 1 x)))) |
(fma.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) x #s(literal 1 binary64)) |
(* 3 (pow x 2)) |
(*.f64 (*.f64 x #s(literal 3 binary64)) x) |
(* (pow x 2) (- 3 (* 4 (/ 1 x)))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) x) |
(* (pow x 2) (- 3 (* 4 (/ 1 x)))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) x) |
(* (pow x 2) (- 3 (* 4 (/ 1 x)))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) x) |
(* 3 x) |
(*.f64 x #s(literal 3 binary64)) |
(* x (- 3 (* 4 (/ 1 x)))) |
(fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) |
(* x (- 3 (* 4 (/ 1 x)))) |
(fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) |
(* x (- 3 (* 4 (/ 1 x)))) |
(fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) |
(* 9 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 9 binary64)) |
(* (pow x 2) (- 9 (* 12 (/ 1 x)))) |
(*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x) |
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x)))) |
(fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal 3 binary64)) |
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x)))) |
(fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal 3 binary64)) |
(* 9 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 9 binary64)) |
(* (pow x 2) (- 9 (* 12 (/ 1 x)))) |
(*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x) |
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x)))) |
(fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal 3 binary64)) |
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x)))) |
(fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal 3 binary64)) |
(* 9 x) |
(*.f64 #s(literal 9 binary64) x) |
(* -1 (* x (- (* 12 (/ 1 x)) 9))) |
(fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) |
(* -1 (* x (- (* 12 (/ 1 x)) 9))) |
(fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) |
(* -1 (* x (- (* 12 (/ 1 x)) 9))) |
(fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) |
(* 9 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 9 binary64)) |
(* (pow x 2) (- 9 (* 12 (/ 1 x)))) |
(*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x) |
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x)))) |
(fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal 3 binary64)) |
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x)))) |
(fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal 3 binary64)) |
(* 9 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 9 binary64)) |
(* (pow x 2) (- 9 (* 12 (/ 1 x)))) |
(*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x) |
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x)))) |
(fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal 3 binary64)) |
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x)))) |
(fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal 3 binary64)) |
(* 9 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 9 binary64)) |
(* 9 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 9 binary64)) |
(* 9 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 9 binary64)) |
(* 9 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 9 binary64)) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(* 9 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 9 binary64)) |
(* (pow x 2) (- 9 (* 12 (/ 1 x)))) |
(*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x) |
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x)))) |
(fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal 3 binary64)) |
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x)))) |
(fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal 3 binary64)) |
(* 3 (pow x 2)) |
(*.f64 (*.f64 x #s(literal 3 binary64)) x) |
(* (pow x 2) (- 3 (* 4 (/ 1 x)))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) x) |
(* (pow x 2) (+ 3 (* -1 (/ (- 4 (/ 1 x)) x)))) |
(fma.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) x #s(literal 1 binary64)) |
(* (pow x 2) (+ 3 (* -1 (/ (- 4 (/ 1 x)) x)))) |
(fma.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) x #s(literal 1 binary64)) |
(* -4 x) |
(*.f64 #s(literal -4 binary64) x) |
(* -1 (* x (- 4 (/ 1 x)))) |
(fma.f64 #s(literal -4 binary64) x #s(literal 1 binary64)) |
(* -1 (* x (- 4 (/ 1 x)))) |
(fma.f64 #s(literal -4 binary64) x #s(literal 1 binary64)) |
(* -1 (* x (- 4 (/ 1 x)))) |
(fma.f64 #s(literal -4 binary64) x #s(literal 1 binary64)) |
(* 9 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 9 binary64)) |
(* (pow x 2) (- 9 (* 12 (/ 1 x)))) |
(*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x) |
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x)))) |
(fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal 3 binary64)) |
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x)))) |
(fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal 3 binary64)) |
(* 3 (pow x 2)) |
(*.f64 (*.f64 x #s(literal 3 binary64)) x) |
(* (pow x 2) (- 3 (* 4 (/ 1 x)))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) x) |
(* (pow x 2) (+ 3 (* -1 (/ (- 4 (/ 1 x)) x)))) |
(fma.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) x #s(literal 1 binary64)) |
(* (pow x 2) (+ 3 (* -1 (/ (- 4 (/ 1 x)) x)))) |
(fma.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) x #s(literal 1 binary64)) |
(* 3 (pow x 2)) |
(*.f64 (*.f64 x #s(literal 3 binary64)) x) |
(* (pow x 2) (- 3 (* 4 (/ 1 x)))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) x) |
(* (pow x 2) (- 3 (* 4 (/ 1 x)))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) x) |
(* (pow x 2) (- 3 (* 4 (/ 1 x)))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) x) |
(* 3 x) |
(*.f64 x #s(literal 3 binary64)) |
(* -1 (* x (- (* 4 (/ 1 x)) 3))) |
(fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) |
(* -1 (* x (- (* 4 (/ 1 x)) 3))) |
(fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) |
(* -1 (* x (- (* 4 (/ 1 x)) 3))) |
(fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 160 |
| 0 | 40 | 160 |
| 1 | 150 | 130 |
| 2 | 1029 | 130 |
| 0 | 8764 | 126 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal 3 binary64))) |
(fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal 3 binary64)) |
(fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) |
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) #s(literal 3 binary64)) |
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (*.f64 (*.f64 x x) #s(literal 9 binary64))) |
(*.f64 (*.f64 x x) #s(literal 9 binary64)) |
(*.f64 x x) |
(*.f64 #s(literal 3 binary64) #s(approx (+ (- (* (* x 3) x) (* x 4)) 1) (fma.f64 x #s(literal -4 binary64) #s(literal 1 binary64)))) |
#s(approx (+ (- (* (* x 3) x) (* x 4)) 1) (fma.f64 x #s(literal -4 binary64) #s(literal 1 binary64))) |
(fma.f64 x #s(literal -4 binary64) #s(literal 1 binary64)) |
(*.f64 #s(literal 3 binary64) #s(approx (+ (- (* (* x 3) x) (* x 4)) 1) (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) x))) |
#s(approx (+ (- (* (* x 3) x) (* x 4)) 1) (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) x)) |
(*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) x) |
(fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) |
| Outputs |
|---|
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Compiled 8 922 to 1 493 computations (83.3% saved)
10 alts after pruning (5 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 541 | 2 | 543 |
| Fresh | 1 | 3 | 4 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 0 | 0 |
| Total | 542 | 10 | 552 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.9% | (fma.f64 (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) x) #s(literal 3 binary64) #s(literal 3 binary64)) |
| ✓ | 46.8% | (*.f64 #s(literal 3 binary64) #s(approx (+ (- (* (* x 3) x) (* x 4)) 1) (fma.f64 x #s(literal -4 binary64) #s(literal 1 binary64)))) |
| ✓ | 56.5% | (*.f64 #s(literal 3 binary64) #s(approx (+ (- (* (* x 3) x) (* x 4)) 1) (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) x))) |
| ▶ | 56.0% | (*.f64 #s(literal 3 binary64) #s(approx (+ (- (* (* x 3) x) (* x 4)) 1) (*.f64 (*.f64 x x) #s(literal 3 binary64)))) |
| ✓ | 99.9% | #s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal 3 binary64))) |
| ▶ | 46.8% | #s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 #s(approx (+ (* 9 x) -12) #s(literal -12 binary64)) x #s(literal 3 binary64))) |
| ▶ | 56.6% | #s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x)) |
| ✓ | 56.0% | #s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (*.f64 (*.f64 x x) #s(literal 9 binary64))) |
| ▶ | 56.1% | #s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (*.f64 (*.f64 x #s(literal 9 binary64)) x)) |
| ✓ | 46.1% | #s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) #s(literal 3 binary64)) |
Compiled 104 to 87 computations (16.3% saved)
| 1× | egg-herbie |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (*.f64 (*.f64 x x) #s(literal 3 binary64)) | |
| cost-diff | 0 | #s(approx (+ (- (* (* x 3) x) (* x 4)) 1) (*.f64 (*.f64 x x) #s(literal 3 binary64))) | |
| cost-diff | 0 | (*.f64 #s(literal 3 binary64) #s(approx (+ (- (* (* x 3) x) (* x 4)) 1) (*.f64 (*.f64 x x) #s(literal 3 binary64)))) | |
| cost-diff | 0 | (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) | |
| cost-diff | 0 | (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x) | |
| cost-diff | 0 | #s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x)) | |
| cost-diff | 0 | (*.f64 x #s(literal 9 binary64)) | |
| cost-diff | 0 | (*.f64 (*.f64 x #s(literal 9 binary64)) x) | |
| cost-diff | 0 | #s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (*.f64 (*.f64 x #s(literal 9 binary64)) x)) | |
| cost-diff | 0 | #s(approx (+ (* 9 x) -12) #s(literal -12 binary64)) | |
| cost-diff | 0 | (fma.f64 #s(approx (+ (* 9 x) -12) #s(literal -12 binary64)) x #s(literal 3 binary64)) | |
| cost-diff | 0 | #s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 #s(approx (+ (* 9 x) -12) #s(literal -12 binary64)) x #s(literal 3 binary64))) | |
| cost-diff | 0 | (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) | |
| cost-diff | 0 | (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) x) | |
| cost-diff | 320 | (fma.f64 (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) x) #s(literal 3 binary64) #s(literal 3 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 171 |
| 0 | 45 | 171 |
| 1 | 84 | 153 |
| 2 | 132 | 149 |
| 3 | 217 | 149 |
| 4 | 320 | 149 |
| 5 | 425 | 149 |
| 6 | 637 | 149 |
| 7 | 986 | 149 |
| 8 | 1308 | 149 |
| 9 | 1415 | 149 |
| 10 | 1492 | 149 |
| 11 | 1515 | 149 |
| 12 | 1524 | 149 |
| 13 | 1533 | 149 |
| 14 | 1540 | 149 |
| 15 | 1542 | 149 |
| 0 | 1542 | 143 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) x) #s(literal 3 binary64) #s(literal 3 binary64)) |
(*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) x) |
(fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) |
#s(literal 3 binary64) |
x |
#s(literal -4 binary64) |
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 #s(approx (+ (* 9 x) -12) #s(literal -12 binary64)) x #s(literal 3 binary64))) |
(fma.f64 #s(approx (+ (* 9 x) -12) #s(literal -12 binary64)) x #s(literal 3 binary64)) |
#s(approx (+ (* 9 x) -12) #s(literal -12 binary64)) |
#s(literal -12 binary64) |
x |
#s(literal 3 binary64) |
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (*.f64 (*.f64 x #s(literal 9 binary64)) x)) |
(*.f64 (*.f64 x #s(literal 9 binary64)) x) |
(*.f64 x #s(literal 9 binary64)) |
x |
#s(literal 9 binary64) |
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x)) |
(*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x) |
(fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) |
#s(literal 9 binary64) |
x |
#s(literal -12 binary64) |
(*.f64 #s(literal 3 binary64) #s(approx (+ (- (* (* x 3) x) (* x 4)) 1) (*.f64 (*.f64 x x) #s(literal 3 binary64)))) |
#s(literal 3 binary64) |
#s(approx (+ (- (* (* x 3) x) (* x 4)) 1) (*.f64 (*.f64 x x) #s(literal 3 binary64))) |
(*.f64 (*.f64 x x) #s(literal 3 binary64)) |
(*.f64 x x) |
x |
| Outputs |
|---|
(fma.f64 (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) x) #s(literal 3 binary64) #s(literal 3 binary64)) |
(fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal 3 binary64)) |
(*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) x) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) x) |
(fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) |
(fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) |
#s(literal 3 binary64) |
x |
#s(literal -4 binary64) |
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 #s(approx (+ (* 9 x) -12) #s(literal -12 binary64)) x #s(literal 3 binary64))) |
(fma.f64 #s(approx (+ (* 9 x) -12) #s(literal -12 binary64)) x #s(literal 3 binary64)) |
#s(approx (+ (* 9 x) -12) #s(literal -12 binary64)) |
#s(literal -12 binary64) |
x |
#s(literal 3 binary64) |
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (*.f64 (*.f64 x #s(literal 9 binary64)) x)) |
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (*.f64 (*.f64 x x) #s(literal 9 binary64))) |
(*.f64 (*.f64 x #s(literal 9 binary64)) x) |
(*.f64 (*.f64 x x) #s(literal 9 binary64)) |
(*.f64 x #s(literal 9 binary64)) |
(*.f64 #s(literal 9 binary64) x) |
x |
#s(literal 9 binary64) |
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x)) |
(*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x) |
(fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) |
#s(literal 9 binary64) |
x |
#s(literal -12 binary64) |
(*.f64 #s(literal 3 binary64) #s(approx (+ (- (* (* x 3) x) (* x 4)) 1) (*.f64 (*.f64 x x) #s(literal 3 binary64)))) |
(*.f64 #s(approx (+ (- (* (* x 3) x) (* x 4)) 1) (*.f64 (*.f64 x #s(literal 3 binary64)) x)) #s(literal 3 binary64)) |
#s(literal 3 binary64) |
#s(approx (+ (- (* (* x 3) x) (* x 4)) 1) (*.f64 (*.f64 x x) #s(literal 3 binary64))) |
#s(approx (+ (- (* (* x 3) x) (* x 4)) 1) (*.f64 (*.f64 x #s(literal 3 binary64)) x)) |
(*.f64 (*.f64 x x) #s(literal 3 binary64)) |
(*.f64 (*.f64 x #s(literal 3 binary64)) x) |
(*.f64 x x) |
x |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (*.f64 x x) | |
| accuracy | 0.0625 | (*.f64 #s(literal 3 binary64) #s(approx (+ (- (* (* x 3) x) (* x 4)) 1) (*.f64 (*.f64 x x) #s(literal 3 binary64)))) | |
| accuracy | 0.17578125 | (*.f64 (*.f64 x x) #s(literal 3 binary64)) | |
| accuracy | 28.06890772957945 | #s(approx (+ (- (* (* x 3) x) (* x 4)) 1) (*.f64 (*.f64 x x) #s(literal 3 binary64))) | |
| accuracy | 0 | (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) | |
| accuracy | 0.11328125 | (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x) | |
| accuracy | 27.743391668877543 | #s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x)) | |
| accuracy | 0 | (*.f64 x #s(literal 9 binary64)) | |
| accuracy | 0.08203125 | (*.f64 (*.f64 x #s(literal 9 binary64)) x) | |
| accuracy | 28.0687633873476 | #s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (*.f64 (*.f64 x #s(literal 9 binary64)) x)) | |
| accuracy | 0 | #s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 #s(approx (+ (* 9 x) -12) #s(literal -12 binary64)) x #s(literal 3 binary64))) | |
| accuracy | 0.0390625 | (fma.f64 #s(approx (+ (* 9 x) -12) #s(literal -12 binary64)) x #s(literal 3 binary64)) | |
| accuracy | 34.78930106761077 | #s(approx (+ (* 9 x) -12) #s(literal -12 binary64)) | |
| accuracy | 0 | (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) | |
| accuracy | 0.05859375 | (fma.f64 (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) x) #s(literal 3 binary64) #s(literal 3 binary64)) | |
| accuracy | 0.0625 | (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) x) |
| 41.0ms | 212× | 0 | valid |
| 11.0ms | 23× | 1 | valid |
| 8.0ms | 21× | 2 | valid |
Compiled 241 to 49 computations (79.7% saved)
ival-mult: 23.0ms (61.7% of total)ival-add: 9.0ms (24.1% of total)adjust: 3.0ms (8% of total)ival-sub: 1.0ms (2.7% of total)exact: 1.0ms (2.7% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (fma.f64 (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) x) #s(literal 3 binary64) #s(literal 3 binary64)) (patch (fma.f64 (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) x) #s(literal 3 binary64) #s(literal 3 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) x) (patch (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) x) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) (patch (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 #s(approx (+ (* 9 x) -12) #s(literal -12 binary64)) x #s(literal 3 binary64))) (patch #s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 #s(approx (+ (* 9 x) -12) #s(literal -12 binary64)) x #s(literal 3 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(approx (+ (* 9 x) -12) #s(literal -12 binary64)) x #s(literal 3 binary64)) (patch (fma.f64 #s(approx (+ (* 9 x) -12) #s(literal -12 binary64)) x #s(literal 3 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* 9 x) -12) #s(literal -12 binary64)) (patch #s(approx (+ (* 9 x) -12) #s(literal -12 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (*.f64 (*.f64 x #s(literal 9 binary64)) x)) (patch #s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (*.f64 (*.f64 x #s(literal 9 binary64)) x)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 x #s(literal 9 binary64)) x) (patch (*.f64 (*.f64 x #s(literal 9 binary64)) x) #<representation binary64>) () ()) |
#s(alt (*.f64 x #s(literal 9 binary64)) (patch (*.f64 x #s(literal 9 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x)) (patch #s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x)) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x) (patch (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) (patch (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 3 binary64) #s(approx (+ (- (* (* x 3) x) (* x 4)) 1) (*.f64 (*.f64 x x) #s(literal 3 binary64)))) (patch (*.f64 #s(literal 3 binary64) #s(approx (+ (- (* (* x 3) x) (* x 4)) 1) (*.f64 (*.f64 x x) #s(literal 3 binary64)))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (- (* (* x 3) x) (* x 4)) 1) (*.f64 (*.f64 x x) #s(literal 3 binary64))) (patch #s(approx (+ (- (* (* x 3) x) (* x 4)) 1) (*.f64 (*.f64 x x) #s(literal 3 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 x x) #s(literal 3 binary64)) (patch (*.f64 (*.f64 x x) #s(literal 3 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt 3 (taylor 0 x) (#s(alt (fma.f64 (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) x) #s(literal 3 binary64) #s(literal 3 binary64)) (patch (fma.f64 (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) x) #s(literal 3 binary64) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 3 (* -12 x)) (taylor 0 x) (#s(alt (fma.f64 (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) x) #s(literal 3 binary64) #s(literal 3 binary64)) (patch (fma.f64 (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) x) #s(literal 3 binary64) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 3 (* x (- (* 9 x) 12))) (taylor 0 x) (#s(alt (fma.f64 (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) x) #s(literal 3 binary64) #s(literal 3 binary64)) (patch (fma.f64 (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) x) #s(literal 3 binary64) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 3 (* x (- (* 9 x) 12))) (taylor 0 x) (#s(alt (fma.f64 (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) x) #s(literal 3 binary64) #s(literal 3 binary64)) (patch (fma.f64 (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) x) #s(literal 3 binary64) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -4 x) (taylor 0 x) (#s(alt (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) x) (patch (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (* 3 x) 4)) (taylor 0 x) (#s(alt (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) x) (patch (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (* 3 x) 4)) (taylor 0 x) (#s(alt (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) x) (patch (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (* 3 x) 4)) (taylor 0 x) (#s(alt (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) x) (patch (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt -4 (taylor 0 x) (#s(alt (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) (patch (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (* 3 x) 4) (taylor 0 x) (#s(alt (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) (patch (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (* 3 x) 4) (taylor 0 x) (#s(alt (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) (patch (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (* 3 x) 4) (taylor 0 x) (#s(alt (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) (patch (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) #<representation binary64>) () ())) ()) |
#s(alt 3 (taylor 0 x) (#s(alt #s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 #s(approx (+ (* 9 x) -12) #s(literal -12 binary64)) x #s(literal 3 binary64))) (patch #s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 #s(approx (+ (* 9 x) -12) #s(literal -12 binary64)) x #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 3 (* -12 x)) (taylor 0 x) (#s(alt #s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 #s(approx (+ (* 9 x) -12) #s(literal -12 binary64)) x #s(literal 3 binary64))) (patch #s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 #s(approx (+ (* 9 x) -12) #s(literal -12 binary64)) x #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 3 (* x (- (* 9 x) 12))) (taylor 0 x) (#s(alt #s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 #s(approx (+ (* 9 x) -12) #s(literal -12 binary64)) x #s(literal 3 binary64))) (patch #s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 #s(approx (+ (* 9 x) -12) #s(literal -12 binary64)) x #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 3 (* x (- (* 9 x) 12))) (taylor 0 x) (#s(alt #s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 #s(approx (+ (* 9 x) -12) #s(literal -12 binary64)) x #s(literal 3 binary64))) (patch #s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 #s(approx (+ (* 9 x) -12) #s(literal -12 binary64)) x #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt 3 (taylor 0 x) (#s(alt (fma.f64 #s(approx (+ (* 9 x) -12) #s(literal -12 binary64)) x #s(literal 3 binary64)) (patch (fma.f64 #s(approx (+ (* 9 x) -12) #s(literal -12 binary64)) x #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 3 (* -12 x)) (taylor 0 x) (#s(alt (fma.f64 #s(approx (+ (* 9 x) -12) #s(literal -12 binary64)) x #s(literal 3 binary64)) (patch (fma.f64 #s(approx (+ (* 9 x) -12) #s(literal -12 binary64)) x #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 3 (* x (- (* 9 x) 12))) (taylor 0 x) (#s(alt (fma.f64 #s(approx (+ (* 9 x) -12) #s(literal -12 binary64)) x #s(literal 3 binary64)) (patch (fma.f64 #s(approx (+ (* 9 x) -12) #s(literal -12 binary64)) x #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 3 (* x (- (* 9 x) 12))) (taylor 0 x) (#s(alt (fma.f64 #s(approx (+ (* 9 x) -12) #s(literal -12 binary64)) x #s(literal 3 binary64)) (patch (fma.f64 #s(approx (+ (* 9 x) -12) #s(literal -12 binary64)) x #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt -12 (taylor 0 x) (#s(alt #s(approx (+ (* 9 x) -12) #s(literal -12 binary64)) (patch #s(approx (+ (* 9 x) -12) #s(literal -12 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (* 9 x) 12) (taylor 0 x) (#s(alt #s(approx (+ (* 9 x) -12) #s(literal -12 binary64)) (patch #s(approx (+ (* 9 x) -12) #s(literal -12 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (* 9 x) 12) (taylor 0 x) (#s(alt #s(approx (+ (* 9 x) -12) #s(literal -12 binary64)) (patch #s(approx (+ (* 9 x) -12) #s(literal -12 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (* 9 x) 12) (taylor 0 x) (#s(alt #s(approx (+ (* 9 x) -12) #s(literal -12 binary64)) (patch #s(approx (+ (* 9 x) -12) #s(literal -12 binary64)) #<representation binary64>) () ())) ()) |
#s(alt 3 (taylor 0 x) (#s(alt #s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (*.f64 (*.f64 x #s(literal 9 binary64)) x)) (patch #s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (*.f64 (*.f64 x #s(literal 9 binary64)) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ 3 (* -12 x)) (taylor 0 x) (#s(alt #s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (*.f64 (*.f64 x #s(literal 9 binary64)) x)) (patch #s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (*.f64 (*.f64 x #s(literal 9 binary64)) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ 3 (* x (- (* 9 x) 12))) (taylor 0 x) (#s(alt #s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (*.f64 (*.f64 x #s(literal 9 binary64)) x)) (patch #s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (*.f64 (*.f64 x #s(literal 9 binary64)) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ 3 (* x (- (* 9 x) 12))) (taylor 0 x) (#s(alt #s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (*.f64 (*.f64 x #s(literal 9 binary64)) x)) (patch #s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (*.f64 (*.f64 x #s(literal 9 binary64)) x)) #<representation binary64>) () ())) ()) |
#s(alt (* 9 (pow x 2)) (taylor 0 x) (#s(alt (*.f64 (*.f64 x #s(literal 9 binary64)) x) (patch (*.f64 (*.f64 x #s(literal 9 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (* 9 (pow x 2)) (taylor 0 x) (#s(alt (*.f64 (*.f64 x #s(literal 9 binary64)) x) (patch (*.f64 (*.f64 x #s(literal 9 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (* 9 (pow x 2)) (taylor 0 x) (#s(alt (*.f64 (*.f64 x #s(literal 9 binary64)) x) (patch (*.f64 (*.f64 x #s(literal 9 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (* 9 (pow x 2)) (taylor 0 x) (#s(alt (*.f64 (*.f64 x #s(literal 9 binary64)) x) (patch (*.f64 (*.f64 x #s(literal 9 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (* 9 x) (taylor 0 x) (#s(alt (*.f64 x #s(literal 9 binary64)) (patch (*.f64 x #s(literal 9 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 9 x) (taylor 0 x) (#s(alt (*.f64 x #s(literal 9 binary64)) (patch (*.f64 x #s(literal 9 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 9 x) (taylor 0 x) (#s(alt (*.f64 x #s(literal 9 binary64)) (patch (*.f64 x #s(literal 9 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 9 x) (taylor 0 x) (#s(alt (*.f64 x #s(literal 9 binary64)) (patch (*.f64 x #s(literal 9 binary64)) #<representation binary64>) () ())) ()) |
#s(alt 3 (taylor 0 x) (#s(alt #s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x)) (patch #s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ 3 (* -12 x)) (taylor 0 x) (#s(alt #s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x)) (patch #s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ 3 (* x (- (* 9 x) 12))) (taylor 0 x) (#s(alt #s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x)) (patch #s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x)) #<representation binary64>) () ())) ()) |
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3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | -inf | ((+ (* (* (+ (* 3 x) -4) x) 3) 3) (* (+ (* 3 x) -4) x) (+ (* 3 x) -4) (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (+ (* (+ (* 9 x) -12) x) 3) (+ (* 9 x) -12) (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (* (* x 9) x) (* x 9) (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (* (+ (* 9 x) -12) x) (+ (* 9 x) -12) (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (+ (- (* (* x 3) x) (* x 4)) 1) (* (* x x) 3) (* x x)) |
| 2.0ms | x | @ | inf | ((+ (* (* (+ (* 3 x) -4) x) 3) 3) (* (+ (* 3 x) -4) x) (+ (* 3 x) -4) (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (+ (* (+ (* 9 x) -12) x) 3) (+ (* 9 x) -12) (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (* (* x 9) x) (* x 9) (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (* (+ (* 9 x) -12) x) (+ (* 9 x) -12) (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (+ (- (* (* x 3) x) (* x 4)) 1) (* (* x x) 3) (* x x)) |
| 1.0ms | x | @ | 0 | ((+ (* (* (+ (* 3 x) -4) x) 3) 3) (* (+ (* 3 x) -4) x) (+ (* 3 x) -4) (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (+ (* (+ (* 9 x) -12) x) 3) (+ (* 9 x) -12) (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (* (* x 9) x) (* x 9) (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (* (+ (* 9 x) -12) x) (+ (* 9 x) -12) (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (+ (- (* (* x 3) x) (* x 4)) 1) (* (* x x) 3) (* x x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 59 | 1088 |
| 1 | 160 | 1088 |
| 2 | 397 | 1088 |
| 3 | 978 | 1088 |
| 4 | 2534 | 1088 |
| 5 | 4797 | 1088 |
| 6 | 7439 | 1088 |
| 0 | 8039 | 938 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
3 |
(+ 3 (* -12 x)) |
(+ 3 (* x (- (* 9 x) 12))) |
(+ 3 (* x (- (* 9 x) 12))) |
(* -4 x) |
(* x (- (* 3 x) 4)) |
(* x (- (* 3 x) 4)) |
(* x (- (* 3 x) 4)) |
-4 |
(- (* 3 x) 4) |
(- (* 3 x) 4) |
(- (* 3 x) 4) |
3 |
(+ 3 (* -12 x)) |
(+ 3 (* x (- (* 9 x) 12))) |
(+ 3 (* x (- (* 9 x) 12))) |
3 |
(+ 3 (* -12 x)) |
(+ 3 (* x (- (* 9 x) 12))) |
(+ 3 (* x (- (* 9 x) 12))) |
-12 |
(- (* 9 x) 12) |
(- (* 9 x) 12) |
(- (* 9 x) 12) |
3 |
(+ 3 (* -12 x)) |
(+ 3 (* x (- (* 9 x) 12))) |
(+ 3 (* x (- (* 9 x) 12))) |
(* 9 (pow x 2)) |
(* 9 (pow x 2)) |
(* 9 (pow x 2)) |
(* 9 (pow x 2)) |
(* 9 x) |
(* 9 x) |
(* 9 x) |
(* 9 x) |
3 |
(+ 3 (* -12 x)) |
(+ 3 (* x (- (* 9 x) 12))) |
(+ 3 (* x (- (* 9 x) 12))) |
(* -12 x) |
(* x (- (* 9 x) 12)) |
(* x (- (* 9 x) 12)) |
(* x (- (* 9 x) 12)) |
-12 |
(- (* 9 x) 12) |
(- (* 9 x) 12) |
(- (* 9 x) 12) |
3 |
(+ 3 (* -12 x)) |
(+ 3 (* x (- (* 9 x) 12))) |
(+ 3 (* x (- (* 9 x) 12))) |
1 |
(+ 1 (* -4 x)) |
(+ 1 (* x (- (* 3 x) 4))) |
(+ 1 (* x (- (* 3 x) 4))) |
(* 3 (pow x 2)) |
(* 3 (pow x 2)) |
(* 3 (pow x 2)) |
(* 3 (pow x 2)) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(* 9 (pow x 2)) |
(* (pow x 2) (- 9 (* 12 (/ 1 x)))) |
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x)))) |
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x)))) |
(* 3 (pow x 2)) |
(* (pow x 2) (- 3 (* 4 (/ 1 x)))) |
(* (pow x 2) (- 3 (* 4 (/ 1 x)))) |
(* (pow x 2) (- 3 (* 4 (/ 1 x)))) |
(* 3 x) |
(* x (- 3 (* 4 (/ 1 x)))) |
(* x (- 3 (* 4 (/ 1 x)))) |
(* x (- 3 (* 4 (/ 1 x)))) |
(* 9 (pow x 2)) |
(* (pow x 2) (- 9 (* 12 (/ 1 x)))) |
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x)))) |
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x)))) |
(* 9 (pow x 2)) |
(* (pow x 2) (- 9 (* 12 (/ 1 x)))) |
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x)))) |
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x)))) |
(* 9 x) |
(* x (- 9 (* 12 (/ 1 x)))) |
(* x (- 9 (* 12 (/ 1 x)))) |
(* x (- 9 (* 12 (/ 1 x)))) |
(* 9 (pow x 2)) |
(* (pow x 2) (- 9 (* 12 (/ 1 x)))) |
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x)))) |
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x)))) |
(* 9 (pow x 2)) |
(* 9 (pow x 2)) |
(* 9 (pow x 2)) |
(* 9 (pow x 2)) |
(* 9 x) |
(* 9 x) |
(* 9 x) |
(* 9 x) |
(* 9 (pow x 2)) |
(* (pow x 2) (- 9 (* 12 (/ 1 x)))) |
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x)))) |
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x)))) |
(* 9 (pow x 2)) |
(* (pow x 2) (- 9 (* 12 (/ 1 x)))) |
(* (pow x 2) (- 9 (* 12 (/ 1 x)))) |
(* (pow x 2) (- 9 (* 12 (/ 1 x)))) |
(* 9 x) |
(* x (- 9 (* 12 (/ 1 x)))) |
(* x (- 9 (* 12 (/ 1 x)))) |
(* x (- 9 (* 12 (/ 1 x)))) |
(* 9 (pow x 2)) |
(* (pow x 2) (- 9 (* 12 (/ 1 x)))) |
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x)))) |
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x)))) |
(* 3 (pow x 2)) |
(* (pow x 2) (- 3 (* 4 (/ 1 x)))) |
(* (pow x 2) (- (+ 3 (/ 1 (pow x 2))) (* 4 (/ 1 x)))) |
(* (pow x 2) (- (+ 3 (/ 1 (pow x 2))) (* 4 (/ 1 x)))) |
(* 3 (pow x 2)) |
(* 3 (pow x 2)) |
(* 3 (pow x 2)) |
(* 3 (pow x 2)) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(* 9 (pow x 2)) |
(* (pow x 2) (- 9 (* 12 (/ 1 x)))) |
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x)))) |
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x)))) |
(* 3 (pow x 2)) |
(* (pow x 2) (- 3 (* 4 (/ 1 x)))) |
(* (pow x 2) (- 3 (* 4 (/ 1 x)))) |
(* (pow x 2) (- 3 (* 4 (/ 1 x)))) |
(* 3 x) |
(* -1 (* x (- (* 4 (/ 1 x)) 3))) |
(* -1 (* x (- (* 4 (/ 1 x)) 3))) |
(* -1 (* x (- (* 4 (/ 1 x)) 3))) |
(* 9 (pow x 2)) |
(* (pow x 2) (- 9 (* 12 (/ 1 x)))) |
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x)))) |
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x)))) |
(* 9 (pow x 2)) |
(* (pow x 2) (- 9 (* 12 (/ 1 x)))) |
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x)))) |
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x)))) |
(* 9 x) |
(* -1 (* x (- (* 12 (/ 1 x)) 9))) |
(* -1 (* x (- (* 12 (/ 1 x)) 9))) |
(* -1 (* x (- (* 12 (/ 1 x)) 9))) |
(* 9 (pow x 2)) |
(* (pow x 2) (- 9 (* 12 (/ 1 x)))) |
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x)))) |
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x)))) |
(* 9 (pow x 2)) |
(* 9 (pow x 2)) |
(* 9 (pow x 2)) |
(* 9 (pow x 2)) |
(* 9 x) |
(* 9 x) |
(* 9 x) |
(* 9 x) |
(* 9 (pow x 2)) |
(* (pow x 2) (- 9 (* 12 (/ 1 x)))) |
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x)))) |
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x)))) |
(* 9 (pow x 2)) |
(* (pow x 2) (- 9 (* 12 (/ 1 x)))) |
(* (pow x 2) (- 9 (* 12 (/ 1 x)))) |
(* (pow x 2) (- 9 (* 12 (/ 1 x)))) |
(* 9 x) |
(* -1 (* x (- (* 12 (/ 1 x)) 9))) |
(* -1 (* x (- (* 12 (/ 1 x)) 9))) |
(* -1 (* x (- (* 12 (/ 1 x)) 9))) |
(* 9 (pow x 2)) |
(* (pow x 2) (- 9 (* 12 (/ 1 x)))) |
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x)))) |
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x)))) |
(* 3 (pow x 2)) |
(* (pow x 2) (- 3 (* 4 (/ 1 x)))) |
(* (pow x 2) (+ 3 (* -1 (/ (- 4 (/ 1 x)) x)))) |
(* (pow x 2) (+ 3 (* -1 (/ (- 4 (/ 1 x)) x)))) |
(* 3 (pow x 2)) |
(* 3 (pow x 2)) |
(* 3 (pow x 2)) |
(* 3 (pow x 2)) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
| Outputs |
|---|
3 |
#s(literal 3 binary64) |
(+ 3 (* -12 x)) |
(fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64)) |
(+ 3 (* x (- (* 9 x) 12))) |
(fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal 3 binary64)) |
(+ 3 (* x (- (* 9 x) 12))) |
(fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal 3 binary64)) |
(* -4 x) |
(*.f64 #s(literal -4 binary64) x) |
(* x (- (* 3 x) 4)) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) x) |
(* x (- (* 3 x) 4)) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) x) |
(* x (- (* 3 x) 4)) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) x) |
-4 |
#s(literal -4 binary64) |
(- (* 3 x) 4) |
(fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) |
(- (* 3 x) 4) |
(fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) |
(- (* 3 x) 4) |
(fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) |
3 |
#s(literal 3 binary64) |
(+ 3 (* -12 x)) |
(fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64)) |
(+ 3 (* x (- (* 9 x) 12))) |
(fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal 3 binary64)) |
(+ 3 (* x (- (* 9 x) 12))) |
(fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal 3 binary64)) |
3 |
#s(literal 3 binary64) |
(+ 3 (* -12 x)) |
(fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64)) |
(+ 3 (* x (- (* 9 x) 12))) |
(fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal 3 binary64)) |
(+ 3 (* x (- (* 9 x) 12))) |
(fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal 3 binary64)) |
-12 |
#s(literal -12 binary64) |
(- (* 9 x) 12) |
(fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) |
(- (* 9 x) 12) |
(fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) |
(- (* 9 x) 12) |
(fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) |
3 |
#s(literal 3 binary64) |
(+ 3 (* -12 x)) |
(fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64)) |
(+ 3 (* x (- (* 9 x) 12))) |
(fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal 3 binary64)) |
(+ 3 (* x (- (* 9 x) 12))) |
(fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal 3 binary64)) |
(* 9 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 9 binary64)) |
(* 9 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 9 binary64)) |
(* 9 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 9 binary64)) |
(* 9 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 9 binary64)) |
(* 9 x) |
(*.f64 #s(literal 9 binary64) x) |
(* 9 x) |
(*.f64 #s(literal 9 binary64) x) |
(* 9 x) |
(*.f64 #s(literal 9 binary64) x) |
(* 9 x) |
(*.f64 #s(literal 9 binary64) x) |
3 |
#s(literal 3 binary64) |
(+ 3 (* -12 x)) |
(fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64)) |
(+ 3 (* x (- (* 9 x) 12))) |
(fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal 3 binary64)) |
(+ 3 (* x (- (* 9 x) 12))) |
(fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal 3 binary64)) |
(* -12 x) |
(*.f64 #s(literal -12 binary64) x) |
(* x (- (* 9 x) 12)) |
(*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x) |
(* x (- (* 9 x) 12)) |
(*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x) |
(* x (- (* 9 x) 12)) |
(*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x) |
-12 |
#s(literal -12 binary64) |
(- (* 9 x) 12) |
(fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) |
(- (* 9 x) 12) |
(fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) |
(- (* 9 x) 12) |
(fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) |
3 |
#s(literal 3 binary64) |
(+ 3 (* -12 x)) |
(fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64)) |
(+ 3 (* x (- (* 9 x) 12))) |
(fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal 3 binary64)) |
(+ 3 (* x (- (* 9 x) 12))) |
(fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal 3 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -4 x)) |
(fma.f64 #s(literal -4 binary64) x #s(literal 1 binary64)) |
(+ 1 (* x (- (* 3 x) 4))) |
(fma.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) x #s(literal 1 binary64)) |
(+ 1 (* x (- (* 3 x) 4))) |
(fma.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) x #s(literal 1 binary64)) |
(* 3 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 3 binary64)) |
(* 3 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 3 binary64)) |
(* 3 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 3 binary64)) |
(* 3 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 3 binary64)) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(* 9 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 9 binary64)) |
(* (pow x 2) (- 9 (* 12 (/ 1 x)))) |
(*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x) |
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x)))) |
(fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal 3 binary64)) |
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x)))) |
(fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal 3 binary64)) |
(* 3 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 3 binary64)) |
(* (pow x 2) (- 3 (* 4 (/ 1 x)))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) x) |
(* (pow x 2) (- 3 (* 4 (/ 1 x)))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) x) |
(* (pow x 2) (- 3 (* 4 (/ 1 x)))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) x) |
(* 3 x) |
(*.f64 x #s(literal 3 binary64)) |
(* x (- 3 (* 4 (/ 1 x)))) |
(fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) |
(* x (- 3 (* 4 (/ 1 x)))) |
(fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) |
(* x (- 3 (* 4 (/ 1 x)))) |
(fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) |
(* 9 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 9 binary64)) |
(* (pow x 2) (- 9 (* 12 (/ 1 x)))) |
(*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x) |
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x)))) |
(fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal 3 binary64)) |
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x)))) |
(fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal 3 binary64)) |
(* 9 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 9 binary64)) |
(* (pow x 2) (- 9 (* 12 (/ 1 x)))) |
(*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x) |
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x)))) |
(fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal 3 binary64)) |
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x)))) |
(fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal 3 binary64)) |
(* 9 x) |
(*.f64 #s(literal 9 binary64) x) |
(* x (- 9 (* 12 (/ 1 x)))) |
(fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) |
(* x (- 9 (* 12 (/ 1 x)))) |
(fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) |
(* x (- 9 (* 12 (/ 1 x)))) |
(fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) |
(* 9 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 9 binary64)) |
(* (pow x 2) (- 9 (* 12 (/ 1 x)))) |
(*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x) |
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x)))) |
(fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal 3 binary64)) |
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x)))) |
(fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal 3 binary64)) |
(* 9 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 9 binary64)) |
(* 9 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 9 binary64)) |
(* 9 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 9 binary64)) |
(* 9 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 9 binary64)) |
(* 9 x) |
(*.f64 #s(literal 9 binary64) x) |
(* 9 x) |
(*.f64 #s(literal 9 binary64) x) |
(* 9 x) |
(*.f64 #s(literal 9 binary64) x) |
(* 9 x) |
(*.f64 #s(literal 9 binary64) x) |
(* 9 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 9 binary64)) |
(* (pow x 2) (- 9 (* 12 (/ 1 x)))) |
(*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x) |
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x)))) |
(fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal 3 binary64)) |
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x)))) |
(fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal 3 binary64)) |
(* 9 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 9 binary64)) |
(* (pow x 2) (- 9 (* 12 (/ 1 x)))) |
(*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x) |
(* (pow x 2) (- 9 (* 12 (/ 1 x)))) |
(*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x) |
(* (pow x 2) (- 9 (* 12 (/ 1 x)))) |
(*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x) |
(* 9 x) |
(*.f64 #s(literal 9 binary64) x) |
(* x (- 9 (* 12 (/ 1 x)))) |
(fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) |
(* x (- 9 (* 12 (/ 1 x)))) |
(fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) |
(* x (- 9 (* 12 (/ 1 x)))) |
(fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) |
(* 9 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 9 binary64)) |
(* (pow x 2) (- 9 (* 12 (/ 1 x)))) |
(*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x) |
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x)))) |
(fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal 3 binary64)) |
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x)))) |
(fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal 3 binary64)) |
(* 3 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 3 binary64)) |
(* (pow x 2) (- 3 (* 4 (/ 1 x)))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) x) |
(* (pow x 2) (- (+ 3 (/ 1 (pow x 2))) (* 4 (/ 1 x)))) |
(fma.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) x #s(literal 1 binary64)) |
(* (pow x 2) (- (+ 3 (/ 1 (pow x 2))) (* 4 (/ 1 x)))) |
(fma.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) x #s(literal 1 binary64)) |
(* 3 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 3 binary64)) |
(* 3 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 3 binary64)) |
(* 3 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 3 binary64)) |
(* 3 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 3 binary64)) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(* 9 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 9 binary64)) |
(* (pow x 2) (- 9 (* 12 (/ 1 x)))) |
(*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x) |
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x)))) |
(fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal 3 binary64)) |
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x)))) |
(fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal 3 binary64)) |
(* 3 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 3 binary64)) |
(* (pow x 2) (- 3 (* 4 (/ 1 x)))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) x) |
(* (pow x 2) (- 3 (* 4 (/ 1 x)))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) x) |
(* (pow x 2) (- 3 (* 4 (/ 1 x)))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) x) |
(* 3 x) |
(*.f64 x #s(literal 3 binary64)) |
(* -1 (* x (- (* 4 (/ 1 x)) 3))) |
(fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) |
(* -1 (* x (- (* 4 (/ 1 x)) 3))) |
(fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) |
(* -1 (* x (- (* 4 (/ 1 x)) 3))) |
(fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) |
(* 9 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 9 binary64)) |
(* (pow x 2) (- 9 (* 12 (/ 1 x)))) |
(*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x) |
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x)))) |
(fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal 3 binary64)) |
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x)))) |
(fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal 3 binary64)) |
(* 9 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 9 binary64)) |
(* (pow x 2) (- 9 (* 12 (/ 1 x)))) |
(*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x) |
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x)))) |
(fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal 3 binary64)) |
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x)))) |
(fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal 3 binary64)) |
(* 9 x) |
(*.f64 #s(literal 9 binary64) x) |
(* -1 (* x (- (* 12 (/ 1 x)) 9))) |
(fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) |
(* -1 (* x (- (* 12 (/ 1 x)) 9))) |
(fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) |
(* -1 (* x (- (* 12 (/ 1 x)) 9))) |
(fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) |
(* 9 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 9 binary64)) |
(* (pow x 2) (- 9 (* 12 (/ 1 x)))) |
(*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x) |
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x)))) |
(fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal 3 binary64)) |
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x)))) |
(fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal 3 binary64)) |
(* 9 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 9 binary64)) |
(* 9 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 9 binary64)) |
(* 9 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 9 binary64)) |
(* 9 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 9 binary64)) |
(* 9 x) |
(*.f64 #s(literal 9 binary64) x) |
(* 9 x) |
(*.f64 #s(literal 9 binary64) x) |
(* 9 x) |
(*.f64 #s(literal 9 binary64) x) |
(* 9 x) |
(*.f64 #s(literal 9 binary64) x) |
(* 9 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 9 binary64)) |
(* (pow x 2) (- 9 (* 12 (/ 1 x)))) |
(*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x) |
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x)))) |
(fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal 3 binary64)) |
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x)))) |
(fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal 3 binary64)) |
(* 9 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 9 binary64)) |
(* (pow x 2) (- 9 (* 12 (/ 1 x)))) |
(*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x) |
(* (pow x 2) (- 9 (* 12 (/ 1 x)))) |
(*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x) |
(* (pow x 2) (- 9 (* 12 (/ 1 x)))) |
(*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x) |
(* 9 x) |
(*.f64 #s(literal 9 binary64) x) |
(* -1 (* x (- (* 12 (/ 1 x)) 9))) |
(fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) |
(* -1 (* x (- (* 12 (/ 1 x)) 9))) |
(fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) |
(* -1 (* x (- (* 12 (/ 1 x)) 9))) |
(fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) |
(* 9 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 9 binary64)) |
(* (pow x 2) (- 9 (* 12 (/ 1 x)))) |
(*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x) |
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x)))) |
(fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal 3 binary64)) |
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x)))) |
(fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal 3 binary64)) |
(* 3 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 3 binary64)) |
(* (pow x 2) (- 3 (* 4 (/ 1 x)))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) x) |
(* (pow x 2) (+ 3 (* -1 (/ (- 4 (/ 1 x)) x)))) |
(fma.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) x #s(literal 1 binary64)) |
(* (pow x 2) (+ 3 (* -1 (/ (- 4 (/ 1 x)) x)))) |
(fma.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) x #s(literal 1 binary64)) |
(* 3 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 3 binary64)) |
(* 3 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 3 binary64)) |
(* 3 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 3 binary64)) |
(* 3 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 3 binary64)) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 158 |
| 0 | 45 | 158 |
| 1 | 161 | 136 |
| 2 | 1070 | 136 |
| 0 | 8264 | 130 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) x) #s(literal 3 binary64) #s(literal 3 binary64)) |
(*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) x) |
(fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) |
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 #s(approx (+ (* 9 x) -12) #s(literal -12 binary64)) x #s(literal 3 binary64))) |
(fma.f64 #s(approx (+ (* 9 x) -12) #s(literal -12 binary64)) x #s(literal 3 binary64)) |
#s(approx (+ (* 9 x) -12) #s(literal -12 binary64)) |
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (*.f64 (*.f64 x #s(literal 9 binary64)) x)) |
(*.f64 (*.f64 x #s(literal 9 binary64)) x) |
(*.f64 x #s(literal 9 binary64)) |
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x)) |
(*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x) |
(fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) |
(*.f64 #s(literal 3 binary64) #s(approx (+ (- (* (* x 3) x) (* x 4)) 1) (*.f64 (*.f64 x x) #s(literal 3 binary64)))) |
#s(approx (+ (- (* (* x 3) x) (* x 4)) 1) (*.f64 (*.f64 x x) #s(literal 3 binary64))) |
(*.f64 (*.f64 x x) #s(literal 3 binary64)) |
(*.f64 x x) |
| Outputs |
|---|
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Compiled 10 973 to 1 473 computations (86.6% saved)
11 alts after pruning (2 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 681 | 2 | 683 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 5 | 5 |
| Total | 682 | 11 | 693 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 97.9% | (fma.f64 (*.f64 #s(approx (+ (* 3 x) -4) (*.f64 x #s(literal 3 binary64))) x) #s(literal 3 binary64) #s(literal 3 binary64)) |
| ✓ | 46.8% | (*.f64 #s(literal 3 binary64) #s(approx (+ (- (* (* x 3) x) (* x 4)) 1) (fma.f64 x #s(literal -4 binary64) #s(literal 1 binary64)))) |
| ✓ | 56.5% | (*.f64 #s(literal 3 binary64) #s(approx (+ (- (* (* x 3) x) (* x 4)) 1) (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) x))) |
| ✓ | 56.0% | (*.f64 #s(literal 3 binary64) #s(approx (+ (- (* (* x 3) x) (* x 4)) 1) (*.f64 (*.f64 x x) #s(literal 3 binary64)))) |
| ✓ | 99.9% | #s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal 3 binary64))) |
| ✓ | 46.8% | #s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 #s(approx (+ (* 9 x) -12) #s(literal -12 binary64)) x #s(literal 3 binary64))) |
| ✓ | 56.6% | #s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x)) |
| ✓ | 56.0% | #s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (*.f64 (*.f64 x x) #s(literal 9 binary64))) |
| ✓ | 56.1% | #s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (*.f64 (*.f64 x #s(literal 9 binary64)) x)) |
| ▶ | 4.2% | #s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (*.f64 #s(approx (+ (* 9 x) -12) #s(literal -12 binary64)) x)) |
| ✓ | 46.1% | #s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) #s(literal 3 binary64)) |
Compiled 73 to 63 computations (13.7% saved)
| 1× | egg-herbie |
Found 7 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 x #s(literal 3 binary64)) | |
| cost-diff | 0 | #s(approx (+ (* 3 x) -4) (*.f64 x #s(literal 3 binary64))) | |
| cost-diff | 0 | (*.f64 #s(approx (+ (* 3 x) -4) (*.f64 x #s(literal 3 binary64))) x) | |
| cost-diff | 0 | (fma.f64 (*.f64 #s(approx (+ (* 3 x) -4) (*.f64 x #s(literal 3 binary64))) x) #s(literal 3 binary64) #s(literal 3 binary64)) | |
| cost-diff | 0 | #s(approx (+ (* 9 x) -12) #s(literal -12 binary64)) | |
| cost-diff | 0 | (*.f64 #s(approx (+ (* 9 x) -12) #s(literal -12 binary64)) x) | |
| cost-diff | 0 | #s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (*.f64 #s(approx (+ (* 9 x) -12) #s(literal -12 binary64)) x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 80 |
| 0 | 29 | 80 |
| 1 | 61 | 78 |
| 2 | 102 | 78 |
| 3 | 186 | 76 |
| 4 | 300 | 76 |
| 5 | 403 | 76 |
| 6 | 616 | 76 |
| 7 | 969 | 76 |
| 8 | 1343 | 76 |
| 9 | 1557 | 76 |
| 10 | 1792 | 76 |
| 11 | 1832 | 76 |
| 12 | 1872 | 76 |
| 13 | 1900 | 76 |
| 14 | 1912 | 76 |
| 0 | 1912 | 68 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (*.f64 #s(approx (+ (* 9 x) -12) #s(literal -12 binary64)) x)) |
(*.f64 #s(approx (+ (* 9 x) -12) #s(literal -12 binary64)) x) |
#s(approx (+ (* 9 x) -12) #s(literal -12 binary64)) |
#s(literal -12 binary64) |
x |
(fma.f64 (*.f64 #s(approx (+ (* 3 x) -4) (*.f64 x #s(literal 3 binary64))) x) #s(literal 3 binary64) #s(literal 3 binary64)) |
(*.f64 #s(approx (+ (* 3 x) -4) (*.f64 x #s(literal 3 binary64))) x) |
#s(approx (+ (* 3 x) -4) (*.f64 x #s(literal 3 binary64))) |
(*.f64 x #s(literal 3 binary64)) |
x |
#s(literal 3 binary64) |
| Outputs |
|---|
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (*.f64 #s(approx (+ (* 9 x) -12) #s(literal -12 binary64)) x)) |
(*.f64 #s(approx (+ (* 9 x) -12) #s(literal -12 binary64)) x) |
#s(approx (+ (* 9 x) -12) #s(literal -12 binary64)) |
#s(literal -12 binary64) |
x |
(fma.f64 (*.f64 #s(approx (+ (* 3 x) -4) (*.f64 x #s(literal 3 binary64))) x) #s(literal 3 binary64) #s(literal 3 binary64)) |
(fma.f64 #s(approx (+ (* 3 x) -4) (*.f64 #s(literal 3 binary64) x)) (*.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)) |
(*.f64 #s(approx (+ (* 3 x) -4) (*.f64 x #s(literal 3 binary64))) x) |
(*.f64 #s(approx (+ (* 3 x) -4) (*.f64 #s(literal 3 binary64) x)) x) |
#s(approx (+ (* 3 x) -4) (*.f64 x #s(literal 3 binary64))) |
#s(approx (+ (* 3 x) -4) (*.f64 #s(literal 3 binary64) x)) |
(*.f64 x #s(literal 3 binary64)) |
(*.f64 #s(literal 3 binary64) x) |
x |
#s(literal 3 binary64) |
Found 7 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (*.f64 x #s(literal 3 binary64)) | |
| accuracy | 0.05859375 | (fma.f64 (*.f64 #s(approx (+ (* 3 x) -4) (*.f64 x #s(literal 3 binary64))) x) #s(literal 3 binary64) #s(literal 3 binary64)) | |
| accuracy | 0.0625 | (*.f64 #s(approx (+ (* 3 x) -4) (*.f64 x #s(literal 3 binary64))) x) | |
| accuracy | 28.23786514785634 | #s(approx (+ (* 3 x) -4) (*.f64 x #s(literal 3 binary64))) | |
| accuracy | 0.11328125 | (*.f64 #s(approx (+ (* 9 x) -12) #s(literal -12 binary64)) x) | |
| accuracy | 27.743391668877543 | #s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (*.f64 #s(approx (+ (* 9 x) -12) #s(literal -12 binary64)) x)) | |
| accuracy | 34.78930106761077 | #s(approx (+ (* 9 x) -12) #s(literal -12 binary64)) |
| 36.0ms | 212× | 0 | valid |
| 10.0ms | 23× | 1 | valid |
| 6.0ms | 21× | 2 | valid |
Compiled 94 to 33 computations (64.9% saved)
ival-mult: 21.0ms (67.7% of total)ival-add: 5.0ms (16.1% of total)adjust: 2.0ms (6.5% of total)ival-sub: 1.0ms (3.2% of total)exact: 1.0ms (3.2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt #s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (*.f64 #s(approx (+ (* 9 x) -12) #s(literal -12 binary64)) x)) (patch #s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (*.f64 #s(approx (+ (* 9 x) -12) #s(literal -12 binary64)) x)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (+ (* 9 x) -12) #s(literal -12 binary64)) x) (patch (*.f64 #s(approx (+ (* 9 x) -12) #s(literal -12 binary64)) x) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* 9 x) -12) #s(literal -12 binary64)) (patch #s(approx (+ (* 9 x) -12) #s(literal -12 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 #s(approx (+ (* 3 x) -4) (*.f64 x #s(literal 3 binary64))) x) #s(literal 3 binary64) #s(literal 3 binary64)) (patch (fma.f64 (*.f64 #s(approx (+ (* 3 x) -4) (*.f64 x #s(literal 3 binary64))) x) #s(literal 3 binary64) #s(literal 3 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (+ (* 3 x) -4) (*.f64 x #s(literal 3 binary64))) x) (patch (*.f64 #s(approx (+ (* 3 x) -4) (*.f64 x #s(literal 3 binary64))) x) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* 3 x) -4) (*.f64 x #s(literal 3 binary64))) (patch #s(approx (+ (* 3 x) -4) (*.f64 x #s(literal 3 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 x #s(literal 3 binary64)) (patch (*.f64 x #s(literal 3 binary64)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt 3 (taylor 0 x) (#s(alt #s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (*.f64 #s(approx (+ (* 9 x) -12) #s(literal -12 binary64)) x)) (patch #s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (*.f64 #s(approx (+ (* 9 x) -12) #s(literal -12 binary64)) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ 3 (* -12 x)) (taylor 0 x) (#s(alt #s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (*.f64 #s(approx (+ (* 9 x) -12) #s(literal -12 binary64)) x)) (patch #s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (*.f64 #s(approx (+ (* 9 x) -12) #s(literal -12 binary64)) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ 3 (* x (- (* 9 x) 12))) (taylor 0 x) (#s(alt #s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (*.f64 #s(approx (+ (* 9 x) -12) #s(literal -12 binary64)) x)) (patch #s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (*.f64 #s(approx (+ (* 9 x) -12) #s(literal -12 binary64)) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ 3 (* x (- (* 9 x) 12))) (taylor 0 x) (#s(alt #s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (*.f64 #s(approx (+ (* 9 x) -12) #s(literal -12 binary64)) x)) (patch #s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (*.f64 #s(approx (+ (* 9 x) -12) #s(literal -12 binary64)) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -12 x) (taylor 0 x) (#s(alt (*.f64 #s(approx (+ (* 9 x) -12) #s(literal -12 binary64)) x) (patch (*.f64 #s(approx (+ (* 9 x) -12) #s(literal -12 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (* 9 x) 12)) (taylor 0 x) (#s(alt (*.f64 #s(approx (+ (* 9 x) -12) #s(literal -12 binary64)) x) (patch (*.f64 #s(approx (+ (* 9 x) -12) #s(literal -12 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (* 9 x) 12)) (taylor 0 x) (#s(alt (*.f64 #s(approx (+ (* 9 x) -12) #s(literal -12 binary64)) x) (patch (*.f64 #s(approx (+ (* 9 x) -12) #s(literal -12 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (* 9 x) 12)) (taylor 0 x) (#s(alt (*.f64 #s(approx (+ (* 9 x) -12) #s(literal -12 binary64)) x) (patch (*.f64 #s(approx (+ (* 9 x) -12) #s(literal -12 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt -12 (taylor 0 x) (#s(alt #s(approx (+ (* 9 x) -12) #s(literal -12 binary64)) (patch #s(approx (+ (* 9 x) -12) #s(literal -12 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (* 9 x) 12) (taylor 0 x) (#s(alt #s(approx (+ (* 9 x) -12) #s(literal -12 binary64)) (patch #s(approx (+ (* 9 x) -12) #s(literal -12 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (* 9 x) 12) (taylor 0 x) (#s(alt #s(approx (+ (* 9 x) -12) #s(literal -12 binary64)) (patch #s(approx (+ (* 9 x) -12) #s(literal -12 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (* 9 x) 12) (taylor 0 x) (#s(alt #s(approx (+ (* 9 x) -12) #s(literal -12 binary64)) (patch #s(approx (+ (* 9 x) -12) #s(literal -12 binary64)) #<representation binary64>) () ())) ()) |
#s(alt 3 (taylor 0 x) (#s(alt (fma.f64 (*.f64 #s(approx (+ (* 3 x) -4) (*.f64 x #s(literal 3 binary64))) x) #s(literal 3 binary64) #s(literal 3 binary64)) (patch (fma.f64 (*.f64 #s(approx (+ (* 3 x) -4) (*.f64 x #s(literal 3 binary64))) x) #s(literal 3 binary64) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 3 (* -12 x)) (taylor 0 x) (#s(alt (fma.f64 (*.f64 #s(approx (+ (* 3 x) -4) (*.f64 x #s(literal 3 binary64))) x) #s(literal 3 binary64) #s(literal 3 binary64)) (patch (fma.f64 (*.f64 #s(approx (+ (* 3 x) -4) (*.f64 x #s(literal 3 binary64))) x) #s(literal 3 binary64) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 3 (* x (- (* 9 x) 12))) (taylor 0 x) (#s(alt (fma.f64 (*.f64 #s(approx (+ (* 3 x) -4) (*.f64 x #s(literal 3 binary64))) x) #s(literal 3 binary64) #s(literal 3 binary64)) (patch (fma.f64 (*.f64 #s(approx (+ (* 3 x) -4) (*.f64 x #s(literal 3 binary64))) x) #s(literal 3 binary64) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 3 (* x (- (* 9 x) 12))) (taylor 0 x) (#s(alt (fma.f64 (*.f64 #s(approx (+ (* 3 x) -4) (*.f64 x #s(literal 3 binary64))) x) #s(literal 3 binary64) #s(literal 3 binary64)) (patch (fma.f64 (*.f64 #s(approx (+ (* 3 x) -4) (*.f64 x #s(literal 3 binary64))) x) #s(literal 3 binary64) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -4 x) (taylor 0 x) (#s(alt (*.f64 #s(approx (+ (* 3 x) -4) (*.f64 x #s(literal 3 binary64))) x) (patch (*.f64 #s(approx (+ (* 3 x) -4) (*.f64 x #s(literal 3 binary64))) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (* 3 x) 4)) (taylor 0 x) (#s(alt (*.f64 #s(approx (+ (* 3 x) -4) (*.f64 x #s(literal 3 binary64))) x) (patch (*.f64 #s(approx (+ (* 3 x) -4) (*.f64 x #s(literal 3 binary64))) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (* 3 x) 4)) (taylor 0 x) (#s(alt (*.f64 #s(approx (+ (* 3 x) -4) (*.f64 x #s(literal 3 binary64))) x) (patch (*.f64 #s(approx (+ (* 3 x) -4) (*.f64 x #s(literal 3 binary64))) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (* 3 x) 4)) (taylor 0 x) (#s(alt (*.f64 #s(approx (+ (* 3 x) -4) (*.f64 x #s(literal 3 binary64))) x) (patch (*.f64 #s(approx (+ (* 3 x) -4) (*.f64 x #s(literal 3 binary64))) x) #<representation binary64>) () ())) ()) |
#s(alt -4 (taylor 0 x) (#s(alt #s(approx (+ (* 3 x) -4) (*.f64 x #s(literal 3 binary64))) (patch #s(approx (+ (* 3 x) -4) (*.f64 x #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (- (* 3 x) 4) (taylor 0 x) (#s(alt #s(approx (+ (* 3 x) -4) (*.f64 x #s(literal 3 binary64))) (patch #s(approx (+ (* 3 x) -4) (*.f64 x #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (- (* 3 x) 4) (taylor 0 x) (#s(alt #s(approx (+ (* 3 x) -4) (*.f64 x #s(literal 3 binary64))) (patch #s(approx (+ (* 3 x) -4) (*.f64 x #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (- (* 3 x) 4) (taylor 0 x) (#s(alt #s(approx (+ (* 3 x) -4) (*.f64 x #s(literal 3 binary64))) (patch #s(approx (+ (* 3 x) -4) (*.f64 x #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 3 x) (taylor 0 x) (#s(alt (*.f64 x #s(literal 3 binary64)) (patch (*.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 3 x) (taylor 0 x) (#s(alt (*.f64 x #s(literal 3 binary64)) (patch (*.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 3 x) (taylor 0 x) (#s(alt (*.f64 x #s(literal 3 binary64)) (patch (*.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 3 x) (taylor 0 x) (#s(alt (*.f64 x #s(literal 3 binary64)) (patch (*.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 9 (pow x 2)) (taylor inf x) (#s(alt #s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (*.f64 #s(approx (+ (* 9 x) -12) #s(literal -12 binary64)) x)) (patch #s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (*.f64 #s(approx (+ (* 9 x) -12) #s(literal -12 binary64)) x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- 9 (* 12 (/ 1 x)))) (taylor inf x) (#s(alt #s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (*.f64 #s(approx (+ (* 9 x) -12) #s(literal -12 binary64)) x)) (patch #s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (*.f64 #s(approx (+ (* 9 x) -12) #s(literal -12 binary64)) x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x)))) (taylor inf x) (#s(alt #s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (*.f64 #s(approx (+ (* 9 x) -12) #s(literal -12 binary64)) x)) (patch #s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (*.f64 #s(approx (+ (* 9 x) -12) #s(literal -12 binary64)) x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x)))) (taylor inf x) (#s(alt #s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (*.f64 #s(approx (+ (* 9 x) -12) #s(literal -12 binary64)) x)) (patch #s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (*.f64 #s(approx (+ (* 9 x) -12) #s(literal -12 binary64)) x)) #<representation binary64>) () ())) ()) |
#s(alt (* 9 (pow x 2)) (taylor inf x) (#s(alt (*.f64 #s(approx (+ (* 9 x) -12) #s(literal -12 binary64)) x) (patch (*.f64 #s(approx (+ (* 9 x) -12) #s(literal -12 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- 9 (* 12 (/ 1 x)))) (taylor inf x) (#s(alt (*.f64 #s(approx (+ (* 9 x) -12) #s(literal -12 binary64)) x) (patch (*.f64 #s(approx (+ (* 9 x) -12) #s(literal -12 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- 9 (* 12 (/ 1 x)))) (taylor inf x) (#s(alt (*.f64 #s(approx (+ (* 9 x) -12) #s(literal -12 binary64)) x) (patch (*.f64 #s(approx (+ (* 9 x) -12) #s(literal -12 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- 9 (* 12 (/ 1 x)))) (taylor inf x) (#s(alt (*.f64 #s(approx (+ (* 9 x) -12) #s(literal -12 binary64)) x) (patch (*.f64 #s(approx (+ (* 9 x) -12) #s(literal -12 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (* 9 x) (taylor inf x) (#s(alt #s(approx (+ (* 9 x) -12) #s(literal -12 binary64)) (patch #s(approx (+ (* 9 x) -12) #s(literal -12 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- 9 (* 12 (/ 1 x)))) (taylor inf x) (#s(alt #s(approx (+ (* 9 x) -12) #s(literal -12 binary64)) (patch #s(approx (+ (* 9 x) -12) #s(literal -12 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- 9 (* 12 (/ 1 x)))) (taylor inf x) (#s(alt #s(approx (+ (* 9 x) -12) #s(literal -12 binary64)) (patch #s(approx (+ (* 9 x) -12) #s(literal -12 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- 9 (* 12 (/ 1 x)))) (taylor inf x) (#s(alt #s(approx (+ (* 9 x) -12) #s(literal -12 binary64)) (patch #s(approx (+ (* 9 x) -12) #s(literal -12 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 9 (pow x 2)) (taylor inf x) (#s(alt (fma.f64 (*.f64 #s(approx (+ (* 3 x) -4) (*.f64 x #s(literal 3 binary64))) x) #s(literal 3 binary64) #s(literal 3 binary64)) (patch (fma.f64 (*.f64 #s(approx (+ (* 3 x) -4) (*.f64 x #s(literal 3 binary64))) x) #s(literal 3 binary64) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- 9 (* 12 (/ 1 x)))) (taylor inf x) (#s(alt (fma.f64 (*.f64 #s(approx (+ (* 3 x) -4) (*.f64 x #s(literal 3 binary64))) x) #s(literal 3 binary64) #s(literal 3 binary64)) (patch (fma.f64 (*.f64 #s(approx (+ (* 3 x) -4) (*.f64 x #s(literal 3 binary64))) x) #s(literal 3 binary64) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x)))) (taylor inf x) (#s(alt (fma.f64 (*.f64 #s(approx (+ (* 3 x) -4) (*.f64 x #s(literal 3 binary64))) x) #s(literal 3 binary64) #s(literal 3 binary64)) (patch (fma.f64 (*.f64 #s(approx (+ (* 3 x) -4) (*.f64 x #s(literal 3 binary64))) x) #s(literal 3 binary64) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x)))) (taylor inf x) (#s(alt (fma.f64 (*.f64 #s(approx (+ (* 3 x) -4) (*.f64 x #s(literal 3 binary64))) x) #s(literal 3 binary64) #s(literal 3 binary64)) (patch (fma.f64 (*.f64 #s(approx (+ (* 3 x) -4) (*.f64 x #s(literal 3 binary64))) x) #s(literal 3 binary64) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (pow x 2)) (taylor inf x) (#s(alt (*.f64 #s(approx (+ (* 3 x) -4) (*.f64 x #s(literal 3 binary64))) x) (patch (*.f64 #s(approx (+ (* 3 x) -4) (*.f64 x #s(literal 3 binary64))) x) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- 3 (* 4 (/ 1 x)))) (taylor inf x) (#s(alt (*.f64 #s(approx (+ (* 3 x) -4) (*.f64 x #s(literal 3 binary64))) x) (patch (*.f64 #s(approx (+ (* 3 x) -4) (*.f64 x #s(literal 3 binary64))) x) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- 3 (* 4 (/ 1 x)))) (taylor inf x) (#s(alt (*.f64 #s(approx (+ (* 3 x) -4) (*.f64 x #s(literal 3 binary64))) x) (patch (*.f64 #s(approx (+ (* 3 x) -4) (*.f64 x #s(literal 3 binary64))) x) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- 3 (* 4 (/ 1 x)))) (taylor inf x) (#s(alt (*.f64 #s(approx (+ (* 3 x) -4) (*.f64 x #s(literal 3 binary64))) x) (patch (*.f64 #s(approx (+ (* 3 x) -4) (*.f64 x #s(literal 3 binary64))) x) #<representation binary64>) () ())) ()) |
#s(alt (* 3 x) (taylor inf x) (#s(alt #s(approx (+ (* 3 x) -4) (*.f64 x #s(literal 3 binary64))) (patch #s(approx (+ (* 3 x) -4) (*.f64 x #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- 3 (* 4 (/ 1 x)))) (taylor inf x) (#s(alt #s(approx (+ (* 3 x) -4) (*.f64 x #s(literal 3 binary64))) (patch #s(approx (+ (* 3 x) -4) (*.f64 x #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- 3 (* 4 (/ 1 x)))) (taylor inf x) (#s(alt #s(approx (+ (* 3 x) -4) (*.f64 x #s(literal 3 binary64))) (patch #s(approx (+ (* 3 x) -4) (*.f64 x #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- 3 (* 4 (/ 1 x)))) (taylor inf x) (#s(alt #s(approx (+ (* 3 x) -4) (*.f64 x #s(literal 3 binary64))) (patch #s(approx (+ (* 3 x) -4) (*.f64 x #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 3 x) (taylor inf x) (#s(alt (*.f64 x #s(literal 3 binary64)) (patch (*.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 3 x) (taylor inf x) (#s(alt (*.f64 x #s(literal 3 binary64)) (patch (*.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 3 x) (taylor inf x) (#s(alt (*.f64 x #s(literal 3 binary64)) (patch (*.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 3 x) (taylor inf x) (#s(alt (*.f64 x #s(literal 3 binary64)) (patch (*.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 9 (pow x 2)) (taylor -inf x) (#s(alt #s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (*.f64 #s(approx (+ (* 9 x) -12) #s(literal -12 binary64)) x)) (patch #s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (*.f64 #s(approx (+ (* 9 x) -12) #s(literal -12 binary64)) x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- 9 (* 12 (/ 1 x)))) (taylor -inf x) (#s(alt #s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (*.f64 #s(approx (+ (* 9 x) -12) #s(literal -12 binary64)) x)) (patch #s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (*.f64 #s(approx (+ (* 9 x) -12) #s(literal -12 binary64)) x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x)))) (taylor -inf x) (#s(alt #s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (*.f64 #s(approx (+ (* 9 x) -12) #s(literal -12 binary64)) x)) (patch #s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (*.f64 #s(approx (+ (* 9 x) -12) #s(literal -12 binary64)) x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x)))) (taylor -inf x) (#s(alt #s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (*.f64 #s(approx (+ (* 9 x) -12) #s(literal -12 binary64)) x)) (patch #s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (*.f64 #s(approx (+ (* 9 x) -12) #s(literal -12 binary64)) x)) #<representation binary64>) () ())) ()) |
#s(alt (* 9 (pow x 2)) (taylor -inf x) (#s(alt (*.f64 #s(approx (+ (* 9 x) -12) #s(literal -12 binary64)) x) (patch (*.f64 #s(approx (+ (* 9 x) -12) #s(literal -12 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- 9 (* 12 (/ 1 x)))) (taylor -inf x) (#s(alt (*.f64 #s(approx (+ (* 9 x) -12) #s(literal -12 binary64)) x) (patch (*.f64 #s(approx (+ (* 9 x) -12) #s(literal -12 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- 9 (* 12 (/ 1 x)))) (taylor -inf x) (#s(alt (*.f64 #s(approx (+ (* 9 x) -12) #s(literal -12 binary64)) x) (patch (*.f64 #s(approx (+ (* 9 x) -12) #s(literal -12 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- 9 (* 12 (/ 1 x)))) (taylor -inf x) (#s(alt (*.f64 #s(approx (+ (* 9 x) -12) #s(literal -12 binary64)) x) (patch (*.f64 #s(approx (+ (* 9 x) -12) #s(literal -12 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (* 9 x) (taylor -inf x) (#s(alt #s(approx (+ (* 9 x) -12) #s(literal -12 binary64)) (patch #s(approx (+ (* 9 x) -12) #s(literal -12 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* 12 (/ 1 x)) 9))) (taylor -inf x) (#s(alt #s(approx (+ (* 9 x) -12) #s(literal -12 binary64)) (patch #s(approx (+ (* 9 x) -12) #s(literal -12 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* 12 (/ 1 x)) 9))) (taylor -inf x) (#s(alt #s(approx (+ (* 9 x) -12) #s(literal -12 binary64)) (patch #s(approx (+ (* 9 x) -12) #s(literal -12 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* 12 (/ 1 x)) 9))) (taylor -inf x) (#s(alt #s(approx (+ (* 9 x) -12) #s(literal -12 binary64)) (patch #s(approx (+ (* 9 x) -12) #s(literal -12 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 9 (pow x 2)) (taylor -inf x) (#s(alt (fma.f64 (*.f64 #s(approx (+ (* 3 x) -4) (*.f64 x #s(literal 3 binary64))) x) #s(literal 3 binary64) #s(literal 3 binary64)) (patch (fma.f64 (*.f64 #s(approx (+ (* 3 x) -4) (*.f64 x #s(literal 3 binary64))) x) #s(literal 3 binary64) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- 9 (* 12 (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 #s(approx (+ (* 3 x) -4) (*.f64 x #s(literal 3 binary64))) x) #s(literal 3 binary64) #s(literal 3 binary64)) (patch (fma.f64 (*.f64 #s(approx (+ (* 3 x) -4) (*.f64 x #s(literal 3 binary64))) x) #s(literal 3 binary64) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x)))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 #s(approx (+ (* 3 x) -4) (*.f64 x #s(literal 3 binary64))) x) #s(literal 3 binary64) #s(literal 3 binary64)) (patch (fma.f64 (*.f64 #s(approx (+ (* 3 x) -4) (*.f64 x #s(literal 3 binary64))) x) #s(literal 3 binary64) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x)))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 #s(approx (+ (* 3 x) -4) (*.f64 x #s(literal 3 binary64))) x) #s(literal 3 binary64) #s(literal 3 binary64)) (patch (fma.f64 (*.f64 #s(approx (+ (* 3 x) -4) (*.f64 x #s(literal 3 binary64))) x) #s(literal 3 binary64) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (pow x 2)) (taylor -inf x) (#s(alt (*.f64 #s(approx (+ (* 3 x) -4) (*.f64 x #s(literal 3 binary64))) x) (patch (*.f64 #s(approx (+ (* 3 x) -4) (*.f64 x #s(literal 3 binary64))) x) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- 3 (* 4 (/ 1 x)))) (taylor -inf x) (#s(alt (*.f64 #s(approx (+ (* 3 x) -4) (*.f64 x #s(literal 3 binary64))) x) (patch (*.f64 #s(approx (+ (* 3 x) -4) (*.f64 x #s(literal 3 binary64))) x) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- 3 (* 4 (/ 1 x)))) (taylor -inf x) (#s(alt (*.f64 #s(approx (+ (* 3 x) -4) (*.f64 x #s(literal 3 binary64))) x) (patch (*.f64 #s(approx (+ (* 3 x) -4) (*.f64 x #s(literal 3 binary64))) x) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- 3 (* 4 (/ 1 x)))) (taylor -inf x) (#s(alt (*.f64 #s(approx (+ (* 3 x) -4) (*.f64 x #s(literal 3 binary64))) x) (patch (*.f64 #s(approx (+ (* 3 x) -4) (*.f64 x #s(literal 3 binary64))) x) #<representation binary64>) () ())) ()) |
#s(alt (* 3 x) (taylor -inf x) (#s(alt #s(approx (+ (* 3 x) -4) (*.f64 x #s(literal 3 binary64))) (patch #s(approx (+ (* 3 x) -4) (*.f64 x #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* 4 (/ 1 x)) 3))) (taylor -inf x) (#s(alt #s(approx (+ (* 3 x) -4) (*.f64 x #s(literal 3 binary64))) (patch #s(approx (+ (* 3 x) -4) (*.f64 x #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* 4 (/ 1 x)) 3))) (taylor -inf x) (#s(alt #s(approx (+ (* 3 x) -4) (*.f64 x #s(literal 3 binary64))) (patch #s(approx (+ (* 3 x) -4) (*.f64 x #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* 4 (/ 1 x)) 3))) (taylor -inf x) (#s(alt #s(approx (+ (* 3 x) -4) (*.f64 x #s(literal 3 binary64))) (patch #s(approx (+ (* 3 x) -4) (*.f64 x #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 3 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 3 binary64)) (patch (*.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 3 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 3 binary64)) (patch (*.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 3 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 3 binary64)) (patch (*.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 3 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 3 binary64)) (patch (*.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | ((* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (* (+ (* 9 x) -12) x) (+ (* 9 x) -12) (+ (* (* (+ (* 3 x) -4) x) 3) 3) (* (+ (* 3 x) -4) x) (+ (* 3 x) -4) (* x 3)) |
| 1.0ms | x | @ | inf | ((* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (* (+ (* 9 x) -12) x) (+ (* 9 x) -12) (+ (* (* (+ (* 3 x) -4) x) 3) 3) (* (+ (* 3 x) -4) x) (+ (* 3 x) -4) (* x 3)) |
| 1.0ms | x | @ | 0 | ((* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (* (+ (* 9 x) -12) x) (+ (* 9 x) -12) (+ (* (* (+ (* 3 x) -4) x) 3) 3) (* (+ (* 3 x) -4) x) (+ (* 3 x) -4) (* x 3)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 48 | 460 |
| 1 | 125 | 460 |
| 2 | 301 | 460 |
| 3 | 729 | 460 |
| 4 | 1822 | 460 |
| 5 | 4188 | 460 |
| 6 | 6347 | 460 |
| 7 | 7779 | 460 |
| 0 | 8135 | 394 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
3 |
(+ 3 (* -12 x)) |
(+ 3 (* x (- (* 9 x) 12))) |
(+ 3 (* x (- (* 9 x) 12))) |
(* -12 x) |
(* x (- (* 9 x) 12)) |
(* x (- (* 9 x) 12)) |
(* x (- (* 9 x) 12)) |
-12 |
(- (* 9 x) 12) |
(- (* 9 x) 12) |
(- (* 9 x) 12) |
3 |
(+ 3 (* -12 x)) |
(+ 3 (* x (- (* 9 x) 12))) |
(+ 3 (* x (- (* 9 x) 12))) |
(* -4 x) |
(* x (- (* 3 x) 4)) |
(* x (- (* 3 x) 4)) |
(* x (- (* 3 x) 4)) |
-4 |
(- (* 3 x) 4) |
(- (* 3 x) 4) |
(- (* 3 x) 4) |
(* 3 x) |
(* 3 x) |
(* 3 x) |
(* 3 x) |
(* 9 (pow x 2)) |
(* (pow x 2) (- 9 (* 12 (/ 1 x)))) |
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x)))) |
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x)))) |
(* 9 (pow x 2)) |
(* (pow x 2) (- 9 (* 12 (/ 1 x)))) |
(* (pow x 2) (- 9 (* 12 (/ 1 x)))) |
(* (pow x 2) (- 9 (* 12 (/ 1 x)))) |
(* 9 x) |
(* x (- 9 (* 12 (/ 1 x)))) |
(* x (- 9 (* 12 (/ 1 x)))) |
(* x (- 9 (* 12 (/ 1 x)))) |
(* 9 (pow x 2)) |
(* (pow x 2) (- 9 (* 12 (/ 1 x)))) |
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x)))) |
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x)))) |
(* 3 (pow x 2)) |
(* (pow x 2) (- 3 (* 4 (/ 1 x)))) |
(* (pow x 2) (- 3 (* 4 (/ 1 x)))) |
(* (pow x 2) (- 3 (* 4 (/ 1 x)))) |
(* 3 x) |
(* x (- 3 (* 4 (/ 1 x)))) |
(* x (- 3 (* 4 (/ 1 x)))) |
(* x (- 3 (* 4 (/ 1 x)))) |
(* 3 x) |
(* 3 x) |
(* 3 x) |
(* 3 x) |
(* 9 (pow x 2)) |
(* (pow x 2) (- 9 (* 12 (/ 1 x)))) |
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x)))) |
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x)))) |
(* 9 (pow x 2)) |
(* (pow x 2) (- 9 (* 12 (/ 1 x)))) |
(* (pow x 2) (- 9 (* 12 (/ 1 x)))) |
(* (pow x 2) (- 9 (* 12 (/ 1 x)))) |
(* 9 x) |
(* -1 (* x (- (* 12 (/ 1 x)) 9))) |
(* -1 (* x (- (* 12 (/ 1 x)) 9))) |
(* -1 (* x (- (* 12 (/ 1 x)) 9))) |
(* 9 (pow x 2)) |
(* (pow x 2) (- 9 (* 12 (/ 1 x)))) |
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x)))) |
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x)))) |
(* 3 (pow x 2)) |
(* (pow x 2) (- 3 (* 4 (/ 1 x)))) |
(* (pow x 2) (- 3 (* 4 (/ 1 x)))) |
(* (pow x 2) (- 3 (* 4 (/ 1 x)))) |
(* 3 x) |
(* -1 (* x (- (* 4 (/ 1 x)) 3))) |
(* -1 (* x (- (* 4 (/ 1 x)) 3))) |
(* -1 (* x (- (* 4 (/ 1 x)) 3))) |
(* 3 x) |
(* 3 x) |
(* 3 x) |
(* 3 x) |
| Outputs |
|---|
3 |
#s(literal 3 binary64) |
(+ 3 (* -12 x)) |
(fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64)) |
(+ 3 (* x (- (* 9 x) 12))) |
(fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal 3 binary64)) |
(+ 3 (* x (- (* 9 x) 12))) |
(fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal 3 binary64)) |
(* -12 x) |
(*.f64 #s(literal -12 binary64) x) |
(* x (- (* 9 x) 12)) |
(*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x) |
(* x (- (* 9 x) 12)) |
(*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x) |
(* x (- (* 9 x) 12)) |
(*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x) |
-12 |
#s(literal -12 binary64) |
(- (* 9 x) 12) |
(fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) |
(- (* 9 x) 12) |
(fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) |
(- (* 9 x) 12) |
(fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) |
3 |
#s(literal 3 binary64) |
(+ 3 (* -12 x)) |
(fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64)) |
(+ 3 (* x (- (* 9 x) 12))) |
(fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal 3 binary64)) |
(+ 3 (* x (- (* 9 x) 12))) |
(fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal 3 binary64)) |
(* -4 x) |
(*.f64 #s(literal -4 binary64) x) |
(* x (- (* 3 x) 4)) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) x) |
(* x (- (* 3 x) 4)) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) x) |
(* x (- (* 3 x) 4)) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) x) |
-4 |
#s(literal -4 binary64) |
(- (* 3 x) 4) |
(fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) |
(- (* 3 x) 4) |
(fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) |
(- (* 3 x) 4) |
(fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) |
(* 3 x) |
(*.f64 x #s(literal 3 binary64)) |
(* 3 x) |
(*.f64 x #s(literal 3 binary64)) |
(* 3 x) |
(*.f64 x #s(literal 3 binary64)) |
(* 3 x) |
(*.f64 x #s(literal 3 binary64)) |
(* 9 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 9 binary64)) |
(* (pow x 2) (- 9 (* 12 (/ 1 x)))) |
(*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x) |
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x)))) |
(fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal 3 binary64)) |
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x)))) |
(fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal 3 binary64)) |
(* 9 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 9 binary64)) |
(* (pow x 2) (- 9 (* 12 (/ 1 x)))) |
(*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x) |
(* (pow x 2) (- 9 (* 12 (/ 1 x)))) |
(*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x) |
(* (pow x 2) (- 9 (* 12 (/ 1 x)))) |
(*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x) |
(* 9 x) |
(*.f64 #s(literal 9 binary64) x) |
(* x (- 9 (* 12 (/ 1 x)))) |
(fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) |
(* x (- 9 (* 12 (/ 1 x)))) |
(fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) |
(* x (- 9 (* 12 (/ 1 x)))) |
(fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) |
(* 9 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 9 binary64)) |
(* (pow x 2) (- 9 (* 12 (/ 1 x)))) |
(*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x) |
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x)))) |
(fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal 3 binary64)) |
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x)))) |
(fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal 3 binary64)) |
(* 3 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 3 binary64)) |
(* (pow x 2) (- 3 (* 4 (/ 1 x)))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) x) |
(* (pow x 2) (- 3 (* 4 (/ 1 x)))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) x) |
(* (pow x 2) (- 3 (* 4 (/ 1 x)))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) x) |
(* 3 x) |
(*.f64 x #s(literal 3 binary64)) |
(* x (- 3 (* 4 (/ 1 x)))) |
(fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) |
(* x (- 3 (* 4 (/ 1 x)))) |
(fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) |
(* x (- 3 (* 4 (/ 1 x)))) |
(fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) |
(* 3 x) |
(*.f64 x #s(literal 3 binary64)) |
(* 3 x) |
(*.f64 x #s(literal 3 binary64)) |
(* 3 x) |
(*.f64 x #s(literal 3 binary64)) |
(* 3 x) |
(*.f64 x #s(literal 3 binary64)) |
(* 9 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 9 binary64)) |
(* (pow x 2) (- 9 (* 12 (/ 1 x)))) |
(*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x) |
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x)))) |
(fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal 3 binary64)) |
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x)))) |
(fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal 3 binary64)) |
(* 9 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 9 binary64)) |
(* (pow x 2) (- 9 (* 12 (/ 1 x)))) |
(*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x) |
(* (pow x 2) (- 9 (* 12 (/ 1 x)))) |
(*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x) |
(* (pow x 2) (- 9 (* 12 (/ 1 x)))) |
(*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x) |
(* 9 x) |
(*.f64 #s(literal 9 binary64) x) |
(* -1 (* x (- (* 12 (/ 1 x)) 9))) |
(fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) |
(* -1 (* x (- (* 12 (/ 1 x)) 9))) |
(fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) |
(* -1 (* x (- (* 12 (/ 1 x)) 9))) |
(fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) |
(* 9 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 9 binary64)) |
(* (pow x 2) (- 9 (* 12 (/ 1 x)))) |
(*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x) |
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x)))) |
(fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal 3 binary64)) |
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x)))) |
(fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal 3 binary64)) |
(* 3 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 3 binary64)) |
(* (pow x 2) (- 3 (* 4 (/ 1 x)))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) x) |
(* (pow x 2) (- 3 (* 4 (/ 1 x)))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) x) |
(* (pow x 2) (- 3 (* 4 (/ 1 x)))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) x) |
(* 3 x) |
(*.f64 x #s(literal 3 binary64)) |
(* -1 (* x (- (* 4 (/ 1 x)) 3))) |
(fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) |
(* -1 (* x (- (* 4 (/ 1 x)) 3))) |
(fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) |
(* -1 (* x (- (* 4 (/ 1 x)) 3))) |
(fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) |
(* 3 x) |
(*.f64 x #s(literal 3 binary64)) |
(* 3 x) |
(*.f64 x #s(literal 3 binary64)) |
(* 3 x) |
(*.f64 x #s(literal 3 binary64)) |
(* 3 x) |
(*.f64 x #s(literal 3 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 76 |
| 0 | 29 | 76 |
| 1 | 126 | 74 |
| 2 | 867 | 74 |
| 0 | 8387 | 66 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (*.f64 #s(approx (+ (* 9 x) -12) #s(literal -12 binary64)) x)) |
(*.f64 #s(approx (+ (* 9 x) -12) #s(literal -12 binary64)) x) |
#s(approx (+ (* 9 x) -12) #s(literal -12 binary64)) |
(fma.f64 (*.f64 #s(approx (+ (* 3 x) -4) (*.f64 x #s(literal 3 binary64))) x) #s(literal 3 binary64) #s(literal 3 binary64)) |
(*.f64 #s(approx (+ (* 3 x) -4) (*.f64 x #s(literal 3 binary64))) x) |
#s(approx (+ (* 3 x) -4) (*.f64 x #s(literal 3 binary64))) |
(*.f64 x #s(literal 3 binary64)) |
| Outputs |
|---|
#<batchref> |
#<batchref> |
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Compiled 2 170 to 217 computations (90% saved)
11 alts after pruning (0 fresh and 11 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 143 | 0 | 143 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 2 | 2 |
| Done | 0 | 9 | 9 |
| Total | 143 | 11 | 154 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 97.9% | (fma.f64 (*.f64 #s(approx (+ (* 3 x) -4) (*.f64 x #s(literal 3 binary64))) x) #s(literal 3 binary64) #s(literal 3 binary64)) |
| ✓ | 46.8% | (*.f64 #s(literal 3 binary64) #s(approx (+ (- (* (* x 3) x) (* x 4)) 1) (fma.f64 x #s(literal -4 binary64) #s(literal 1 binary64)))) |
| ✓ | 56.5% | (*.f64 #s(literal 3 binary64) #s(approx (+ (- (* (* x 3) x) (* x 4)) 1) (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) x))) |
| ✓ | 56.0% | (*.f64 #s(literal 3 binary64) #s(approx (+ (- (* (* x 3) x) (* x 4)) 1) (*.f64 (*.f64 x x) #s(literal 3 binary64)))) |
| ✓ | 99.9% | #s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal 3 binary64))) |
| ✓ | 46.8% | #s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 #s(approx (+ (* 9 x) -12) #s(literal -12 binary64)) x #s(literal 3 binary64))) |
| ✓ | 56.6% | #s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x)) |
| ✓ | 56.0% | #s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (*.f64 (*.f64 x x) #s(literal 9 binary64))) |
| ✓ | 56.1% | #s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (*.f64 (*.f64 x #s(literal 9 binary64)) x)) |
| ✓ | 4.2% | #s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (*.f64 #s(approx (+ (* 9 x) -12) #s(literal -12 binary64)) x)) |
| ✓ | 46.1% | #s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) #s(literal 3 binary64)) |
Compiled 173 to 109 computations (37% saved)
| Inputs |
|---|
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) #s(literal 3 binary64)) |
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (*.f64 #s(approx (+ (* 9 x) -12) #s(literal -12 binary64)) x)) |
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64))) |
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 #s(approx (+ (* 9 x) -12) #s(literal -12 binary64)) x #s(literal 3 binary64))) |
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (*.f64 (*.f64 x #s(literal 9 binary64)) x)) |
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (*.f64 (*.f64 x x) #s(literal 9 binary64))) |
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x)) |
(*.f64 #s(literal 3 binary64) #s(approx (+ (- (* (* x 3) x) (* x 4)) 1) (fma.f64 x #s(literal -4 binary64) #s(literal 1 binary64)))) |
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal 3 binary64))) |
(*.f64 #s(literal 3 binary64) #s(approx (+ (- (* (* x 3) x) (* x 4)) 1) (*.f64 (*.f64 x x) #s(literal 3 binary64)))) |
(*.f64 #s(literal 3 binary64) #s(approx (+ (- (* (* x 3) x) (* x 4)) 1) (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) x))) |
(fma.f64 (*.f64 #s(approx (+ (* 3 x) -4) (*.f64 x #s(literal 3 binary64))) x) #s(literal 3 binary64) #s(literal 3 binary64)) |
(fma.f64 (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) x) #s(literal 3 binary64) #s(literal 3 binary64)) |
(*.f64 #s(literal 3 binary64) (+.f64 (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))) |
| Outputs |
|---|
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal 3 binary64))) |
4 calls:
| 123.0ms | (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) |
| 5.0ms | x |
| 4.0ms | (+.f64 (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) |
| 4.0ms | (*.f64 #s(literal 3 binary64) (+.f64 (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 1 | x |
| 99.9% | 1 | (*.f64 #s(literal 3 binary64) (+.f64 (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))) |
| 99.9% | 1 | (+.f64 (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) |
| 99.9% | 1 | (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) |
Compiled 34 to 27 computations (20.6% saved)
| Inputs |
|---|
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) #s(literal 3 binary64)) |
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (*.f64 #s(approx (+ (* 9 x) -12) #s(literal -12 binary64)) x)) |
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64))) |
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 #s(approx (+ (* 9 x) -12) #s(literal -12 binary64)) x #s(literal 3 binary64))) |
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (*.f64 (*.f64 x #s(literal 9 binary64)) x)) |
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (*.f64 (*.f64 x x) #s(literal 9 binary64))) |
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x)) |
(*.f64 #s(literal 3 binary64) #s(approx (+ (- (* (* x 3) x) (* x 4)) 1) (fma.f64 x #s(literal -4 binary64) #s(literal 1 binary64)))) |
| Outputs |
|---|
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64))) |
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x)) |
4 calls:
| 36.0ms | (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) |
| 3.0ms | x |
| 3.0ms | (+.f64 (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) |
| 3.0ms | (*.f64 #s(literal 3 binary64) (+.f64 (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.2% | 3 | x |
| 99.2% | 2 | (*.f64 #s(literal 3 binary64) (+.f64 (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))) |
| 99.2% | 2 | (+.f64 (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) |
| 99.2% | 2 | (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) |
Compiled 34 to 27 computations (20.6% saved)
| Inputs |
|---|
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) #s(literal 3 binary64)) |
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (*.f64 #s(approx (+ (* 9 x) -12) #s(literal -12 binary64)) x)) |
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64))) |
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 #s(approx (+ (* 9 x) -12) #s(literal -12 binary64)) x #s(literal 3 binary64))) |
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (*.f64 (*.f64 x #s(literal 9 binary64)) x)) |
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (*.f64 (*.f64 x x) #s(literal 9 binary64))) |
| Outputs |
|---|
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64))) |
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (*.f64 (*.f64 x #s(literal 9 binary64)) x)) |
3 calls:
| 3.0ms | (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) |
| 2.0ms | (+.f64 (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) |
| 2.0ms | (*.f64 #s(literal 3 binary64) (+.f64 (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.6% | 2 | (*.f64 #s(literal 3 binary64) (+.f64 (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))) |
| 98.6% | 2 | (+.f64 (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) |
| 98.6% | 2 | (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) |
Compiled 33 to 26 computations (21.2% saved)
| Inputs |
|---|
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) #s(literal 3 binary64)) |
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (*.f64 #s(approx (+ (* 9 x) -12) #s(literal -12 binary64)) x)) |
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64))) |
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 #s(approx (+ (* 9 x) -12) #s(literal -12 binary64)) x #s(literal 3 binary64))) |
| Outputs |
|---|
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64))) |
4 calls:
| 43.0ms | (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) |
| 2.0ms | x |
| 2.0ms | (+.f64 (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) |
| 2.0ms | (*.f64 #s(literal 3 binary64) (+.f64 (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 46.8% | 1 | x |
| 46.8% | 1 | (*.f64 #s(literal 3 binary64) (+.f64 (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))) |
| 46.8% | 1 | (+.f64 (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) |
| 46.8% | 1 | (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) |
Compiled 34 to 27 computations (20.6% saved)
Total -27.5b remaining (-79.8%)
Threshold costs -27.5b (-79.8%)
| Inputs |
|---|
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) #s(literal 3 binary64)) |
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (*.f64 #s(approx (+ (* 9 x) -12) #s(literal -12 binary64)) x)) |
| Outputs |
|---|
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) #s(literal 3 binary64)) |
4 calls:
| 2.0ms | (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) |
| 1.0ms | x |
| 1.0ms | (*.f64 #s(literal 3 binary64) (+.f64 (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))) |
| 1.0ms | (+.f64 (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 46.1% | 1 | x |
| 46.1% | 1 | (*.f64 #s(literal 3 binary64) (+.f64 (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))) |
| 46.1% | 1 | (+.f64 (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) |
| 46.1% | 1 | (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) |
Compiled 34 to 27 computations (20.6% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.5080769057123032e-5 | 57347.5553646635 |
Compiled 16 to 15 computations (6.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.5080769057123032e-5 | 57347.5553646635 |
Compiled 16 to 15 computations (6.3% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 153 |
| 1 | 45 | 153 |
| 2 | 56 | 153 |
| 3 | 62 | 153 |
| 4 | 66 | 153 |
| 5 | 67 | 153 |
| 1× | saturated |
| Inputs |
|---|
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal 3 binary64))) |
(if (<=.f64 (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 7378697629483821/147573952589676412928 binary64)) #s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64))) #s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x))) |
(if (<=.f64 (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 7378697629483821/147573952589676412928 binary64)) #s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64))) #s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (*.f64 (*.f64 x #s(literal 9 binary64)) x))) |
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64))) |
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) #s(literal 3 binary64)) |
| Outputs |
|---|
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal 3 binary64))) |
(if (<=.f64 (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 7378697629483821/147573952589676412928 binary64)) #s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64))) #s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x))) |
(if (<=.f64 (-.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) x) (*.f64 #s(literal 4 binary64) x)) #s(literal 7378697629483821/147573952589676412928 binary64)) #s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64))) #s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x))) |
(if (<=.f64 (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 7378697629483821/147573952589676412928 binary64)) #s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64))) #s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (*.f64 (*.f64 x #s(literal 9 binary64)) x))) |
(if (<=.f64 (-.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) x) (*.f64 #s(literal 4 binary64) x)) #s(literal 7378697629483821/147573952589676412928 binary64)) #s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64))) #s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (*.f64 (*.f64 x #s(literal 9 binary64)) x))) |
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64))) |
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) #s(literal 3 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 160 |
| 0 | 40 | 160 |
| 1 | 150 | 130 |
| 2 | 1029 | 130 |
| 0 | 8764 | 126 |
| 0 | 51 | 308 |
| 1 | 137 | 308 |
| 2 | 323 | 308 |
| 3 | 756 | 308 |
| 4 | 1962 | 304 |
| 5 | 4238 | 304 |
| 6 | 5965 | 304 |
| 7 | 7680 | 304 |
| 0 | 8024 | 265 |
| 1× | done |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 92 to 53 computations (42.4% saved)
Compiled 172 to 86 computations (50% saved)
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