
Time bar (total: 7.7s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 25.7% | 74.3% | 0% | 0% | 0% | 0 |
| 100% | 25.7% | 0% | 74.3% | 0% | 0% | 0% | 1 |
Compiled 25 to 18 computations (28% saved)
| 540.0ms | 5 190× | 0 | valid |
| 479.0ms | 2 512× | 1 | valid |
| 142.0ms | 554× | 2 | valid |
ival-pow2: 343.0ms (46.9% of total)ival-add: 107.0ms (14.6% of total)adjust: 101.0ms (13.8% of total)ival-<=: 87.0ms (11.9% of total)ival-sub: 54.0ms (7.4% of total)ival-and: 20.0ms (2.7% of total)exact: 16.0ms (2.2% of total)ival-assert: 3.0ms (0.4% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 65 | 0 | - | 0 | - | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) |
| 0 | 0 | - | 0 | - | eps |
| 0 | 0 | - | 0 | - | (pow.f64 x #s(literal 2 binary64)) |
| 0 | 0 | - | 0 | - | #s(literal 2 binary64) |
| 0 | 0 | - | 0 | - | (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) |
| 0 | 0 | - | 0 | - | (+.f64 x eps) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
-.f64 | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) | cancellation | 65 | 1 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 65 | 0 |
| - | 0 | 191 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 65 | 0 | 0 |
| - | 0 | 1 | 190 |
| number | freq |
|---|---|
| 0 | 191 |
| 1 | 65 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 50.0ms | 336× | 0 | valid |
| 17.0ms | 150× | 1 | valid |
| 4.0ms | 26× | 2 | valid |
Compiled 61 to 25 computations (59% saved)
ival-pow2: 44.0ms (79.5% of total)ival-add: 4.0ms (7.2% of total)adjust: 3.0ms (5.4% of total)ival-sub: 3.0ms (5.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 1× | egg-herbie |
| 18 770× | lower-fma.f64 |
| 18 770× | lower-fma.f32 |
| 2 836× | lower-*.f64 |
| 2 836× | lower-*.f32 |
| 2 498× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 55 |
| 1 | 45 | 47 |
| 2 | 149 | 45 |
| 3 | 542 | 35 |
| 4 | 1660 | 35 |
| 5 | 3800 | 35 |
| 6 | 5269 | 35 |
| 7 | 5989 | 35 |
| 8 | 6216 | 35 |
| 9 | 6322 | 35 |
| 10 | 6343 | 35 |
| 11 | 6343 | 35 |
| 12 | 6343 | 35 |
| 13 | 6343 | 35 |
| 14 | 6434 | 35 |
| 15 | 6762 | 35 |
| 16 | 7560 | 35 |
| 17 | 7996 | 35 |
| 0 | 7 | 9 |
| 0 | 11 | 9 |
| 1 | 16 | 9 |
| 2 | 36 | 9 |
| 3 | 96 | 9 |
| 4 | 276 | 7 |
| 5 | 861 | 7 |
| 6 | 2374 | 7 |
| 7 | 4277 | 7 |
| 8 | 5921 | 7 |
| 9 | 6913 | 7 |
| 10 | 7338 | 7 |
| 11 | 7606 | 7 |
| 12 | 7612 | 7 |
| 13 | 7612 | 7 |
| 0 | 8047 | 6 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) |
| Outputs |
|---|
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) |
(*.f64 eps (+.f64 eps (+.f64 x x))) |
Compiled 11 to 7 computations (36.4% saved)
Compiled 2 to 2 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 77.6% | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) |
Compiled 11 to 7 computations (36.4% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (+.f64 x eps) | |
| cost-diff | 512 | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) | |
| cost-diff | 5952 | (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) | |
| cost-diff | 6144 | (pow.f64 x #s(literal 2 binary64)) |
| 18 770× | lower-fma.f64 |
| 18 770× | lower-fma.f32 |
| 2 836× | lower-*.f64 |
| 2 836× | lower-*.f32 |
| 2 498× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 23 |
| 0 | 11 | 23 |
| 1 | 16 | 23 |
| 2 | 36 | 23 |
| 3 | 96 | 23 |
| 4 | 276 | 21 |
| 5 | 861 | 21 |
| 6 | 2374 | 21 |
| 7 | 4277 | 21 |
| 8 | 5921 | 21 |
| 9 | 6913 | 21 |
| 10 | 7338 | 21 |
| 11 | 7606 | 21 |
| 12 | 7612 | 21 |
| 13 | 7612 | 21 |
| 0 | 8047 | 20 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) |
(pow.f64 (+.f64 x eps) #s(literal 2 binary64)) |
(+.f64 x eps) |
x |
eps |
#s(literal 2 binary64) |
(pow.f64 x #s(literal 2 binary64)) |
| Outputs |
|---|
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) |
(*.f64 eps (+.f64 eps (+.f64 x x))) |
(pow.f64 (+.f64 x eps) #s(literal 2 binary64)) |
(*.f64 (+.f64 x eps) (+.f64 x eps)) |
(+.f64 x eps) |
x |
eps |
#s(literal 2 binary64) |
(pow.f64 x #s(literal 2 binary64)) |
(*.f64 x x) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (pow.f64 x #s(literal 2 binary64)) | |
| accuracy | 0 | (+.f64 x eps) | |
| accuracy | 0.01953125 | (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) | |
| accuracy | 14.333604029977964 | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) |
| 9.0ms | 75× | 1 | valid |
| 9.0ms | 168× | 0 | valid |
| 2.0ms | 13× | 2 | valid |
Compiled 25 to 9 computations (64% saved)
ival-pow2: 6.0ms (50.2% of total)ival-add: 2.0ms (16.7% of total)ival-sub: 2.0ms (16.7% of total)adjust: 1.0ms (8.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (pow.f64 x #s(literal 2 binary64)) (patch (pow.f64 x #s(literal 2 binary64)) #<representation binary64>) () ()) |
#s(alt (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) #<representation binary64>) () ()) |
#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) #<representation binary64>) () ()) |
#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (pow x 2) (taylor 0 x) (#s(alt (pow.f64 x #s(literal 2 binary64)) (patch (pow.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor 0 x) (#s(alt (pow.f64 x #s(literal 2 binary64)) (patch (pow.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor 0 x) (#s(alt (pow.f64 x #s(literal 2 binary64)) (patch (pow.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor 0 x) (#s(alt (pow.f64 x #s(literal 2 binary64)) (patch (pow.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor inf x) (#s(alt (pow.f64 x #s(literal 2 binary64)) (patch (pow.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor inf x) (#s(alt (pow.f64 x #s(literal 2 binary64)) (patch (pow.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor inf x) (#s(alt (pow.f64 x #s(literal 2 binary64)) (patch (pow.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor inf x) (#s(alt (pow.f64 x #s(literal 2 binary64)) (patch (pow.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor -inf x) (#s(alt (pow.f64 x #s(literal 2 binary64)) (patch (pow.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor -inf x) (#s(alt (pow.f64 x #s(literal 2 binary64)) (patch (pow.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor -inf x) (#s(alt (pow.f64 x #s(literal 2 binary64)) (patch (pow.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor -inf x) (#s(alt (pow.f64 x #s(literal 2 binary64)) (patch (pow.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow eps 2) (taylor 0 x) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (* eps x)) (pow eps 2)) (taylor 0 x) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (+ x (* 2 eps))) (pow eps 2)) (taylor 0 x) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (+ x (* 2 eps))) (pow eps 2)) (taylor 0 x) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor inf x) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1 (* 2 (/ eps x)))) (taylor inf x) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1 (+ (* 2 (/ eps x)) (/ (pow eps 2) (pow x 2))))) (taylor inf x) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1 (+ (* 2 (/ eps x)) (/ (pow eps 2) (pow x 2))))) (taylor inf x) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor -inf x) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1 (* 2 (/ eps x)))) (taylor -inf x) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1 (* -1 (/ (+ (* -2 eps) (* -1 (/ (pow eps 2) x))) x)))) (taylor -inf x) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1 (* -1 (/ (+ (* -2 eps) (* -1 (/ (pow eps 2) x))) x)))) (taylor -inf x) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor 0 eps) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (* eps x)) (pow x 2)) (taylor 0 eps) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* eps (+ eps (* 2 x))) (pow x 2)) (taylor 0 eps) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* eps (+ eps (* 2 x))) (pow x 2)) (taylor 0 eps) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow eps 2) (taylor inf eps) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow eps 2) (+ 1 (* 2 (/ x eps)))) (taylor inf eps) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow eps 2) (+ 1 (+ (* 2 (/ x eps)) (/ (pow x 2) (pow eps 2))))) (taylor inf eps) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow eps 2) (+ 1 (+ (* 2 (/ x eps)) (/ (pow x 2) (pow eps 2))))) (taylor inf eps) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow eps 2) (taylor -inf eps) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow eps 2) (+ 1 (* 2 (/ x eps)))) (taylor -inf eps) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow eps 2) (+ 1 (* -1 (/ (+ (* -2 x) (* -1 (/ (pow x 2) eps))) eps)))) (taylor -inf eps) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow eps 2) (+ 1 (* -1 (/ (+ (* -2 x) (* -1 (/ (pow x 2) eps))) eps)))) (taylor -inf eps) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow eps 2) (taylor 0 x) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (* eps x)) (pow eps 2)) (taylor 0 x) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (* eps x)) (pow eps 2)) (taylor 0 x) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (* eps x)) (pow eps 2)) (taylor 0 x) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (* eps x)) (taylor inf x) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* 2 eps) (/ (pow eps 2) x))) (taylor inf x) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* 2 eps) (/ (pow eps 2) x))) (taylor inf x) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* 2 eps) (/ (pow eps 2) x))) (taylor inf x) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (* eps x)) (taylor -inf x) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x))))) (taylor -inf x) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x))))) (taylor -inf x) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x))))) (taylor -inf x) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (* eps x)) (taylor 0 eps) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* eps (+ eps (* 2 x))) (taylor 0 eps) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* eps (+ eps (* 2 x))) (taylor 0 eps) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* eps (+ eps (* 2 x))) (taylor 0 eps) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (pow eps 2) (taylor inf eps) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow eps 2) (+ 1 (* 2 (/ x eps)))) (taylor inf eps) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow eps 2) (+ 1 (* 2 (/ x eps)))) (taylor inf eps) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow eps 2) (+ 1 (* 2 (/ x eps)))) (taylor inf eps) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (pow eps 2) (taylor -inf eps) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow eps 2) (+ 1 (* 2 (/ x eps)))) (taylor -inf eps) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow eps 2) (+ 1 (* 2 (/ x eps)))) (taylor -inf eps) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow eps 2) (+ 1 (* 2 (/ x eps)))) (taylor -inf eps) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt eps (taylor 0 x) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ()) |
#s(alt (+ eps x) (taylor 0 x) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ()) |
#s(alt (+ eps x) (taylor 0 x) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ()) |
#s(alt (+ eps x) (taylor 0 x) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ()) |
#s(alt x (taylor inf x) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ eps x))) (taylor inf x) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ eps x))) (taylor inf x) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ eps x))) (taylor inf x) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf x) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ eps x)) 1))) (taylor -inf x) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ eps x)) 1))) (taylor -inf x) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ eps x)) 1))) (taylor -inf x) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 eps) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ()) |
#s(alt (+ eps x) (taylor 0 eps) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ()) |
#s(alt (+ eps x) (taylor 0 eps) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ()) |
#s(alt (+ eps x) (taylor 0 eps) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ()) |
#s(alt eps (taylor inf eps) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ()) |
#s(alt (* eps (+ 1 (/ x eps))) (taylor inf eps) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ()) |
#s(alt (* eps (+ 1 (/ x eps))) (taylor inf eps) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ()) |
#s(alt (* eps (+ 1 (/ x eps))) (taylor inf eps) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ()) |
#s(alt eps (taylor -inf eps) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* eps (- (* -1 (/ x eps)) 1))) (taylor -inf eps) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* eps (- (* -1 (/ x eps)) 1))) (taylor -inf eps) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* eps (- (* -1 (/ x eps)) 1))) (taylor -inf eps) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ()) |
21 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | eps | @ | inf | (pow (+ x eps) 2) |
| 0.0ms | x | @ | inf | (pow x 2) |
| 0.0ms | x | @ | 0 | (pow x 2) |
| 0.0ms | eps | @ | 0 | (- (pow (+ x eps) 2) (pow x 2)) |
| 0.0ms | x | @ | 0 | (pow (+ x eps) 2) |
| 1× | egg-herbie |
| 9 222× | lower-fma.f64 |
| 9 222× | lower-fma.f32 |
| 3 242× | lower-*.f64 |
| 3 242× | lower-*.f32 |
| 1 646× | lower--.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 69 | 492 |
| 1 | 214 | 450 |
| 2 | 574 | 450 |
| 3 | 1825 | 438 |
| 4 | 4173 | 438 |
| 5 | 7244 | 438 |
| 0 | 8097 | 390 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow eps 2) |
(+ (* 2 (* eps x)) (pow eps 2)) |
(+ (* x (+ x (* 2 eps))) (pow eps 2)) |
(+ (* x (+ x (* 2 eps))) (pow eps 2)) |
(pow x 2) |
(* (pow x 2) (+ 1 (* 2 (/ eps x)))) |
(* (pow x 2) (+ 1 (+ (* 2 (/ eps x)) (/ (pow eps 2) (pow x 2))))) |
(* (pow x 2) (+ 1 (+ (* 2 (/ eps x)) (/ (pow eps 2) (pow x 2))))) |
(pow x 2) |
(* (pow x 2) (+ 1 (* 2 (/ eps x)))) |
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -2 eps) (* -1 (/ (pow eps 2) x))) x)))) |
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -2 eps) (* -1 (/ (pow eps 2) x))) x)))) |
(pow x 2) |
(+ (* 2 (* eps x)) (pow x 2)) |
(+ (* eps (+ eps (* 2 x))) (pow x 2)) |
(+ (* eps (+ eps (* 2 x))) (pow x 2)) |
(pow eps 2) |
(* (pow eps 2) (+ 1 (* 2 (/ x eps)))) |
(* (pow eps 2) (+ 1 (+ (* 2 (/ x eps)) (/ (pow x 2) (pow eps 2))))) |
(* (pow eps 2) (+ 1 (+ (* 2 (/ x eps)) (/ (pow x 2) (pow eps 2))))) |
(pow eps 2) |
(* (pow eps 2) (+ 1 (* 2 (/ x eps)))) |
(* (pow eps 2) (+ 1 (* -1 (/ (+ (* -2 x) (* -1 (/ (pow x 2) eps))) eps)))) |
(* (pow eps 2) (+ 1 (* -1 (/ (+ (* -2 x) (* -1 (/ (pow x 2) eps))) eps)))) |
(pow eps 2) |
(+ (* 2 (* eps x)) (pow eps 2)) |
(+ (* 2 (* eps x)) (pow eps 2)) |
(+ (* 2 (* eps x)) (pow eps 2)) |
(* 2 (* eps x)) |
(* x (+ (* 2 eps) (/ (pow eps 2) x))) |
(* x (+ (* 2 eps) (/ (pow eps 2) x))) |
(* x (+ (* 2 eps) (/ (pow eps 2) x))) |
(* 2 (* eps x)) |
(* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x))))) |
(* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x))))) |
(* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x))))) |
(* 2 (* eps x)) |
(* eps (+ eps (* 2 x))) |
(* eps (+ eps (* 2 x))) |
(* eps (+ eps (* 2 x))) |
(pow eps 2) |
(* (pow eps 2) (+ 1 (* 2 (/ x eps)))) |
(* (pow eps 2) (+ 1 (* 2 (/ x eps)))) |
(* (pow eps 2) (+ 1 (* 2 (/ x eps)))) |
(pow eps 2) |
(* (pow eps 2) (+ 1 (* 2 (/ x eps)))) |
(* (pow eps 2) (+ 1 (* 2 (/ x eps)))) |
(* (pow eps 2) (+ 1 (* 2 (/ x eps)))) |
eps |
(+ eps x) |
(+ eps x) |
(+ eps x) |
x |
(* x (+ 1 (/ eps x))) |
(* x (+ 1 (/ eps x))) |
(* x (+ 1 (/ eps x))) |
x |
(* -1 (* x (- (* -1 (/ eps x)) 1))) |
(* -1 (* x (- (* -1 (/ eps x)) 1))) |
(* -1 (* x (- (* -1 (/ eps x)) 1))) |
x |
(+ eps x) |
(+ eps x) |
(+ eps x) |
eps |
(* eps (+ 1 (/ x eps))) |
(* eps (+ 1 (/ x eps))) |
(* eps (+ 1 (/ x eps))) |
eps |
(* -1 (* eps (- (* -1 (/ x eps)) 1))) |
(* -1 (* eps (- (* -1 (/ x eps)) 1))) |
(* -1 (* eps (- (* -1 (/ x eps)) 1))) |
| Outputs |
|---|
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow eps 2) |
(*.f64 eps eps) |
(+ (* 2 (* eps x)) (pow eps 2)) |
(*.f64 eps (fma.f64 x #s(literal 2 binary64) eps)) |
(+ (* x (+ x (* 2 eps))) (pow eps 2)) |
(fma.f64 x x (*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))) |
(+ (* x (+ x (* 2 eps))) (pow eps 2)) |
(fma.f64 x x (*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (* 2 (/ eps x)))) |
(*.f64 x (fma.f64 #s(literal 2 binary64) eps x)) |
(* (pow x 2) (+ 1 (+ (* 2 (/ eps x)) (/ (pow eps 2) (pow x 2))))) |
(fma.f64 x x (*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))) |
(* (pow x 2) (+ 1 (+ (* 2 (/ eps x)) (/ (pow eps 2) (pow x 2))))) |
(fma.f64 x x (*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (* 2 (/ eps x)))) |
(*.f64 x (fma.f64 #s(literal 2 binary64) eps x)) |
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -2 eps) (* -1 (/ (pow eps 2) x))) x)))) |
(fma.f64 x x (*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))) |
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -2 eps) (* -1 (/ (pow eps 2) x))) x)))) |
(fma.f64 x x (*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))) |
(pow x 2) |
(*.f64 x x) |
(+ (* 2 (* eps x)) (pow x 2)) |
(*.f64 x (fma.f64 #s(literal 2 binary64) eps x)) |
(+ (* eps (+ eps (* 2 x))) (pow x 2)) |
(fma.f64 x x (*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))) |
(+ (* eps (+ eps (* 2 x))) (pow x 2)) |
(fma.f64 x x (*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))) |
(pow eps 2) |
(*.f64 eps eps) |
(* (pow eps 2) (+ 1 (* 2 (/ x eps)))) |
(*.f64 eps (fma.f64 x #s(literal 2 binary64) eps)) |
(* (pow eps 2) (+ 1 (+ (* 2 (/ x eps)) (/ (pow x 2) (pow eps 2))))) |
(fma.f64 x x (*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))) |
(* (pow eps 2) (+ 1 (+ (* 2 (/ x eps)) (/ (pow x 2) (pow eps 2))))) |
(fma.f64 x x (*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))) |
(pow eps 2) |
(*.f64 eps eps) |
(* (pow eps 2) (+ 1 (* 2 (/ x eps)))) |
(*.f64 eps (fma.f64 x #s(literal 2 binary64) eps)) |
(* (pow eps 2) (+ 1 (* -1 (/ (+ (* -2 x) (* -1 (/ (pow x 2) eps))) eps)))) |
(fma.f64 x x (*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))) |
(* (pow eps 2) (+ 1 (* -1 (/ (+ (* -2 x) (* -1 (/ (pow x 2) eps))) eps)))) |
(fma.f64 x x (*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))) |
(pow eps 2) |
(*.f64 eps eps) |
(+ (* 2 (* eps x)) (pow eps 2)) |
(*.f64 eps (fma.f64 x #s(literal 2 binary64) eps)) |
(+ (* 2 (* eps x)) (pow eps 2)) |
(*.f64 eps (fma.f64 x #s(literal 2 binary64) eps)) |
(+ (* 2 (* eps x)) (pow eps 2)) |
(*.f64 eps (fma.f64 x #s(literal 2 binary64) eps)) |
(* 2 (* eps x)) |
(*.f64 x (*.f64 #s(literal 2 binary64) eps)) |
(* x (+ (* 2 eps) (/ (pow eps 2) x))) |
(*.f64 eps (fma.f64 x #s(literal 2 binary64) eps)) |
(* x (+ (* 2 eps) (/ (pow eps 2) x))) |
(*.f64 eps (fma.f64 x #s(literal 2 binary64) eps)) |
(* x (+ (* 2 eps) (/ (pow eps 2) x))) |
(*.f64 eps (fma.f64 x #s(literal 2 binary64) eps)) |
(* 2 (* eps x)) |
(*.f64 x (*.f64 #s(literal 2 binary64) eps)) |
(* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x))))) |
(*.f64 eps (fma.f64 x #s(literal 2 binary64) eps)) |
(* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x))))) |
(*.f64 eps (fma.f64 x #s(literal 2 binary64) eps)) |
(* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x))))) |
(*.f64 eps (fma.f64 x #s(literal 2 binary64) eps)) |
(* 2 (* eps x)) |
(*.f64 x (*.f64 #s(literal 2 binary64) eps)) |
(* eps (+ eps (* 2 x))) |
(*.f64 eps (fma.f64 x #s(literal 2 binary64) eps)) |
(* eps (+ eps (* 2 x))) |
(*.f64 eps (fma.f64 x #s(literal 2 binary64) eps)) |
(* eps (+ eps (* 2 x))) |
(*.f64 eps (fma.f64 x #s(literal 2 binary64) eps)) |
(pow eps 2) |
(*.f64 eps eps) |
(* (pow eps 2) (+ 1 (* 2 (/ x eps)))) |
(*.f64 eps (fma.f64 x #s(literal 2 binary64) eps)) |
(* (pow eps 2) (+ 1 (* 2 (/ x eps)))) |
(*.f64 eps (fma.f64 x #s(literal 2 binary64) eps)) |
(* (pow eps 2) (+ 1 (* 2 (/ x eps)))) |
(*.f64 eps (fma.f64 x #s(literal 2 binary64) eps)) |
(pow eps 2) |
(*.f64 eps eps) |
(* (pow eps 2) (+ 1 (* 2 (/ x eps)))) |
(*.f64 eps (fma.f64 x #s(literal 2 binary64) eps)) |
(* (pow eps 2) (+ 1 (* 2 (/ x eps)))) |
(*.f64 eps (fma.f64 x #s(literal 2 binary64) eps)) |
(* (pow eps 2) (+ 1 (* 2 (/ x eps)))) |
(*.f64 eps (fma.f64 x #s(literal 2 binary64) eps)) |
eps |
(+ eps x) |
(+.f64 x eps) |
(+ eps x) |
(+.f64 x eps) |
(+ eps x) |
(+.f64 x eps) |
x |
(* x (+ 1 (/ eps x))) |
(+.f64 x eps) |
(* x (+ 1 (/ eps x))) |
(+.f64 x eps) |
(* x (+ 1 (/ eps x))) |
(+.f64 x eps) |
x |
(* -1 (* x (- (* -1 (/ eps x)) 1))) |
(+.f64 x eps) |
(* -1 (* x (- (* -1 (/ eps x)) 1))) |
(+.f64 x eps) |
(* -1 (* x (- (* -1 (/ eps x)) 1))) |
(+.f64 x eps) |
x |
(+ eps x) |
(+.f64 x eps) |
(+ eps x) |
(+.f64 x eps) |
(+ eps x) |
(+.f64 x eps) |
eps |
(* eps (+ 1 (/ x eps))) |
(+.f64 x eps) |
(* eps (+ 1 (/ x eps))) |
(+.f64 x eps) |
(* eps (+ 1 (/ x eps))) |
(+.f64 x eps) |
eps |
(* -1 (* eps (- (* -1 (/ x eps)) 1))) |
(+.f64 x eps) |
(* -1 (* eps (- (* -1 (/ x eps)) 1))) |
(+.f64 x eps) |
(* -1 (* eps (- (* -1 (/ x eps)) 1))) |
(+.f64 x eps) |
| 5 048× | lower-fma.f64 |
| 5 048× | lower-fma.f32 |
| 4 066× | lower-*.f64 |
| 4 066× | lower-*.f32 |
| 2 090× | lower-/.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 20 |
| 0 | 11 | 20 |
| 1 | 52 | 20 |
| 2 | 371 | 20 |
| 3 | 5107 | 20 |
| 0 | 8219 | 20 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(pow.f64 x #s(literal 2 binary64)) |
(pow.f64 (+.f64 x eps) #s(literal 2 binary64)) |
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) |
(+.f64 x eps) |
| Outputs |
|---|
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x))) |
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 2 binary64))) (log.f64 x))) |
(exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 x)) #s(literal 4 binary64))) |
(exp.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 1/2 binary64)) #s(literal 4 binary64))) |
(pow.f64 x #s(literal 2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 1 binary64)) |
(pow.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/2 binary64)) |
(pow.f64 (sqrt.f64 x) #s(literal 4 binary64)) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 x)) |
(pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) #s(literal 1 binary64)) (log.f64 x)) |
(*.f64 x x) |
(*.f64 (*.f64 x (sqrt.f64 x)) (sqrt.f64 x)) |
(*.f64 (sqrt.f64 x) (*.f64 x (sqrt.f64 x))) |
(*.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (log.f64 x))) (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (log.f64 x)))) |
(+.f64 (*.f64 x (+.f64 x eps)) (*.f64 eps (+.f64 x eps))) |
(+.f64 (*.f64 eps (+.f64 x eps)) (*.f64 x (+.f64 x eps))) |
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (+.f64 x eps)))) |
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (+.f64 x eps))) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 x eps))) #s(literal 4 binary64))) |
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 2 binary64))) (log.f64 (+.f64 x eps)))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 x eps)) #s(literal 1/2 binary64)) #s(literal 4 binary64))) |
(exp.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (+.f64 x eps))) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(fma.f64 x (+.f64 x eps) (*.f64 eps (+.f64 x eps))) |
(fma.f64 eps (+.f64 x eps) (*.f64 x (+.f64 x eps))) |
(fma.f64 (+.f64 x eps) x (*.f64 eps (+.f64 x eps))) |
(fma.f64 (+.f64 x eps) eps (*.f64 x (+.f64 x eps))) |
(fma.f64 (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 eps (-.f64 eps x)))) eps) (*.f64 x (+.f64 x eps))) |
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(*.f64 (neg.f64 (*.f64 (*.f64 (+.f64 x (+.f64 x eps)) (+.f64 x (-.f64 eps x))) (fma.f64 (+.f64 x eps) (+.f64 x eps) (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (+.f64 x eps) (+.f64 x eps) (*.f64 x x))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (+.f64 x eps) (+.f64 x eps) (*.f64 x x)) (*.f64 (+.f64 x eps) (*.f64 (+.f64 x eps) (*.f64 (+.f64 x eps) (+.f64 x eps)))))) (*.f64 (fma.f64 (+.f64 x eps) (*.f64 (+.f64 x eps) (+.f64 x eps)) (*.f64 x (*.f64 x x))) (-.f64 (*.f64 (+.f64 x eps) (*.f64 (+.f64 x eps) (+.f64 x eps))) (*.f64 x (*.f64 x x))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 x eps) (+.f64 x eps) (*.f64 x x))) (*.f64 (*.f64 (+.f64 x (+.f64 x eps)) (+.f64 x (-.f64 eps x))) (fma.f64 (+.f64 x eps) (+.f64 x eps) (*.f64 x x)))) |
(*.f64 (+.f64 x (+.f64 x eps)) (+.f64 x (-.f64 eps x))) |
(*.f64 (+.f64 x (-.f64 eps x)) (+.f64 x (+.f64 x eps))) |
(*.f64 (/.f64 (*.f64 (*.f64 (+.f64 x (+.f64 x eps)) (+.f64 x (-.f64 eps x))) (fma.f64 (+.f64 x eps) (+.f64 x eps) (*.f64 x x))) (*.f64 (fma.f64 (+.f64 x eps) (*.f64 (+.f64 x eps) (+.f64 x eps)) (*.f64 x (*.f64 x x))) (-.f64 (*.f64 (+.f64 x eps) (*.f64 (+.f64 x eps) (+.f64 x eps))) (*.f64 x (*.f64 x x))))) (fma.f64 (*.f64 x x) (-.f64 (*.f64 x x) (*.f64 (+.f64 x eps) (+.f64 x eps))) (*.f64 (+.f64 x eps) (*.f64 (+.f64 x eps) (*.f64 (+.f64 x eps) (+.f64 x eps)))))) |
(*.f64 (/.f64 (*.f64 (*.f64 (+.f64 x (+.f64 x eps)) (+.f64 x (-.f64 eps x))) (fma.f64 (+.f64 x eps) (+.f64 x eps) (*.f64 x x))) (*.f64 (*.f64 (+.f64 x (+.f64 x eps)) (+.f64 x (-.f64 eps x))) (fma.f64 (+.f64 x eps) (+.f64 x eps) (*.f64 x x)))) (*.f64 (+.f64 x (+.f64 x eps)) (+.f64 x (-.f64 eps x)))) |
(*.f64 (/.f64 (*.f64 (fma.f64 (+.f64 x eps) (*.f64 (+.f64 x eps) (+.f64 x eps)) (*.f64 x (*.f64 x x))) (-.f64 (*.f64 (+.f64 x eps) (*.f64 (+.f64 x eps) (+.f64 x eps))) (*.f64 x (*.f64 x x)))) (fma.f64 (*.f64 (+.f64 x eps) (+.f64 x eps)) (*.f64 (*.f64 (*.f64 (+.f64 x eps) (*.f64 (+.f64 x eps) (+.f64 x eps))) (*.f64 (+.f64 x eps) (*.f64 (+.f64 x eps) (+.f64 x eps)))) (*.f64 (+.f64 x eps) (*.f64 (+.f64 x eps) (*.f64 (+.f64 x eps) (+.f64 x eps))))) (*.f64 (*.f64 (*.f64 x x) (fma.f64 (+.f64 x eps) (+.f64 x eps) (*.f64 x x))) (*.f64 (*.f64 (*.f64 x x) (fma.f64 (+.f64 x eps) (+.f64 x eps) (*.f64 x x))) (*.f64 (*.f64 x x) (fma.f64 (+.f64 x eps) (+.f64 x eps) (*.f64 x x))))))) (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (+.f64 x eps) (+.f64 x eps) (*.f64 x x))) (-.f64 (*.f64 (*.f64 x x) (fma.f64 (+.f64 x eps) (+.f64 x eps) (*.f64 x x))) (*.f64 (+.f64 x eps) (*.f64 (+.f64 x eps) (*.f64 (+.f64 x eps) (+.f64 x eps))))) (*.f64 (*.f64 (+.f64 x eps) (+.f64 x eps)) (*.f64 (*.f64 (+.f64 x eps) (*.f64 (+.f64 x eps) (+.f64 x eps))) (*.f64 (+.f64 x eps) (*.f64 (+.f64 x eps) (+.f64 x eps))))))) |
(*.f64 (/.f64 (*.f64 (fma.f64 (+.f64 x eps) (*.f64 (+.f64 x eps) (+.f64 x eps)) (*.f64 x (*.f64 x x))) (-.f64 (*.f64 (+.f64 x eps) (*.f64 (+.f64 x eps) (+.f64 x eps))) (*.f64 x (*.f64 x x)))) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (+.f64 x eps) (+.f64 x eps) (*.f64 x x)) (*.f64 (+.f64 x eps) (*.f64 (+.f64 x eps) (*.f64 (+.f64 x eps) (+.f64 x eps))))) (-.f64 (*.f64 (+.f64 x eps) (*.f64 (+.f64 x eps) (*.f64 (+.f64 x eps) (+.f64 x eps)))) (*.f64 (*.f64 x x) (fma.f64 (+.f64 x eps) (+.f64 x eps) (*.f64 x x)))))) (-.f64 (*.f64 (+.f64 x eps) (*.f64 (+.f64 x eps) (*.f64 (+.f64 x eps) (+.f64 x eps)))) (*.f64 (*.f64 x x) (fma.f64 (+.f64 x eps) (+.f64 x eps) (*.f64 x x))))) |
(+.f64 x eps) |
(+.f64 eps x) |
(+.f64 (/.f64 (*.f64 x x) (-.f64 x eps)) (neg.f64 (*.f64 eps (/.f64 eps (-.f64 x eps))))) |
(exp.f64 (log.f64 (+.f64 x eps))) |
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (+.f64 x eps))) #s(literal 1/2 binary64))) |
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 x eps))) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 x eps))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (+.f64 x eps))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 x eps)) #s(literal 1/2 binary64)) #s(literal 2 binary64))) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x eps)) (*.f64 eps (/.f64 eps (-.f64 x eps)))) |
(-.f64 (/.f64 (*.f64 eps eps) (-.f64 eps x)) (/.f64 (*.f64 x x) (-.f64 eps x))) |
(sqrt.f64 (*.f64 (+.f64 x eps) (+.f64 x eps))) |
(fma.f64 x (/.f64 x (-.f64 x eps)) (neg.f64 (*.f64 eps (/.f64 eps (-.f64 x eps))))) |
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (-.f64 x eps)) (neg.f64 (*.f64 eps (/.f64 eps (-.f64 x eps))))) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) eps) |
(fma.f64 (/.f64 (*.f64 x x) (*.f64 (+.f64 x eps) (-.f64 x eps))) (+.f64 x eps) (neg.f64 (*.f64 eps (/.f64 eps (-.f64 x eps))))) |
(fma.f64 (/.f64 (*.f64 x x) (*.f64 (fma.f64 eps (+.f64 x eps) (*.f64 x x)) (-.f64 x eps))) (fma.f64 eps (+.f64 x eps) (*.f64 x x)) (neg.f64 (*.f64 eps (/.f64 eps (-.f64 x eps))))) |
(neg.f64 (/.f64 (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps))) (neg.f64 (fma.f64 x x (*.f64 eps (-.f64 eps x)))))) |
(neg.f64 (/.f64 (*.f64 (+.f64 x eps) (-.f64 x eps)) (neg.f64 (-.f64 x eps)))) |
(neg.f64 (/.f64 (neg.f64 (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps)))) (fma.f64 x x (*.f64 eps (-.f64 eps x))))) |
(neg.f64 (/.f64 (neg.f64 (*.f64 (+.f64 x eps) (-.f64 x eps))) (-.f64 x eps))) |
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps))) (fma.f64 x x (*.f64 eps (-.f64 eps x)))) |
(/.f64 (*.f64 (+.f64 x eps) (-.f64 x eps)) (-.f64 x eps)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x eps))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x eps)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 eps x) (*.f64 (+.f64 x eps) (-.f64 eps x)))) |
(/.f64 (neg.f64 (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps)))) (neg.f64 (fma.f64 x x (*.f64 eps (-.f64 eps x))))) |
(/.f64 (neg.f64 (*.f64 (+.f64 x eps) (-.f64 x eps))) (neg.f64 (-.f64 x eps))) |
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps eps))))) (*.f64 (fma.f64 x x (*.f64 eps (-.f64 eps x))) (fma.f64 (*.f64 eps (*.f64 eps eps)) (-.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 x eps)))) |
(/.f64 (*.f64 (+.f64 x eps) (-.f64 eps x)) (-.f64 eps x)) |
(/.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps))) (*.f64 (fma.f64 eps (+.f64 x eps) (*.f64 x x)) (-.f64 x eps))) (*.f64 (-.f64 x eps) (fma.f64 x (*.f64 x (*.f64 x x)) (*.f64 (*.f64 eps eps) (fma.f64 x x (*.f64 eps eps)))))) |
(/.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps))) (*.f64 (fma.f64 eps (+.f64 x eps) (*.f64 x x)) (-.f64 x eps))) (*.f64 (fma.f64 x x (*.f64 eps (-.f64 eps x))) (*.f64 (fma.f64 eps (+.f64 x eps) (*.f64 x x)) (-.f64 x eps)))) |
(/.f64 (*.f64 (fma.f64 x x (*.f64 eps eps)) (*.f64 (+.f64 x eps) (-.f64 x eps))) (*.f64 (-.f64 x eps) (fma.f64 x x (*.f64 eps eps)))) |
(/.f64 (exp.f64 (log.f64 (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps))))) (exp.f64 (log.f64 (fma.f64 x x (*.f64 eps (-.f64 eps x)))))) |
(/.f64 (exp.f64 (log.f64 (*.f64 (+.f64 x eps) (-.f64 x eps)))) (exp.f64 (log.f64 (-.f64 x eps)))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x eps)) (*.f64 (-.f64 x eps) (*.f64 eps eps))) (*.f64 (-.f64 x eps) (-.f64 x eps))) |
(/.f64 (*.f64 (*.f64 (fma.f64 x x (*.f64 eps eps)) (*.f64 (+.f64 x eps) (-.f64 x eps))) #s(literal 1 binary64)) (*.f64 (fma.f64 x x (*.f64 eps eps)) (-.f64 x eps))) |
(/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps eps))))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 eps (*.f64 eps eps)) (-.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) (fma.f64 x x (*.f64 eps (-.f64 eps x))))) |
(/.f64 (*.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps))) (*.f64 (fma.f64 eps (+.f64 x eps) (*.f64 x x)) (-.f64 x eps))) #s(literal 1 binary64)) (*.f64 (fma.f64 x (*.f64 x (*.f64 x x)) (*.f64 (*.f64 eps eps) (fma.f64 x x (*.f64 eps eps)))) (-.f64 x eps))) |
(/.f64 (*.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps))) (*.f64 (fma.f64 eps (+.f64 x eps) (*.f64 x x)) (-.f64 x eps))) #s(literal 1 binary64)) (*.f64 (*.f64 (fma.f64 eps (+.f64 x eps) (*.f64 x x)) (-.f64 x eps)) (fma.f64 x x (*.f64 eps (-.f64 eps x))))) |
(/.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps))) #s(literal 1 binary64)) (fma.f64 x x (*.f64 eps (-.f64 eps x)))) |
(/.f64 (*.f64 (*.f64 (+.f64 x eps) (-.f64 x eps)) #s(literal 1 binary64)) (-.f64 x eps)) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps))))) (neg.f64 (neg.f64 (fma.f64 x x (*.f64 eps (-.f64 eps x)))))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (+.f64 x eps) (-.f64 x eps)))) (neg.f64 (neg.f64 (-.f64 x eps)))) |
(/.f64 (neg.f64 (*.f64 (+.f64 x eps) (-.f64 eps x))) (neg.f64 (-.f64 eps x))) |
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 (*.f64 x x) (-.f64 x eps)) (/.f64 (*.f64 x x) (-.f64 x eps))) (/.f64 (*.f64 x x) (-.f64 x eps))) (*.f64 (*.f64 (*.f64 eps (/.f64 eps (-.f64 x eps))) (*.f64 eps (/.f64 eps (-.f64 x eps)))) (*.f64 eps (/.f64 eps (-.f64 x eps))))) (fma.f64 (/.f64 (*.f64 x x) (-.f64 x eps)) (/.f64 (*.f64 x x) (-.f64 x eps)) (fma.f64 (*.f64 eps (/.f64 eps (-.f64 x eps))) (*.f64 eps (/.f64 eps (-.f64 x eps))) (*.f64 (/.f64 (*.f64 x x) (-.f64 x eps)) (*.f64 eps (/.f64 eps (-.f64 x eps))))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x x) (-.f64 x eps)) (/.f64 (*.f64 x x) (-.f64 x eps))) (*.f64 (*.f64 eps (/.f64 eps (-.f64 x eps))) (*.f64 eps (/.f64 eps (-.f64 x eps))))) (fma.f64 x (/.f64 x (-.f64 x eps)) (*.f64 eps (/.f64 eps (-.f64 x eps))))) |
(/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps eps))))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 eps (-.f64 eps x))))) (fma.f64 (*.f64 eps (*.f64 eps eps)) (-.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))) |
(/.f64 (*.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps))) (*.f64 (fma.f64 eps (+.f64 x eps) (*.f64 x x)) (-.f64 x eps))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 eps (-.f64 eps x))))) (*.f64 (fma.f64 eps (+.f64 x eps) (*.f64 x x)) (-.f64 x eps))) |
(/.f64 (*.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps))) (*.f64 (fma.f64 eps (+.f64 x eps) (*.f64 x x)) (-.f64 x eps))) (/.f64 #s(literal 1 binary64) (-.f64 x eps))) (fma.f64 x (*.f64 x (*.f64 x x)) (*.f64 (*.f64 eps eps) (fma.f64 x x (*.f64 eps eps))))) |
(/.f64 (*.f64 (*.f64 (fma.f64 x x (*.f64 eps eps)) (*.f64 (+.f64 x eps) (-.f64 x eps))) (/.f64 #s(literal 1 binary64) (-.f64 x eps))) (fma.f64 x x (*.f64 eps eps))) |
(pow.f64 (+.f64 x eps) #s(literal 1 binary64)) |
(pow.f64 (*.f64 (+.f64 x eps) (+.f64 x eps)) #s(literal 1/2 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x eps)) #s(literal -1 binary64)) |
(pow.f64 (sqrt.f64 (+.f64 x eps)) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 (log.f64 (+.f64 x eps)) #s(literal 1/2 binary64))) |
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x eps)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 eps x) (*.f64 (+.f64 x eps) (-.f64 eps x))) #s(literal -1 binary64)) |
(*.f64 (+.f64 x eps) (*.f64 (-.f64 x eps) (/.f64 #s(literal 1 binary64) (-.f64 x eps)))) |
(*.f64 (+.f64 x eps) (/.f64 (-.f64 x eps) (-.f64 x eps))) |
(*.f64 (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 eps (-.f64 eps x))))) |
(*.f64 (fma.f64 x x (*.f64 eps (-.f64 eps x))) (*.f64 (+.f64 x eps) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 eps (-.f64 eps x)))))) |
(*.f64 (fma.f64 x x (*.f64 eps (-.f64 eps x))) (/.f64 (+.f64 x eps) (fma.f64 x x (*.f64 eps (-.f64 eps x))))) |
(*.f64 (*.f64 (+.f64 x eps) (-.f64 x eps)) (/.f64 #s(literal 1 binary64) (-.f64 x eps))) |
(*.f64 #s(literal 1 binary64) (+.f64 x eps)) |
(*.f64 (neg.f64 (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x x (*.f64 eps (-.f64 eps x)))))) |
(*.f64 (neg.f64 (*.f64 (+.f64 x eps) (-.f64 x eps))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 x eps)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 eps (-.f64 eps x)))) (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x eps)) (*.f64 (+.f64 x eps) (-.f64 x eps))) |
(*.f64 (*.f64 (+.f64 x eps) (-.f64 eps x)) (/.f64 #s(literal 1 binary64) (-.f64 eps x))) |
(*.f64 (sqrt.f64 (+.f64 x eps)) (sqrt.f64 (+.f64 x eps))) |
(*.f64 (pow.f64 (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 eps (-.f64 eps x))))) |
(*.f64 (pow.f64 (*.f64 (+.f64 x eps) (-.f64 x eps)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 x eps))) |
(*.f64 (/.f64 (*.f64 (+.f64 x eps) (-.f64 x eps)) (*.f64 (+.f64 x eps) (-.f64 x eps))) (+.f64 x eps)) |
(*.f64 (/.f64 (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps))) (fma.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 eps (-.f64 eps x)) (*.f64 (*.f64 eps (-.f64 eps x)) (*.f64 eps (-.f64 eps x)))))) (fma.f64 (*.f64 eps (-.f64 eps x)) (-.f64 (*.f64 eps (-.f64 eps x)) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x))))) |
(*.f64 (/.f64 (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps))) (*.f64 (fma.f64 x x (*.f64 eps (-.f64 eps x))) (-.f64 (*.f64 x x) (*.f64 eps (-.f64 eps x))))) (-.f64 (*.f64 x x) (*.f64 eps (-.f64 eps x)))) |
(*.f64 (/.f64 (*.f64 (+.f64 x eps) (-.f64 x eps)) (*.f64 (fma.f64 eps (+.f64 x eps) (*.f64 x x)) (-.f64 x eps))) (fma.f64 eps (+.f64 x eps) (*.f64 x x))) |
Compiled 14 368 to 1 131 computations (92.1% saved)
5 alts after pruning (5 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 444 | 5 | 449 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 445 | 5 | 450 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 67.5% | (fma.f64 (+.f64 x eps) x (fma.f64 eps (+.f64 x eps) (neg.f64 (*.f64 x x)))) |
| ▶ | 67.3% | (fma.f64 (neg.f64 x) x (*.f64 (+.f64 x eps) (+.f64 x eps))) |
| ▶ | 66.7% | #s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 x (*.f64 #s(literal 2 binary64) eps))) |
| ▶ | 100.0% | #s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))) |
| ▶ | 75.3% | #s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps eps)) |
Compiled 104 to 52 computations (50% saved)
| 1× | egg-herbie |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (neg.f64 (*.f64 x x)) | |
| cost-diff | 0 | (+.f64 x eps) | |
| cost-diff | 128 | (fma.f64 eps (+.f64 x eps) (neg.f64 (*.f64 x x))) | |
| cost-diff | 768 | (fma.f64 (+.f64 x eps) x (fma.f64 eps (+.f64 x eps) (neg.f64 (*.f64 x x)))) | |
| cost-diff | 0 | (+.f64 x eps) | |
| cost-diff | 0 | (*.f64 (+.f64 x eps) (+.f64 x eps)) | |
| cost-diff | 0 | (neg.f64 x) | |
| cost-diff | 512 | (fma.f64 (neg.f64 x) x (*.f64 (+.f64 x eps) (+.f64 x eps))) | |
| cost-diff | 0 | (*.f64 x (*.f64 #s(literal 2 binary64) eps)) | |
| cost-diff | 0 | #s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 x (*.f64 #s(literal 2 binary64) eps))) | |
| cost-diff | 128 | (*.f64 #s(literal 2 binary64) eps) | |
| cost-diff | 0 | (*.f64 eps eps) | |
| cost-diff | 0 | #s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps eps)) | |
| cost-diff | 0 | (fma.f64 x #s(literal 2 binary64) eps) | |
| cost-diff | 0 | (*.f64 eps (fma.f64 x #s(literal 2 binary64) eps)) | |
| cost-diff | 0 | #s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))) |
| 17 644× | lower-fma.f32 |
| 17 636× | lower-fma.f64 |
| 2 624× | lower-+.f32 |
| 2 622× | lower-+.f64 |
| 2 384× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 23 | 132 |
| 0 | 40 | 126 |
| 1 | 74 | 126 |
| 2 | 124 | 126 |
| 3 | 275 | 108 |
| 4 | 734 | 108 |
| 5 | 2456 | 108 |
| 6 | 3891 | 108 |
| 7 | 4949 | 108 |
| 8 | 5468 | 108 |
| 9 | 5702 | 108 |
| 10 | 5796 | 108 |
| 11 | 5836 | 108 |
| 12 | 6056 | 108 |
| 13 | 6376 | 108 |
| 14 | 6440 | 108 |
| 15 | 6536 | 108 |
| 16 | 6568 | 108 |
| 17 | 6568 | 108 |
| 18 | 7947 | 108 |
| 0 | 8029 | 107 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))) |
(*.f64 eps (fma.f64 x #s(literal 2 binary64) eps)) |
eps |
(fma.f64 x #s(literal 2 binary64) eps) |
x |
#s(literal 2 binary64) |
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps eps)) |
(*.f64 eps eps) |
eps |
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 x (*.f64 #s(literal 2 binary64) eps))) |
(*.f64 x (*.f64 #s(literal 2 binary64) eps)) |
x |
(*.f64 #s(literal 2 binary64) eps) |
#s(literal 2 binary64) |
eps |
(fma.f64 (neg.f64 x) x (*.f64 (+.f64 x eps) (+.f64 x eps))) |
(neg.f64 x) |
x |
(*.f64 (+.f64 x eps) (+.f64 x eps)) |
(+.f64 x eps) |
eps |
(fma.f64 (+.f64 x eps) x (fma.f64 eps (+.f64 x eps) (neg.f64 (*.f64 x x)))) |
(+.f64 x eps) |
x |
eps |
(fma.f64 eps (+.f64 x eps) (neg.f64 (*.f64 x x))) |
(neg.f64 (*.f64 x x)) |
(*.f64 x x) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))) |
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps (+.f64 x (+.f64 x eps)))) |
(*.f64 eps (fma.f64 x #s(literal 2 binary64) eps)) |
(*.f64 eps (+.f64 x (+.f64 x eps))) |
eps |
(fma.f64 x #s(literal 2 binary64) eps) |
(+.f64 x (+.f64 x eps)) |
x |
#s(literal 2 binary64) |
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps eps)) |
(*.f64 eps eps) |
eps |
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 x (*.f64 #s(literal 2 binary64) eps))) |
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 x (+.f64 eps eps))) |
(*.f64 x (*.f64 #s(literal 2 binary64) eps)) |
(*.f64 x (+.f64 eps eps)) |
x |
(*.f64 #s(literal 2 binary64) eps) |
(+.f64 eps eps) |
#s(literal 2 binary64) |
eps |
(fma.f64 (neg.f64 x) x (*.f64 (+.f64 x eps) (+.f64 x eps))) |
(*.f64 eps (+.f64 x (+.f64 x eps))) |
(neg.f64 x) |
x |
(*.f64 (+.f64 x eps) (+.f64 x eps)) |
(+.f64 x eps) |
eps |
(fma.f64 (+.f64 x eps) x (fma.f64 eps (+.f64 x eps) (neg.f64 (*.f64 x x)))) |
(*.f64 eps (+.f64 x (+.f64 x eps))) |
(+.f64 x eps) |
x |
eps |
(fma.f64 eps (+.f64 x eps) (neg.f64 (*.f64 x x))) |
(fma.f64 x (-.f64 eps x) (*.f64 eps eps)) |
(neg.f64 (*.f64 x x)) |
(*.f64 x (neg.f64 x)) |
(*.f64 x x) |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (*.f64 x x) | |
| accuracy | 0 | (neg.f64 (*.f64 x x)) | |
| accuracy | 0.01171875 | (fma.f64 eps (+.f64 x eps) (neg.f64 (*.f64 x x))) | |
| accuracy | 20.766115561361506 | (fma.f64 (+.f64 x eps) x (fma.f64 eps (+.f64 x eps) (neg.f64 (*.f64 x x)))) | |
| accuracy | 0 | (+.f64 x eps) | |
| accuracy | 0 | (neg.f64 x) | |
| accuracy | 0.01953125 | (*.f64 (+.f64 x eps) (+.f64 x eps)) | |
| accuracy | 20.898107906709566 | (fma.f64 (neg.f64 x) x (*.f64 (+.f64 x eps) (+.f64 x eps))) | |
| accuracy | 0 | (*.f64 x (*.f64 #s(literal 2 binary64) eps)) | |
| accuracy | 0 | (*.f64 #s(literal 2 binary64) eps) | |
| accuracy | 21.305348917980293 | #s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 x (*.f64 #s(literal 2 binary64) eps))) | |
| accuracy | 0 | (*.f64 eps eps) | |
| accuracy | 15.778342268794304 | #s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps eps)) | |
| accuracy | 0 | (fma.f64 x #s(literal 2 binary64) eps) | |
| accuracy | 0 | #s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))) | |
| accuracy | 0.0078125 | (*.f64 eps (fma.f64 x #s(literal 2 binary64) eps)) |
| 40.0ms | 168× | 0 | valid |
| 23.0ms | 75× | 1 | valid |
| 6.0ms | 13× | 2 | valid |
Compiled 123 to 25 computations (79.7% saved)
ival-mult: 24.0ms (51.5% of total)ival-add: 7.0ms (15% of total)ival-pow2: 6.0ms (12.9% of total)adjust: 4.0ms (8.6% of total)ival-sub: 2.0ms (4.3% of total)ival-neg: 2.0ms (4.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt #s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))) (patch #s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))) #<representation binary64>) () ()) |
#s(alt (*.f64 eps (fma.f64 x #s(literal 2 binary64) eps)) (patch (*.f64 eps (fma.f64 x #s(literal 2 binary64) eps)) #<representation binary64>) () ()) |
#s(alt (fma.f64 x #s(literal 2 binary64) eps) (patch (fma.f64 x #s(literal 2 binary64) eps) #<representation binary64>) () ()) |
#s(alt #s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps eps)) (patch #s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps eps)) #<representation binary64>) () ()) |
#s(alt (*.f64 eps eps) (patch (*.f64 eps eps) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 2 binary64) eps) (patch (*.f64 #s(literal 2 binary64) eps) #<representation binary64>) () ()) |
#s(alt #s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 x (*.f64 #s(literal 2 binary64) eps))) (patch #s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 x (*.f64 #s(literal 2 binary64) eps))) #<representation binary64>) () ()) |
#s(alt (*.f64 x (*.f64 #s(literal 2 binary64) eps)) (patch (*.f64 x (*.f64 #s(literal 2 binary64) eps)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (neg.f64 x) x (*.f64 (+.f64 x eps) (+.f64 x eps))) (patch (fma.f64 (neg.f64 x) x (*.f64 (+.f64 x eps) (+.f64 x eps))) #<representation binary64>) () ()) |
#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ()) |
#s(alt (*.f64 (+.f64 x eps) (+.f64 x eps)) (patch (*.f64 (+.f64 x eps) (+.f64 x eps)) #<representation binary64>) () ()) |
#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ()) |
#s(alt (fma.f64 (+.f64 x eps) x (fma.f64 eps (+.f64 x eps) (neg.f64 (*.f64 x x)))) (patch (fma.f64 (+.f64 x eps) x (fma.f64 eps (+.f64 x eps) (neg.f64 (*.f64 x x)))) #<representation binary64>) () ()) |
#s(alt (fma.f64 eps (+.f64 x eps) (neg.f64 (*.f64 x x))) (patch (fma.f64 eps (+.f64 x eps) (neg.f64 (*.f64 x x))) #<representation binary64>) () ()) |
#s(alt (neg.f64 (*.f64 x x)) (patch (neg.f64 (*.f64 x x)) #<representation binary64>) () ()) |
#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (pow eps 2) (taylor 0 x) (#s(alt #s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))) (patch #s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (* eps x)) (pow eps 2)) (taylor 0 x) (#s(alt #s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))) (patch #s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (* eps x)) (pow eps 2)) (taylor 0 x) (#s(alt #s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))) (patch #s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (* eps x)) (pow eps 2)) (taylor 0 x) (#s(alt #s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))) (patch #s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (* eps x)) (taylor inf x) (#s(alt #s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))) (patch #s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* 2 eps) (/ (pow eps 2) x))) (taylor inf x) (#s(alt #s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))) (patch #s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* 2 eps) (/ (pow eps 2) x))) (taylor inf x) (#s(alt #s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))) (patch #s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* 2 eps) (/ (pow eps 2) x))) (taylor inf x) (#s(alt #s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))) (patch #s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (* eps x)) (taylor -inf x) (#s(alt #s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))) (patch #s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x))))) (taylor -inf x) (#s(alt #s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))) (patch #s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x))))) (taylor -inf x) (#s(alt #s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))) (patch #s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x))))) (taylor -inf x) (#s(alt #s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))) (patch #s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (* eps x)) (taylor 0 eps) (#s(alt #s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))) (patch #s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))) #<representation binary64>) () ())) ()) |
#s(alt (* eps (+ eps (* 2 x))) (taylor 0 eps) (#s(alt #s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))) (patch #s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))) #<representation binary64>) () ())) ()) |
#s(alt (* eps (+ eps (* 2 x))) (taylor 0 eps) (#s(alt #s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))) (patch #s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))) #<representation binary64>) () ())) ()) |
#s(alt (* eps (+ eps (* 2 x))) (taylor 0 eps) (#s(alt #s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))) (patch #s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))) #<representation binary64>) () ())) ()) |
#s(alt (pow eps 2) (taylor inf eps) (#s(alt #s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))) (patch #s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow eps 2) (+ 1 (* 2 (/ x eps)))) (taylor inf eps) (#s(alt #s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))) (patch #s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow eps 2) (+ 1 (* 2 (/ x eps)))) (taylor inf eps) (#s(alt #s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))) (patch #s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow eps 2) (+ 1 (* 2 (/ x eps)))) (taylor inf eps) (#s(alt #s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))) (patch #s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))) #<representation binary64>) () ())) ()) |
#s(alt (pow eps 2) (taylor -inf eps) (#s(alt #s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))) (patch #s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow eps 2) (+ 1 (* 2 (/ x eps)))) (taylor -inf eps) (#s(alt #s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))) (patch #s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow eps 2) (+ 1 (* 2 (/ x eps)))) (taylor -inf eps) (#s(alt #s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))) (patch #s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow eps 2) (+ 1 (* 2 (/ x eps)))) (taylor -inf eps) (#s(alt #s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))) (patch #s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (* eps x)) (taylor 0 eps) (#s(alt (*.f64 eps (fma.f64 x #s(literal 2 binary64) eps)) (patch (*.f64 eps (fma.f64 x #s(literal 2 binary64) eps)) #<representation binary64>) () ())) ()) |
#s(alt (* eps (+ eps (* 2 x))) (taylor 0 eps) (#s(alt (*.f64 eps (fma.f64 x #s(literal 2 binary64) eps)) (patch (*.f64 eps (fma.f64 x #s(literal 2 binary64) eps)) #<representation binary64>) () ())) ()) |
#s(alt (* eps (+ eps (* 2 x))) (taylor 0 eps) (#s(alt (*.f64 eps (fma.f64 x #s(literal 2 binary64) eps)) (patch (*.f64 eps (fma.f64 x #s(literal 2 binary64) eps)) #<representation binary64>) () ())) ()) |
#s(alt (* eps (+ eps (* 2 x))) (taylor 0 eps) (#s(alt (*.f64 eps (fma.f64 x #s(literal 2 binary64) eps)) (patch (*.f64 eps (fma.f64 x #s(literal 2 binary64) eps)) #<representation binary64>) () ())) ()) |
#s(alt (pow eps 2) (taylor inf eps) (#s(alt (*.f64 eps (fma.f64 x #s(literal 2 binary64) eps)) (patch (*.f64 eps (fma.f64 x #s(literal 2 binary64) eps)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow eps 2) (+ 1 (* 2 (/ x eps)))) (taylor inf eps) (#s(alt (*.f64 eps (fma.f64 x #s(literal 2 binary64) eps)) (patch (*.f64 eps (fma.f64 x #s(literal 2 binary64) eps)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow eps 2) (+ 1 (* 2 (/ x eps)))) (taylor inf eps) (#s(alt (*.f64 eps (fma.f64 x #s(literal 2 binary64) eps)) (patch (*.f64 eps (fma.f64 x #s(literal 2 binary64) eps)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow eps 2) (+ 1 (* 2 (/ x eps)))) (taylor inf eps) (#s(alt (*.f64 eps (fma.f64 x #s(literal 2 binary64) eps)) (patch (*.f64 eps (fma.f64 x #s(literal 2 binary64) eps)) #<representation binary64>) () ())) ()) |
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#s(alt (* (pow eps 2) (+ 1 (* 2 (/ x eps)))) (taylor -inf eps) (#s(alt (*.f64 eps (fma.f64 x #s(literal 2 binary64) eps)) (patch (*.f64 eps (fma.f64 x #s(literal 2 binary64) eps)) #<representation binary64>) () ())) ()) |
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#s(alt (* (pow x 2) (- (/ eps x) 1)) (taylor inf x) (#s(alt (fma.f64 eps (+.f64 x eps) (neg.f64 (*.f64 x x))) (patch (fma.f64 eps (+.f64 x eps) (neg.f64 (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- (+ (/ eps x) (/ (pow eps 2) (pow x 2))) 1)) (taylor inf x) (#s(alt (fma.f64 eps (+.f64 x eps) (neg.f64 (*.f64 x x))) (patch (fma.f64 eps (+.f64 x eps) (neg.f64 (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- (+ (/ eps x) (/ (pow eps 2) (pow x 2))) 1)) (taylor inf x) (#s(alt (fma.f64 eps (+.f64 x eps) (neg.f64 (*.f64 x x))) (patch (fma.f64 eps (+.f64 x eps) (neg.f64 (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (pow x 2)) (taylor -inf x) (#s(alt (fma.f64 eps (+.f64 x eps) (neg.f64 (*.f64 x x))) (patch (fma.f64 eps (+.f64 x eps) (neg.f64 (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- (/ eps x) 1)) (taylor -inf x) (#s(alt (fma.f64 eps (+.f64 x eps) (neg.f64 (*.f64 x x))) (patch (fma.f64 eps (+.f64 x eps) (neg.f64 (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- (* -1 (/ (+ (* -1 eps) (* -1 (/ (pow eps 2) x))) x)) 1)) (taylor -inf x) (#s(alt (fma.f64 eps (+.f64 x eps) (neg.f64 (*.f64 x x))) (patch (fma.f64 eps (+.f64 x eps) (neg.f64 (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- (* -1 (/ (+ (* -1 eps) (* -1 (/ (pow eps 2) x))) x)) 1)) (taylor -inf x) (#s(alt (fma.f64 eps (+.f64 x eps) (neg.f64 (*.f64 x x))) (patch (fma.f64 eps (+.f64 x eps) (neg.f64 (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (pow x 2)) (taylor 0 x) (#s(alt (neg.f64 (*.f64 x x)) (patch (neg.f64 (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (pow x 2)) (taylor 0 x) (#s(alt (neg.f64 (*.f64 x x)) (patch (neg.f64 (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (pow x 2)) (taylor 0 x) (#s(alt (neg.f64 (*.f64 x x)) (patch (neg.f64 (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (pow x 2)) (taylor 0 x) (#s(alt (neg.f64 (*.f64 x x)) (patch (neg.f64 (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (pow x 2)) (taylor inf x) (#s(alt (neg.f64 (*.f64 x x)) (patch (neg.f64 (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (pow x 2)) (taylor inf x) (#s(alt (neg.f64 (*.f64 x x)) (patch (neg.f64 (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (pow x 2)) (taylor inf x) (#s(alt (neg.f64 (*.f64 x x)) (patch (neg.f64 (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (pow x 2)) (taylor inf x) (#s(alt (neg.f64 (*.f64 x x)) (patch (neg.f64 (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (pow x 2)) (taylor -inf x) (#s(alt (neg.f64 (*.f64 x x)) (patch (neg.f64 (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (pow x 2)) (taylor -inf x) (#s(alt (neg.f64 (*.f64 x x)) (patch (neg.f64 (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (pow x 2)) (taylor -inf x) (#s(alt (neg.f64 (*.f64 x x)) (patch (neg.f64 (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (pow x 2)) (taylor -inf x) (#s(alt (neg.f64 (*.f64 x x)) (patch (neg.f64 (*.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 (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
81 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | eps | @ | 0 | (* x (* 2 eps)) |
| 1.0ms | eps | @ | 0 | (* eps (+ (* x 2) eps)) |
| 0.0ms | x | @ | inf | (* x (* 2 eps)) |
| 0.0ms | eps | @ | -inf | (+ (* (+ x eps) x) (+ (* eps (+ x eps)) (neg (* x x)))) |
| 0.0ms | x | @ | 0 | (* x (* 2 eps)) |
| 1× | egg-herbie |
| 18 304× | lower-fma.f64 |
| 18 304× | lower-fma.f32 |
| 3 066× | lower-*.f64 |
| 3 066× | lower-*.f32 |
| 2 382× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 122 | 1961 |
| 1 | 388 | 1731 |
| 2 | 1061 | 1731 |
| 3 | 3414 | 1707 |
| 0 | 8524 | 1540 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(pow eps 2) |
(+ (* 2 (* eps x)) (pow eps 2)) |
(+ (* 2 (* eps x)) (pow eps 2)) |
(+ (* 2 (* eps x)) (pow eps 2)) |
(* 2 (* eps x)) |
(* x (+ (* 2 eps) (/ (pow eps 2) x))) |
(* x (+ (* 2 eps) (/ (pow eps 2) x))) |
(* x (+ (* 2 eps) (/ (pow eps 2) x))) |
(* 2 (* eps x)) |
(* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x))))) |
(* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x))))) |
(* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x))))) |
(* 2 (* eps x)) |
(* eps (+ eps (* 2 x))) |
(* eps (+ eps (* 2 x))) |
(* eps (+ eps (* 2 x))) |
(pow eps 2) |
(* (pow eps 2) (+ 1 (* 2 (/ x eps)))) |
(* (pow eps 2) (+ 1 (* 2 (/ x eps)))) |
(* (pow eps 2) (+ 1 (* 2 (/ x eps)))) |
(pow eps 2) |
(* (pow eps 2) (+ 1 (* 2 (/ x eps)))) |
(* (pow eps 2) (+ 1 (* 2 (/ x eps)))) |
(* (pow eps 2) (+ 1 (* 2 (/ x eps)))) |
(* 2 (* eps x)) |
(* eps (+ eps (* 2 x))) |
(* eps (+ eps (* 2 x))) |
(* eps (+ eps (* 2 x))) |
(pow eps 2) |
(* (pow eps 2) (+ 1 (* 2 (/ x eps)))) |
(* (pow eps 2) (+ 1 (* 2 (/ x eps)))) |
(* (pow eps 2) (+ 1 (* 2 (/ x eps)))) |
(pow eps 2) |
(* (pow eps 2) (+ 1 (* 2 (/ x eps)))) |
(* (pow eps 2) (+ 1 (* 2 (/ x eps)))) |
(* (pow eps 2) (+ 1 (* 2 (/ x eps)))) |
(pow eps 2) |
(+ (* 2 (* eps x)) (pow eps 2)) |
(+ (* 2 (* eps x)) (pow eps 2)) |
(+ (* 2 (* eps x)) (pow eps 2)) |
(* 2 (* eps x)) |
(* x (+ (* 2 eps) (/ (pow eps 2) x))) |
(* x (+ (* 2 eps) (/ (pow eps 2) x))) |
(* x (+ (* 2 eps) (/ (pow eps 2) x))) |
(* 2 (* eps x)) |
(* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x))))) |
(* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x))))) |
(* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x))))) |
eps |
(+ eps (* 2 x)) |
(+ eps (* 2 x)) |
(+ eps (* 2 x)) |
(* 2 x) |
(* x (+ 2 (/ eps x))) |
(* x (+ 2 (/ eps x))) |
(* x (+ 2 (/ eps x))) |
(* 2 x) |
(* -1 (* x (- (* -1 (/ eps x)) 2))) |
(* -1 (* x (- (* -1 (/ eps x)) 2))) |
(* -1 (* x (- (* -1 (/ eps x)) 2))) |
(* 2 x) |
(+ eps (* 2 x)) |
(+ eps (* 2 x)) |
(+ eps (* 2 x)) |
eps |
(* eps (+ 1 (* 2 (/ x eps)))) |
(* eps (+ 1 (* 2 (/ x eps)))) |
(* eps (+ 1 (* 2 (/ x eps)))) |
eps |
(* -1 (* eps (- (* -2 (/ x eps)) 1))) |
(* -1 (* eps (- (* -2 (/ x eps)) 1))) |
(* -1 (* eps (- (* -2 (/ x eps)) 1))) |
(pow eps 2) |
(+ (* 2 (* eps x)) (pow eps 2)) |
(+ (* 2 (* eps x)) (pow eps 2)) |
(+ (* 2 (* eps x)) (pow eps 2)) |
(* 2 (* eps x)) |
(* x (+ (* 2 eps) (/ (pow eps 2) x))) |
(* x (+ (* 2 eps) (/ (pow eps 2) x))) |
(* x (+ (* 2 eps) (/ (pow eps 2) x))) |
(* 2 (* eps x)) |
(* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x))))) |
(* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x))))) |
(* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x))))) |
(* 2 (* eps x)) |
(* eps (+ eps (* 2 x))) |
(* eps (+ eps (* 2 x))) |
(* eps (+ eps (* 2 x))) |
(pow eps 2) |
(* (pow eps 2) (+ 1 (* 2 (/ x eps)))) |
(* (pow eps 2) (+ 1 (* 2 (/ x eps)))) |
(* (pow eps 2) (+ 1 (* 2 (/ x eps)))) |
(pow eps 2) |
(* (pow eps 2) (+ 1 (* 2 (/ x eps)))) |
(* (pow eps 2) (+ 1 (* 2 (/ x eps)))) |
(* (pow eps 2) (+ 1 (* 2 (/ x eps)))) |
(pow eps 2) |
(pow eps 2) |
(pow eps 2) |
(pow eps 2) |
(pow eps 2) |
(pow eps 2) |
(pow eps 2) |
(pow eps 2) |
(pow eps 2) |
(pow eps 2) |
(pow eps 2) |
(pow eps 2) |
(* 2 eps) |
(* 2 eps) |
(* 2 eps) |
(* 2 eps) |
(* 2 eps) |
(* 2 eps) |
(* 2 eps) |
(* 2 eps) |
(* 2 eps) |
(* 2 eps) |
(* 2 eps) |
(* 2 eps) |
(pow eps 2) |
(+ (* 2 (* eps x)) (pow eps 2)) |
(+ (* 2 (* eps x)) (pow eps 2)) |
(+ (* 2 (* eps x)) (pow eps 2)) |
(* 2 (* eps x)) |
(* x (+ (* 2 eps) (/ (pow eps 2) x))) |
(* x (+ (* 2 eps) (/ (pow eps 2) x))) |
(* x (+ (* 2 eps) (/ (pow eps 2) x))) |
(* 2 (* eps x)) |
(* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x))))) |
(* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x))))) |
(* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x))))) |
(* 2 (* eps x)) |
(* eps (+ eps (* 2 x))) |
(* eps (+ eps (* 2 x))) |
(* eps (+ eps (* 2 x))) |
(pow eps 2) |
(* (pow eps 2) (+ 1 (* 2 (/ x eps)))) |
(* (pow eps 2) (+ 1 (* 2 (/ x eps)))) |
(* (pow eps 2) (+ 1 (* 2 (/ x eps)))) |
(pow eps 2) |
(* (pow eps 2) (+ 1 (* 2 (/ x eps)))) |
(* (pow eps 2) (+ 1 (* 2 (/ x eps)))) |
(* (pow eps 2) (+ 1 (* 2 (/ x eps)))) |
(* 2 (* eps x)) |
(* 2 (* eps x)) |
(* 2 (* eps x)) |
(* 2 (* eps x)) |
(* 2 (* eps x)) |
(* 2 (* eps x)) |
(* 2 (* eps x)) |
(* 2 (* eps x)) |
(* 2 (* eps x)) |
(* 2 (* eps x)) |
(* 2 (* eps x)) |
(* 2 (* eps x)) |
(* 2 (* eps x)) |
(* 2 (* eps x)) |
(* 2 (* eps x)) |
(* 2 (* eps x)) |
(* 2 (* eps x)) |
(* 2 (* eps x)) |
(* 2 (* eps x)) |
(* 2 (* eps x)) |
(* 2 (* eps x)) |
(* 2 (* eps x)) |
(* 2 (* eps x)) |
(* 2 (* eps x)) |
(pow eps 2) |
(+ (* 2 (* eps x)) (pow eps 2)) |
(+ (* 2 (* eps x)) (pow eps 2)) |
(+ (* 2 (* eps x)) (pow eps 2)) |
(* 2 (* eps x)) |
(* x (+ (* 2 eps) (/ (pow eps 2) x))) |
(* x (+ (* 2 eps) (/ (pow eps 2) x))) |
(* x (+ (* 2 eps) (/ (pow eps 2) x))) |
(* 2 (* eps x)) |
(* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x))))) |
(* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x))))) |
(* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x))))) |
(+ (* -1 (pow x 2)) (pow x 2)) |
(+ (* -1 (pow x 2)) (+ (* 2 (* eps x)) (pow x 2))) |
(+ (* -1 (pow x 2)) (+ (* eps (+ eps (* 2 x))) (pow x 2))) |
(+ (* -1 (pow x 2)) (+ (* eps (+ eps (* 2 x))) (pow x 2))) |
(pow eps 2) |
(* (pow eps 2) (+ 1 (* 2 (/ x eps)))) |
(* (pow eps 2) (+ 1 (+ (* -1 (/ (pow x 2) (pow eps 2))) (+ (* 2 (/ x eps)) (/ (pow x 2) (pow eps 2)))))) |
(* (pow eps 2) (+ 1 (+ (* -1 (/ (pow x 2) (pow eps 2))) (+ (* 2 (/ x eps)) (/ (pow x 2) (pow eps 2)))))) |
(pow eps 2) |
(* (pow eps 2) (+ 1 (* 2 (/ x eps)))) |
(* (pow eps 2) (+ 1 (* -1 (/ (+ (* -2 x) (* -1 (/ (+ (* -1 (pow x 2)) (pow x 2)) eps))) eps)))) |
(* (pow eps 2) (+ 1 (* -1 (/ (+ (* -2 x) (* -1 (/ (+ (* -1 (pow x 2)) (pow x 2)) eps))) eps)))) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(pow eps 2) |
(+ (* 2 (* eps x)) (pow eps 2)) |
(+ (* x (+ x (* 2 eps))) (pow eps 2)) |
(+ (* x (+ x (* 2 eps))) (pow eps 2)) |
(pow x 2) |
(* (pow x 2) (+ 1 (* 2 (/ eps x)))) |
(* (pow x 2) (+ 1 (+ (* 2 (/ eps x)) (/ (pow eps 2) (pow x 2))))) |
(* (pow x 2) (+ 1 (+ (* 2 (/ eps x)) (/ (pow eps 2) (pow x 2))))) |
(pow x 2) |
(* (pow x 2) (+ 1 (* 2 (/ eps x)))) |
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -2 eps) (* -1 (/ (pow eps 2) x))) x)))) |
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -2 eps) (* -1 (/ (pow eps 2) x))) x)))) |
(pow x 2) |
(+ (* 2 (* eps x)) (pow x 2)) |
(+ (* eps (+ eps (* 2 x))) (pow x 2)) |
(+ (* eps (+ eps (* 2 x))) (pow x 2)) |
(pow eps 2) |
(* (pow eps 2) (+ 1 (* 2 (/ x eps)))) |
(* (pow eps 2) (+ 1 (+ (* 2 (/ x eps)) (/ (pow x 2) (pow eps 2))))) |
(* (pow eps 2) (+ 1 (+ (* 2 (/ x eps)) (/ (pow x 2) (pow eps 2))))) |
(pow eps 2) |
(* (pow eps 2) (+ 1 (* 2 (/ x eps)))) |
(* (pow eps 2) (+ 1 (* -1 (/ (+ (* -2 x) (* -1 (/ (pow x 2) eps))) eps)))) |
(* (pow eps 2) (+ 1 (* -1 (/ (+ (* -2 x) (* -1 (/ (pow x 2) eps))) eps)))) |
eps |
(+ eps x) |
(+ eps x) |
(+ eps x) |
x |
(* x (+ 1 (/ eps x))) |
(* x (+ 1 (/ eps x))) |
(* x (+ 1 (/ eps x))) |
x |
(* -1 (* x (- (* -1 (/ eps x)) 1))) |
(* -1 (* x (- (* -1 (/ eps x)) 1))) |
(* -1 (* x (- (* -1 (/ eps x)) 1))) |
x |
(+ eps x) |
(+ eps x) |
(+ eps x) |
eps |
(* eps (+ 1 (/ x eps))) |
(* eps (+ 1 (/ x eps))) |
(* eps (+ 1 (/ x eps))) |
eps |
(* -1 (* eps (- (* -1 (/ x eps)) 1))) |
(* -1 (* eps (- (* -1 (/ x eps)) 1))) |
(* -1 (* eps (- (* -1 (/ x eps)) 1))) |
(pow eps 2) |
(+ (* 2 (* eps x)) (pow eps 2)) |
(+ (* 2 (* eps x)) (pow eps 2)) |
(+ (* 2 (* eps x)) (pow eps 2)) |
(* 2 (* eps x)) |
(* x (+ (* 2 eps) (/ (pow eps 2) x))) |
(* x (+ (* 2 eps) (/ (pow eps 2) x))) |
(* x (+ (* 2 eps) (/ (pow eps 2) x))) |
(* 2 (* eps x)) |
(* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x))))) |
(* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x))))) |
(* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x))))) |
(* 2 (* eps x)) |
(* eps (+ eps (* 2 x))) |
(* eps (+ eps (* 2 x))) |
(* eps (+ eps (* 2 x))) |
(pow eps 2) |
(* (pow eps 2) (+ 1 (* 2 (/ x eps)))) |
(* (pow eps 2) (+ 1 (* 2 (/ x eps)))) |
(* (pow eps 2) (+ 1 (* 2 (/ x eps)))) |
(pow eps 2) |
(* (pow eps 2) (+ 1 (* 2 (/ x eps)))) |
(* (pow eps 2) (+ 1 (* 2 (/ x eps)))) |
(* (pow eps 2) (+ 1 (* 2 (/ x eps)))) |
(* -1 (pow x 2)) |
(- (* eps x) (pow x 2)) |
(- (* eps (+ eps x)) (pow x 2)) |
(- (* eps (+ eps x)) (pow x 2)) |
(pow eps 2) |
(* (pow eps 2) (+ 1 (/ x eps))) |
(* (pow eps 2) (+ 1 (+ (* -1 (/ (pow x 2) (pow eps 2))) (/ x eps)))) |
(* (pow eps 2) (+ 1 (+ (* -1 (/ (pow x 2) (pow eps 2))) (/ x eps)))) |
(pow eps 2) |
(* (pow eps 2) (+ 1 (/ x eps))) |
(* (pow eps 2) (+ 1 (* -1 (/ (+ (* -1 x) (/ (pow x 2) eps)) eps)))) |
(* (pow eps 2) (+ 1 (* -1 (/ (+ (* -1 x) (/ (pow x 2) eps)) eps)))) |
(pow eps 2) |
(+ (* eps x) (pow eps 2)) |
(+ (* x (+ eps (* -1 x))) (pow eps 2)) |
(+ (* x (+ eps (* -1 x))) (pow eps 2)) |
(* -1 (pow x 2)) |
(* (pow x 2) (- (/ eps x) 1)) |
(* (pow x 2) (- (+ (/ eps x) (/ (pow eps 2) (pow x 2))) 1)) |
(* (pow x 2) (- (+ (/ eps x) (/ (pow eps 2) (pow x 2))) 1)) |
(* -1 (pow x 2)) |
(* (pow x 2) (- (/ eps x) 1)) |
(* (pow x 2) (- (* -1 (/ (+ (* -1 eps) (* -1 (/ (pow eps 2) x))) x)) 1)) |
(* (pow x 2) (- (* -1 (/ (+ (* -1 eps) (* -1 (/ (pow eps 2) x))) x)) 1)) |
(* -1 (pow x 2)) |
(* -1 (pow x 2)) |
(* -1 (pow x 2)) |
(* -1 (pow x 2)) |
(* -1 (pow x 2)) |
(* -1 (pow x 2)) |
(* -1 (pow x 2)) |
(* -1 (pow x 2)) |
(* -1 (pow x 2)) |
(* -1 (pow x 2)) |
(* -1 (pow x 2)) |
(* -1 (pow x 2)) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
| Outputs |
|---|
(pow eps 2) |
(*.f64 eps eps) |
(+ (* 2 (* eps x)) (pow eps 2)) |
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps)) |
(+ (* 2 (* eps x)) (pow eps 2)) |
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps)) |
(+ (* 2 (* eps x)) (pow eps 2)) |
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps)) |
(* 2 (* eps x)) |
(*.f64 eps (*.f64 #s(literal 2 binary64) x)) |
(* x (+ (* 2 eps) (/ (pow eps 2) x))) |
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps)) |
(* x (+ (* 2 eps) (/ (pow eps 2) x))) |
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps)) |
(* x (+ (* 2 eps) (/ (pow eps 2) x))) |
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps)) |
(* 2 (* eps x)) |
(*.f64 eps (*.f64 #s(literal 2 binary64) x)) |
(* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x))))) |
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps)) |
(* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x))))) |
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps)) |
(* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x))))) |
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps)) |
(* 2 (* eps x)) |
(*.f64 eps (*.f64 #s(literal 2 binary64) x)) |
(* eps (+ eps (* 2 x))) |
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps)) |
(* eps (+ eps (* 2 x))) |
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps)) |
(* eps (+ eps (* 2 x))) |
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps)) |
(pow eps 2) |
(*.f64 eps eps) |
(* (pow eps 2) (+ 1 (* 2 (/ x eps)))) |
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps)) |
(* (pow eps 2) (+ 1 (* 2 (/ x eps)))) |
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps)) |
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(+.f64 eps x) |
(* eps (+ 1 (/ x eps))) |
(+.f64 eps x) |
eps |
(* -1 (* eps (- (* -1 (/ x eps)) 1))) |
(+.f64 eps x) |
(* -1 (* eps (- (* -1 (/ x eps)) 1))) |
(+.f64 eps x) |
(* -1 (* eps (- (* -1 (/ x eps)) 1))) |
(+.f64 eps x) |
(pow eps 2) |
(*.f64 eps eps) |
(+ (* 2 (* eps x)) (pow eps 2)) |
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps)) |
(+ (* 2 (* eps x)) (pow eps 2)) |
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps)) |
(+ (* 2 (* eps x)) (pow eps 2)) |
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps)) |
(* 2 (* eps x)) |
(*.f64 eps (*.f64 #s(literal 2 binary64) x)) |
(* x (+ (* 2 eps) (/ (pow eps 2) x))) |
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps)) |
(* x (+ (* 2 eps) (/ (pow eps 2) x))) |
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps)) |
(* x (+ (* 2 eps) (/ (pow eps 2) x))) |
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps)) |
(* 2 (* eps x)) |
(*.f64 eps (*.f64 #s(literal 2 binary64) x)) |
(* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x))))) |
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps)) |
(* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x))))) |
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps)) |
(* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x))))) |
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps)) |
(* 2 (* eps x)) |
(*.f64 eps (*.f64 #s(literal 2 binary64) x)) |
(* eps (+ eps (* 2 x))) |
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps)) |
(* eps (+ eps (* 2 x))) |
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps)) |
(* eps (+ eps (* 2 x))) |
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps)) |
(pow eps 2) |
(*.f64 eps eps) |
(* (pow eps 2) (+ 1 (* 2 (/ x eps)))) |
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps)) |
(* (pow eps 2) (+ 1 (* 2 (/ x eps)))) |
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps)) |
(* (pow eps 2) (+ 1 (* 2 (/ x eps)))) |
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps)) |
(pow eps 2) |
(*.f64 eps eps) |
(* (pow eps 2) (+ 1 (* 2 (/ x eps)))) |
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps)) |
(* (pow eps 2) (+ 1 (* 2 (/ x eps)))) |
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps)) |
(* (pow eps 2) (+ 1 (* 2 (/ x eps)))) |
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps)) |
(* -1 (pow x 2)) |
(*.f64 x (neg.f64 x)) |
(- (* eps x) (pow x 2)) |
(*.f64 x (-.f64 eps x)) |
(- (* eps (+ eps x)) (pow x 2)) |
(fma.f64 x (-.f64 eps x) (*.f64 eps eps)) |
(- (* eps (+ eps x)) (pow x 2)) |
(fma.f64 x (-.f64 eps x) (*.f64 eps eps)) |
(pow eps 2) |
(*.f64 eps eps) |
(* (pow eps 2) (+ 1 (/ x eps))) |
(*.f64 eps (+.f64 eps x)) |
(* (pow eps 2) (+ 1 (+ (* -1 (/ (pow x 2) (pow eps 2))) (/ x eps)))) |
(fma.f64 x (-.f64 eps x) (*.f64 eps eps)) |
(* (pow eps 2) (+ 1 (+ (* -1 (/ (pow x 2) (pow eps 2))) (/ x eps)))) |
(fma.f64 x (-.f64 eps x) (*.f64 eps eps)) |
(pow eps 2) |
(*.f64 eps eps) |
(* (pow eps 2) (+ 1 (/ x eps))) |
(*.f64 eps (+.f64 eps x)) |
(* (pow eps 2) (+ 1 (* -1 (/ (+ (* -1 x) (/ (pow x 2) eps)) eps)))) |
(fma.f64 x (-.f64 eps x) (*.f64 eps eps)) |
(* (pow eps 2) (+ 1 (* -1 (/ (+ (* -1 x) (/ (pow x 2) eps)) eps)))) |
(fma.f64 x (-.f64 eps x) (*.f64 eps eps)) |
(pow eps 2) |
(*.f64 eps eps) |
(+ (* eps x) (pow eps 2)) |
(*.f64 eps (+.f64 eps x)) |
(+ (* x (+ eps (* -1 x))) (pow eps 2)) |
(fma.f64 x (-.f64 eps x) (*.f64 eps eps)) |
(+ (* x (+ eps (* -1 x))) (pow eps 2)) |
(fma.f64 x (-.f64 eps x) (*.f64 eps eps)) |
(* -1 (pow x 2)) |
(*.f64 x (neg.f64 x)) |
(* (pow x 2) (- (/ eps x) 1)) |
(*.f64 x (-.f64 eps x)) |
(* (pow x 2) (- (+ (/ eps x) (/ (pow eps 2) (pow x 2))) 1)) |
(fma.f64 x (-.f64 eps x) (*.f64 eps eps)) |
(* (pow x 2) (- (+ (/ eps x) (/ (pow eps 2) (pow x 2))) 1)) |
(fma.f64 x (-.f64 eps x) (*.f64 eps eps)) |
(* -1 (pow x 2)) |
(*.f64 x (neg.f64 x)) |
(* (pow x 2) (- (/ eps x) 1)) |
(*.f64 x (-.f64 eps x)) |
(* (pow x 2) (- (* -1 (/ (+ (* -1 eps) (* -1 (/ (pow eps 2) x))) x)) 1)) |
(fma.f64 x (-.f64 eps x) (*.f64 eps eps)) |
(* (pow x 2) (- (* -1 (/ (+ (* -1 eps) (* -1 (/ (pow eps 2) x))) x)) 1)) |
(fma.f64 x (-.f64 eps x) (*.f64 eps eps)) |
(* -1 (pow x 2)) |
(*.f64 x (neg.f64 x)) |
(* -1 (pow x 2)) |
(*.f64 x (neg.f64 x)) |
(* -1 (pow x 2)) |
(*.f64 x (neg.f64 x)) |
(* -1 (pow x 2)) |
(*.f64 x (neg.f64 x)) |
(* -1 (pow x 2)) |
(*.f64 x (neg.f64 x)) |
(* -1 (pow x 2)) |
(*.f64 x (neg.f64 x)) |
(* -1 (pow x 2)) |
(*.f64 x (neg.f64 x)) |
(* -1 (pow x 2)) |
(*.f64 x (neg.f64 x)) |
(* -1 (pow x 2)) |
(*.f64 x (neg.f64 x)) |
(* -1 (pow x 2)) |
(*.f64 x (neg.f64 x)) |
(* -1 (pow x 2)) |
(*.f64 x (neg.f64 x)) |
(* -1 (pow x 2)) |
(*.f64 x (neg.f64 x)) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
| 11 822× | lower-fma.f32 |
| 11 814× | lower-fma.f64 |
| 3 882× | lower-*.f32 |
| 3 870× | lower-*.f64 |
| 3 854× | lower-/.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 23 | 118 |
| 0 | 40 | 109 |
| 1 | 157 | 109 |
| 2 | 1161 | 109 |
| 0 | 8669 | 109 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))) |
(*.f64 eps (fma.f64 x #s(literal 2 binary64) eps)) |
(fma.f64 x #s(literal 2 binary64) eps) |
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps eps)) |
(*.f64 eps eps) |
(*.f64 #s(literal 2 binary64) eps) |
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 x (*.f64 #s(literal 2 binary64) eps))) |
(*.f64 x (*.f64 #s(literal 2 binary64) eps)) |
(fma.f64 (neg.f64 x) x (*.f64 (+.f64 x eps) (+.f64 x eps))) |
(neg.f64 x) |
(*.f64 (+.f64 x eps) (+.f64 x eps)) |
(+.f64 x eps) |
(fma.f64 (+.f64 x eps) x (fma.f64 eps (+.f64 x eps) (neg.f64 (*.f64 x x)))) |
(fma.f64 eps (+.f64 x eps) (neg.f64 (*.f64 x x))) |
(neg.f64 (*.f64 x x)) |
(*.f64 x x) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))) |
(+.f64 (*.f64 eps eps) (*.f64 eps (*.f64 x #s(literal 2 binary64)))) |
(+.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64))) (*.f64 eps eps)) |
(-.f64 (/.f64 (*.f64 (*.f64 eps eps) (*.f64 (*.f64 x x) #s(literal 4 binary64))) (-.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64))) (*.f64 eps eps))) (/.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (-.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64))) (*.f64 eps eps)))) |
(fma.f64 x (*.f64 eps #s(literal 2 binary64)) (*.f64 eps eps)) |
(fma.f64 eps eps (*.f64 eps (*.f64 x #s(literal 2 binary64)))) |
(fma.f64 eps (*.f64 x #s(literal 2 binary64)) (*.f64 eps eps)) |
(fma.f64 #s(literal 2 binary64) (*.f64 x eps) (*.f64 eps eps)) |
(fma.f64 (*.f64 eps #s(literal 2 binary64)) x (*.f64 eps eps)) |
(fma.f64 (*.f64 x #s(literal 2 binary64)) eps (*.f64 eps eps)) |
(fma.f64 (*.f64 x eps) #s(literal 2 binary64) (*.f64 eps eps)) |
(fma.f64 (exp.f64 (log.f64 eps)) (exp.f64 (log.f64 eps)) (*.f64 eps (*.f64 x #s(literal 2 binary64)))) |
(/.f64 eps (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) eps))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 eps eps) (*.f64 (*.f64 x x) #s(literal 4 binary64)) (-.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (*.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64))) (*.f64 eps eps)))) (fma.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps eps)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64))) (*.f64 eps eps)) (*.f64 (*.f64 eps (fma.f64 x #s(literal 2 binary64) eps)) (-.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64))) (*.f64 eps eps))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 eps (-.f64 eps (*.f64 x #s(literal 2 binary64))) (*.f64 (*.f64 x x) #s(literal 4 binary64))) (*.f64 eps (fma.f64 eps (*.f64 eps eps) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 x #s(literal 2 binary64)) eps) (*.f64 eps (-.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) (*.f64 eps eps))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 eps (-.f64 eps (*.f64 x #s(literal 2 binary64))) (*.f64 (*.f64 x x) #s(literal 4 binary64))) (*.f64 (fma.f64 eps (*.f64 eps eps) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64))) eps))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 x #s(literal 2 binary64)) eps) (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) (*.f64 eps eps)) eps))) |
(/.f64 (fma.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps eps)))) (fma.f64 (*.f64 eps eps) (*.f64 (*.f64 x x) #s(literal 4 binary64)) (-.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (*.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64))) (*.f64 eps eps))))) |
(/.f64 (*.f64 (*.f64 eps (fma.f64 x #s(literal 2 binary64) eps)) (-.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64))) (*.f64 eps eps))) (-.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64))) (*.f64 eps eps))) |
(/.f64 (*.f64 (*.f64 eps (fma.f64 x #s(literal 2 binary64) eps)) (*.f64 eps (-.f64 eps (*.f64 x #s(literal 2 binary64))))) (*.f64 eps (-.f64 eps (*.f64 x #s(literal 2 binary64))))) |
(/.f64 (*.f64 eps (fma.f64 eps (*.f64 eps eps) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64)))) (fma.f64 eps (-.f64 eps (*.f64 x #s(literal 2 binary64))) (*.f64 (*.f64 x x) #s(literal 4 binary64)))) |
(/.f64 (*.f64 eps (-.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) (*.f64 eps eps))) (-.f64 (*.f64 x #s(literal 2 binary64)) eps)) |
(/.f64 (*.f64 (fma.f64 eps (*.f64 eps eps) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64))) eps) (fma.f64 eps (-.f64 eps (*.f64 x #s(literal 2 binary64))) (*.f64 (*.f64 x x) #s(literal 4 binary64)))) |
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) (*.f64 eps eps)) eps) (-.f64 (*.f64 x #s(literal 2 binary64)) eps)) |
(/.f64 (neg.f64 (fma.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps eps))))) (neg.f64 (fma.f64 (*.f64 eps eps) (*.f64 (*.f64 x x) #s(literal 4 binary64)) (-.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (*.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64))) (*.f64 eps eps)))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 eps (fma.f64 x #s(literal 2 binary64) eps)) (-.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64))) (*.f64 eps eps)))) (neg.f64 (-.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64))) (*.f64 eps eps)))) |
(/.f64 (neg.f64 (*.f64 eps (fma.f64 eps (*.f64 eps eps) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64))))) (neg.f64 (fma.f64 eps (-.f64 eps (*.f64 x #s(literal 2 binary64))) (*.f64 (*.f64 x x) #s(literal 4 binary64))))) |
(/.f64 (neg.f64 (*.f64 eps (-.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) (*.f64 eps eps)))) (neg.f64 (-.f64 (*.f64 x #s(literal 2 binary64)) eps))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 eps (*.f64 eps eps) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64))) eps)) (neg.f64 (fma.f64 eps (-.f64 eps (*.f64 x #s(literal 2 binary64))) (*.f64 (*.f64 x x) #s(literal 4 binary64))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) (*.f64 eps eps)) eps)) (neg.f64 (-.f64 (*.f64 x #s(literal 2 binary64)) eps))) |
(/.f64 (fma.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64)))) (fma.f64 (*.f64 eps eps) (*.f64 eps eps) (-.f64 (*.f64 (*.f64 eps eps) (*.f64 (*.f64 x x) #s(literal 4 binary64))) (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 x #s(literal 2 binary64))))))) |
(*.f64 eps (fma.f64 x #s(literal 2 binary64) eps)) |
(*.f64 (fma.f64 x #s(literal 2 binary64) eps) eps) |
(*.f64 (fma.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps eps)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 eps eps) (*.f64 (*.f64 x x) #s(literal 4 binary64)) (-.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (*.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64))) (*.f64 eps eps)))))) |
(*.f64 (*.f64 (*.f64 eps (fma.f64 x #s(literal 2 binary64) eps)) (-.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64))) (*.f64 eps eps))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64))) (*.f64 eps eps)))) |
(*.f64 (*.f64 eps (fma.f64 eps (*.f64 eps eps) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 eps (-.f64 eps (*.f64 x #s(literal 2 binary64))) (*.f64 (*.f64 x x) #s(literal 4 binary64))))) |
(*.f64 (*.f64 eps (-.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) (*.f64 eps eps))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 2 binary64)) eps))) |
(*.f64 (*.f64 (fma.f64 eps (*.f64 eps eps) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64))) eps) (/.f64 #s(literal 1 binary64) (fma.f64 eps (-.f64 eps (*.f64 x #s(literal 2 binary64))) (*.f64 (*.f64 x x) #s(literal 4 binary64))))) |
(*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) (*.f64 eps eps)) eps) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 2 binary64)) eps))) |
(+.f64 eps (*.f64 x #s(literal 2 binary64))) |
(+.f64 (*.f64 x #s(literal 2 binary64)) eps) |
(+.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) (-.f64 (*.f64 x #s(literal 2 binary64)) eps)) (neg.f64 (/.f64 (*.f64 eps eps) (-.f64 (*.f64 x #s(literal 2 binary64)) eps)))) |
(-.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) (-.f64 (*.f64 x #s(literal 2 binary64)) eps)) (/.f64 (*.f64 eps eps) (-.f64 (*.f64 x #s(literal 2 binary64)) eps))) |
(-.f64 (/.f64 (*.f64 eps eps) (-.f64 eps (*.f64 x #s(literal 2 binary64)))) (/.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) (-.f64 eps (*.f64 x #s(literal 2 binary64))))) |
(fma.f64 x #s(literal 2 binary64) eps) |
(fma.f64 #s(literal 2 binary64) x eps) |
(fma.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 2 binary64)) eps)) (neg.f64 (/.f64 (*.f64 eps eps) (-.f64 (*.f64 x #s(literal 2 binary64)) eps)))) |
(fma.f64 (pow.f64 eps #s(literal 1/2 binary64)) (pow.f64 eps #s(literal 1/2 binary64)) (*.f64 x #s(literal 2 binary64))) |
(/.f64 (fma.f64 eps (*.f64 eps eps) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64))) (fma.f64 eps (-.f64 eps (*.f64 x #s(literal 2 binary64))) (*.f64 (*.f64 x x) #s(literal 4 binary64)))) |
(/.f64 (fma.f64 eps (*.f64 eps eps) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64))) (fma.f64 eps eps (fma.f64 (*.f64 x x) #s(literal 4 binary64) (*.f64 #s(literal -2 binary64) (*.f64 x eps))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) eps)))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) (*.f64 eps eps)) (-.f64 (*.f64 x #s(literal 2 binary64)) eps)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) eps))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 eps eps (fma.f64 (*.f64 x x) #s(literal 4 binary64) (*.f64 #s(literal -2 binary64) (*.f64 x eps)))) (fma.f64 eps (*.f64 eps eps) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) eps)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 eps (*.f64 x #s(literal 2 binary64))) (fma.f64 eps eps (*.f64 #s(literal -4 binary64) (*.f64 x x))))) |
(/.f64 (neg.f64 (fma.f64 eps (*.f64 eps eps) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64)))) (neg.f64 (fma.f64 eps (-.f64 eps (*.f64 x #s(literal 2 binary64))) (*.f64 (*.f64 x x) #s(literal 4 binary64))))) |
(/.f64 (neg.f64 (fma.f64 eps (*.f64 eps eps) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64)))) (neg.f64 (fma.f64 eps eps (fma.f64 (*.f64 x x) #s(literal 4 binary64) (*.f64 #s(literal -2 binary64) (*.f64 x eps)))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) (*.f64 eps eps))) (neg.f64 (-.f64 (*.f64 x #s(literal 2 binary64)) eps))) |
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(/.f64 (fma.f64 (*.f64 eps (*.f64 (+.f64 x eps) (-.f64 x eps))) (*.f64 x x) (*.f64 (-.f64 x eps) (neg.f64 (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 (-.f64 x eps) (*.f64 x x))) |
(/.f64 (fma.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps))) eps) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 0 binary64)) (*.f64 (fma.f64 eps (-.f64 eps x) (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 (fma.f64 eps (-.f64 eps x) (*.f64 x x)) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 0 binary64)))) |
(/.f64 (fma.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps))) eps) (*.f64 x x) (*.f64 (fma.f64 eps (-.f64 eps x) (*.f64 x x)) (neg.f64 (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 (fma.f64 eps (-.f64 eps x) (*.f64 x x)) (*.f64 x x))) |
(/.f64 (fma.f64 (*.f64 (*.f64 (+.f64 x eps) (-.f64 x eps)) eps) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 0 binary64)) (*.f64 (-.f64 x eps) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 (-.f64 x eps) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 0 binary64)))) |
(/.f64 (fma.f64 (*.f64 (*.f64 (+.f64 x eps) (-.f64 x eps)) eps) (*.f64 x x) (*.f64 (-.f64 x eps) (neg.f64 (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 (-.f64 x eps) (*.f64 x x))) |
(/.f64 (-.f64 (*.f64 (*.f64 (+.f64 x eps) (*.f64 eps (*.f64 eps (+.f64 x eps)))) (fma.f64 eps (+.f64 x eps) (*.f64 x x))) (*.f64 (fma.f64 eps (+.f64 x eps) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (fma.f64 eps (+.f64 x eps) (*.f64 x x)) (fma.f64 eps (+.f64 x eps) (*.f64 x x)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 eps (+.f64 x eps)) (*.f64 (+.f64 x eps) (*.f64 eps (*.f64 eps (+.f64 x eps)))))))) (neg.f64 (neg.f64 (fma.f64 eps (*.f64 (+.f64 x eps) (*.f64 eps (+.f64 x eps))) (*.f64 (*.f64 x (neg.f64 x)) (-.f64 (*.f64 x (neg.f64 x)) (*.f64 eps (+.f64 x eps)))))))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (fma.f64 x (neg.f64 x) (*.f64 eps (+.f64 x eps))) (fma.f64 eps (+.f64 x eps) (*.f64 x x))))) (neg.f64 (neg.f64 (fma.f64 eps (+.f64 x eps) (*.f64 x x))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 x x (*.f64 eps (+.f64 x eps))) (-.f64 (*.f64 x x) (*.f64 eps (+.f64 x eps))))) (neg.f64 (-.f64 (*.f64 x (neg.f64 x)) (*.f64 eps (+.f64 x eps))))) |
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (*.f64 eps eps)) (pow.f64 (*.f64 (+.f64 x eps) (-.f64 eps x)) #s(literal 3 binary64))) (fma.f64 (*.f64 eps eps) (*.f64 x x) (-.f64 (*.f64 (*.f64 (+.f64 x eps) (-.f64 eps x)) (*.f64 (+.f64 x eps) (-.f64 eps x))) (*.f64 (*.f64 x eps) (*.f64 (+.f64 x eps) (-.f64 eps x)))))) |
(/.f64 (+.f64 (pow.f64 (fma.f64 x (neg.f64 x) (*.f64 x eps)) #s(literal 3 binary64)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps eps)))) (fma.f64 (fma.f64 x (neg.f64 x) (*.f64 x eps)) (fma.f64 x (neg.f64 x) (*.f64 x eps)) (-.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (*.f64 (fma.f64 x (neg.f64 x) (*.f64 x eps)) (*.f64 eps eps))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 (*.f64 x x) (*.f64 eps (+.f64 x eps))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (-.f64 (*.f64 x x) (*.f64 eps (+.f64 x eps))) (-.f64 (*.f64 x x) (*.f64 eps (+.f64 x eps))) (*.f64 #s(literal 0 binary64) (-.f64 (*.f64 x x) (*.f64 eps (+.f64 x eps))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (+.f64 x eps) (*.f64 eps (*.f64 eps (+.f64 x eps)))) (fma.f64 eps (+.f64 x eps) (*.f64 x x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 eps (+.f64 x eps) (*.f64 x x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (+.f64 x eps) (*.f64 eps (*.f64 eps (+.f64 x eps)))) (fma.f64 eps (+.f64 x eps) (*.f64 x x))) (/.f64 (*.f64 (+.f64 x eps) (*.f64 eps (*.f64 eps (+.f64 x eps)))) (fma.f64 eps (+.f64 x eps) (*.f64 x x))) (fma.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 eps (+.f64 x eps) (*.f64 x x))) (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 eps (+.f64 x eps) (*.f64 x x))) (*.f64 (/.f64 (*.f64 (+.f64 x eps) (*.f64 eps (*.f64 eps (+.f64 x eps)))) (fma.f64 eps (+.f64 x eps) (*.f64 x x))) (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 eps (+.f64 x eps) (*.f64 x x))))))) |
(/.f64 (-.f64 (*.f64 (*.f64 eps eps) (*.f64 x x)) (*.f64 (*.f64 (+.f64 x eps) (-.f64 eps x)) (*.f64 (+.f64 x eps) (-.f64 eps x)))) (-.f64 (*.f64 x eps) (*.f64 (+.f64 x eps) (-.f64 eps x)))) |
(/.f64 (-.f64 (*.f64 (fma.f64 x (neg.f64 x) (*.f64 x eps)) (fma.f64 x (neg.f64 x) (*.f64 x eps))) (*.f64 (*.f64 eps eps) (*.f64 eps eps))) (-.f64 (fma.f64 x (neg.f64 x) (*.f64 x eps)) (*.f64 eps eps))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (-.f64 (*.f64 x x) (*.f64 eps (+.f64 x eps))) (-.f64 (*.f64 x x) (*.f64 eps (+.f64 x eps))))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 x x) (*.f64 eps (+.f64 x eps))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (+.f64 x eps) (*.f64 eps (*.f64 eps (+.f64 x eps)))) (fma.f64 eps (+.f64 x eps) (*.f64 x x))) (/.f64 (*.f64 (+.f64 x eps) (*.f64 eps (*.f64 eps (+.f64 x eps)))) (fma.f64 eps (+.f64 x eps) (*.f64 x x)))) (*.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 eps (+.f64 x eps) (*.f64 x x))) (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 eps (+.f64 x eps) (*.f64 x x))))) (+.f64 (/.f64 (*.f64 (+.f64 x eps) (*.f64 eps (*.f64 eps (+.f64 x eps)))) (fma.f64 eps (+.f64 x eps) (*.f64 x x))) (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 eps (+.f64 x eps) (*.f64 x x))))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 x) (*.f64 eps (+.f64 x eps)))) #s(literal -1 binary64)) |
(*.f64 (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 eps (+.f64 x eps)) (*.f64 (+.f64 x eps) (*.f64 eps (*.f64 eps (+.f64 x eps)))))) (/.f64 #s(literal 1 binary64) (fma.f64 eps (*.f64 (+.f64 x eps) (*.f64 eps (+.f64 x eps))) (*.f64 (*.f64 x (neg.f64 x)) (-.f64 (*.f64 x (neg.f64 x)) (*.f64 eps (+.f64 x eps))))))) |
(*.f64 (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 eps (+.f64 x eps)) (*.f64 (+.f64 x eps) (*.f64 eps (*.f64 eps (+.f64 x eps)))))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 eps eps) (*.f64 (+.f64 x eps) (+.f64 x eps)) (*.f64 (*.f64 eps (+.f64 x eps)) (*.f64 x x)))))) |
(*.f64 (*.f64 (fma.f64 x (neg.f64 x) (*.f64 eps (+.f64 x eps))) (fma.f64 eps (+.f64 x eps) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 eps (+.f64 x eps) (*.f64 x x)))) |
(*.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 x) (*.f64 eps (+.f64 x eps)))) |
(*.f64 (neg.f64 (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 eps (+.f64 x eps)) (*.f64 (+.f64 x eps) (*.f64 eps (*.f64 eps (+.f64 x eps))))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 eps (*.f64 (+.f64 x eps) (*.f64 eps (+.f64 x eps))) (*.f64 (*.f64 x (neg.f64 x)) (-.f64 (*.f64 x (neg.f64 x)) (*.f64 eps (+.f64 x eps)))))))) |
(*.f64 (neg.f64 (*.f64 (fma.f64 x (neg.f64 x) (*.f64 eps (+.f64 x eps))) (fma.f64 eps (+.f64 x eps) (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 eps (+.f64 x eps) (*.f64 x x))))) |
(*.f64 (*.f64 (fma.f64 x x (*.f64 eps (+.f64 x eps))) (-.f64 (*.f64 x x) (*.f64 eps (+.f64 x eps)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (neg.f64 x)) (*.f64 eps (+.f64 x eps))))) |
(+.f64 #s(literal 0 binary64) (*.f64 x (neg.f64 x))) |
(-.f64 #s(literal 0 binary64) (*.f64 x x)) |
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 0 binary64))) (*.f64 x (neg.f64 x))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 x x)) (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x x))) |
(neg.f64 (*.f64 x x)) |
(/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (neg.f64 x))) |
(/.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 0 binary64))) |
(/.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (neg.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 0 binary64)))) |
(/.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 #s(literal 0 binary64) (*.f64 x (neg.f64 x)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 0 binary64)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (neg.f64 (*.f64 x (*.f64 x (*.f64 x x)))))) |
(/.f64 (neg.f64 (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x x)) |
(*.f64 x (neg.f64 x)) |
(*.f64 (neg.f64 x) x) |
(*.f64 (*.f64 x x) #s(literal -1 binary64)) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 0 binary64)))) |
(*.f64 #s(literal -1 binary64) (*.f64 x x)) |
(*.f64 (neg.f64 (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(+.f64 #s(literal 0 binary64) (*.f64 x x)) |
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x))) |
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1 binary64))) |
(-.f64 #s(literal 0 binary64) (*.f64 x (neg.f64 x))) |
(neg.f64 (*.f64 x (neg.f64 x))) |
(/.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 0 binary64)))) |
(/.f64 (neg.f64 (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x (neg.f64 x))) |
(pow.f64 x #s(literal 2 binary64)) |
(pow.f64 (neg.f64 x) #s(literal 2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 1 binary64)) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 x)) |
(*.f64 x x) |
(*.f64 (neg.f64 x) (neg.f64 x)) |
(*.f64 (*.f64 x x) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (*.f64 x (neg.f64 x))) |
(*.f64 #s(literal 1 binary64) (*.f64 x x)) |
Compiled 50 060 to 2 292 computations (95.4% saved)
5 alts after pruning (2 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 402 | 2 | 1 404 |
| Fresh | 0 | 0 | 0 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 404 | 5 | 1 409 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | #s(approx (- (pow (+ x eps) 2) (pow x 2)) (fma.f64 eps eps (*.f64 eps (*.f64 x #s(literal 2 binary64))))) |
| ✓ | 66.7% | #s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 x (*.f64 #s(literal 2 binary64) eps))) |
| ✓ | 100.0% | #s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))) |
| ✓ | 75.3% | #s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps eps)) |
| ▶ | 43.9% | #s(approx (+ (* (neg x) x) (* (+ x eps) (+ x eps))) #s(literal 0 binary64)) |
Compiled 38 to 22 computations (42.1% saved)
| 1× | egg-herbie |
Found 5 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 eps (*.f64 x #s(literal 2 binary64))) | |
| cost-diff | 0 | #s(approx (- (pow (+ x eps) 2) (pow x 2)) (fma.f64 eps eps (*.f64 eps (*.f64 x #s(literal 2 binary64))))) | |
| cost-diff | 128 | (*.f64 x #s(literal 2 binary64)) | |
| cost-diff | 192 | (fma.f64 eps eps (*.f64 eps (*.f64 x #s(literal 2 binary64)))) | |
| cost-diff | 0 | #s(approx (+ (* (neg x) x) (* (+ x eps) (+ x eps))) #s(literal 0 binary64)) |
| 18 700× | lower-fma.f32 |
| 18 698× | lower-fma.f64 |
| 2 844× | lower-*.f32 |
| 2 840× | lower-*.f64 |
| 2 520× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 17 | 52 |
| 0 | 21 | 49 |
| 1 | 45 | 49 |
| 2 | 87 | 49 |
| 3 | 160 | 49 |
| 4 | 428 | 43 |
| 5 | 1090 | 43 |
| 6 | 3236 | 43 |
| 7 | 5177 | 43 |
| 8 | 6685 | 43 |
| 9 | 7469 | 43 |
| 10 | 7809 | 43 |
| 0 | 8039 | 39 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ (* (neg x) x) (* (+ x eps) (+ x eps))) #s(literal 0 binary64)) |
#s(literal 0 binary64) |
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (fma.f64 eps eps (*.f64 eps (*.f64 x #s(literal 2 binary64))))) |
(fma.f64 eps eps (*.f64 eps (*.f64 x #s(literal 2 binary64)))) |
eps |
(*.f64 eps (*.f64 x #s(literal 2 binary64))) |
(*.f64 x #s(literal 2 binary64)) |
x |
#s(literal 2 binary64) |
| Outputs |
|---|
#s(approx (+ (* (neg x) x) (* (+ x eps) (+ x eps))) #s(literal 0 binary64)) |
#s(literal 0 binary64) |
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (fma.f64 eps eps (*.f64 eps (*.f64 x #s(literal 2 binary64))))) |
#s(approx (+ (* (neg x) x) (* (+ x eps) (+ x eps))) (*.f64 eps (+.f64 x (+.f64 x eps)))) |
(fma.f64 eps eps (*.f64 eps (*.f64 x #s(literal 2 binary64)))) |
(*.f64 eps (+.f64 x (+.f64 x eps))) |
eps |
(*.f64 eps (*.f64 x #s(literal 2 binary64))) |
(*.f64 x (+.f64 eps eps)) |
(*.f64 x #s(literal 2 binary64)) |
(+.f64 x x) |
x |
#s(literal 2 binary64) |
Found 5 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (fma.f64 eps eps (*.f64 eps (*.f64 x #s(literal 2 binary64)))) | |
| accuracy | 0 | (*.f64 x #s(literal 2 binary64)) | |
| accuracy | 0 | (*.f64 eps (*.f64 x #s(literal 2 binary64))) | |
| accuracy | 0 | #s(approx (- (pow (+ x eps) 2) (pow x 2)) (fma.f64 eps eps (*.f64 eps (*.f64 x #s(literal 2 binary64))))) | |
| accuracy | 35.92075204526309 | #s(approx (+ (* (neg x) x) (* (+ x eps) (+ x eps))) #s(literal 0 binary64)) |
| 17.0ms | 168× | 0 | valid |
| 16.0ms | 75× | 1 | valid |
| 3.0ms | 13× | 2 | valid |
Compiled 44 to 18 computations (59.1% saved)
ival-mult: 10.0ms (38% of total)ival-pow2: 6.0ms (22.8% of total)ival-add: 4.0ms (15.2% of total)adjust: 3.0ms (11.4% of total)ival-sub: 2.0ms (7.6% of total)ival-neg: 1.0ms (3.8% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt #s(approx (+ (* (neg x) x) (* (+ x eps) (+ x eps))) #s(literal 0 binary64)) (patch #s(approx (+ (* (neg x) x) (* (+ x eps) (+ x eps))) #s(literal 0 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 eps eps (*.f64 eps (*.f64 x #s(literal 2 binary64)))) (patch (fma.f64 eps eps (*.f64 eps (*.f64 x #s(literal 2 binary64)))) #<representation binary64>) () ()) |
#s(alt (*.f64 x #s(literal 2 binary64)) (patch (*.f64 x #s(literal 2 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (- (pow (+ x eps) 2) (pow x 2)) (fma.f64 eps eps (*.f64 eps (*.f64 x #s(literal 2 binary64))))) (patch #s(approx (- (pow (+ x eps) 2) (pow x 2)) (fma.f64 eps eps (*.f64 eps (*.f64 x #s(literal 2 binary64))))) #<representation binary64>) () ()) |
#s(alt (*.f64 eps (*.f64 x #s(literal 2 binary64))) (patch (*.f64 eps (*.f64 x #s(literal 2 binary64))) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (pow eps 2) (taylor 0 x) (#s(alt #s(approx (+ (* (neg x) x) (* (+ x eps) (+ x eps))) #s(literal 0 binary64)) (patch #s(approx (+ (* (neg x) x) (* (+ x eps) (+ x eps))) #s(literal 0 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (* eps x)) (pow eps 2)) (taylor 0 x) (#s(alt #s(approx (+ (* (neg x) x) (* (+ x eps) (+ x eps))) #s(literal 0 binary64)) (patch #s(approx (+ (* (neg x) x) (* (+ x eps) (+ x eps))) #s(literal 0 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (* eps x)) (pow eps 2)) (taylor 0 x) (#s(alt #s(approx (+ (* (neg x) x) (* (+ x eps) (+ x eps))) #s(literal 0 binary64)) (patch #s(approx (+ (* (neg x) x) (* (+ x eps) (+ x eps))) #s(literal 0 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (* eps x)) (pow eps 2)) (taylor 0 x) (#s(alt #s(approx (+ (* (neg x) x) (* (+ x eps) (+ x eps))) #s(literal 0 binary64)) (patch #s(approx (+ (* (neg x) x) (* (+ x eps) (+ x eps))) #s(literal 0 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (* eps x)) (taylor inf x) (#s(alt #s(approx (+ (* (neg x) x) (* (+ x eps) (+ x eps))) #s(literal 0 binary64)) (patch #s(approx (+ (* (neg x) x) (* (+ x eps) (+ x eps))) #s(literal 0 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* 2 eps) (/ (pow eps 2) x))) (taylor inf x) (#s(alt #s(approx (+ (* (neg x) x) (* (+ x eps) (+ x eps))) #s(literal 0 binary64)) (patch #s(approx (+ (* (neg x) x) (* (+ x eps) (+ x eps))) #s(literal 0 binary64)) #<representation binary64>) () ())) ()) |
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#s(alt (pow eps 2) (taylor inf eps) (#s(alt #s(approx (- (pow (+ x eps) 2) (pow x 2)) (fma.f64 eps eps (*.f64 eps (*.f64 x #s(literal 2 binary64))))) (patch #s(approx (- (pow (+ x eps) 2) (pow x 2)) (fma.f64 eps eps (*.f64 eps (*.f64 x #s(literal 2 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow eps 2) (+ 1 (* 2 (/ x eps)))) (taylor inf eps) (#s(alt #s(approx (- (pow (+ x eps) 2) (pow x 2)) (fma.f64 eps eps (*.f64 eps (*.f64 x #s(literal 2 binary64))))) (patch #s(approx (- (pow (+ x eps) 2) (pow x 2)) (fma.f64 eps eps (*.f64 eps (*.f64 x #s(literal 2 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow eps 2) (+ 1 (* 2 (/ x eps)))) (taylor inf eps) (#s(alt #s(approx (- (pow (+ x eps) 2) (pow x 2)) (fma.f64 eps eps (*.f64 eps (*.f64 x #s(literal 2 binary64))))) (patch #s(approx (- (pow (+ x eps) 2) (pow x 2)) (fma.f64 eps eps (*.f64 eps (*.f64 x #s(literal 2 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow eps 2) (+ 1 (* 2 (/ x eps)))) (taylor inf eps) (#s(alt #s(approx (- (pow (+ x eps) 2) (pow x 2)) (fma.f64 eps eps (*.f64 eps (*.f64 x #s(literal 2 binary64))))) (patch #s(approx (- (pow (+ x eps) 2) (pow x 2)) (fma.f64 eps eps (*.f64 eps (*.f64 x #s(literal 2 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (pow eps 2) (taylor -inf eps) (#s(alt #s(approx (- (pow (+ x eps) 2) (pow x 2)) (fma.f64 eps eps (*.f64 eps (*.f64 x #s(literal 2 binary64))))) (patch #s(approx (- (pow (+ x eps) 2) (pow x 2)) (fma.f64 eps eps (*.f64 eps (*.f64 x #s(literal 2 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow eps 2) (+ 1 (* 2 (/ x eps)))) (taylor -inf eps) (#s(alt #s(approx (- (pow (+ x eps) 2) (pow x 2)) (fma.f64 eps eps (*.f64 eps (*.f64 x #s(literal 2 binary64))))) (patch #s(approx (- (pow (+ x eps) 2) (pow x 2)) (fma.f64 eps eps (*.f64 eps (*.f64 x #s(literal 2 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow eps 2) (+ 1 (* 2 (/ x eps)))) (taylor -inf eps) (#s(alt #s(approx (- (pow (+ x eps) 2) (pow x 2)) (fma.f64 eps eps (*.f64 eps (*.f64 x #s(literal 2 binary64))))) (patch #s(approx (- (pow (+ x eps) 2) (pow x 2)) (fma.f64 eps eps (*.f64 eps (*.f64 x #s(literal 2 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow eps 2) (+ 1 (* 2 (/ x eps)))) (taylor -inf eps) (#s(alt #s(approx (- (pow (+ x eps) 2) (pow x 2)) (fma.f64 eps eps (*.f64 eps (*.f64 x #s(literal 2 binary64))))) (patch #s(approx (- (pow (+ x eps) 2) (pow x 2)) (fma.f64 eps eps (*.f64 eps (*.f64 x #s(literal 2 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (* eps x)) (taylor 0 eps) (#s(alt (*.f64 eps (*.f64 x #s(literal 2 binary64))) (patch (*.f64 eps (*.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (* eps x)) (taylor 0 eps) (#s(alt (*.f64 eps (*.f64 x #s(literal 2 binary64))) (patch (*.f64 eps (*.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (* eps x)) (taylor 0 eps) (#s(alt (*.f64 eps (*.f64 x #s(literal 2 binary64))) (patch (*.f64 eps (*.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (* eps x)) (taylor 0 eps) (#s(alt (*.f64 eps (*.f64 x #s(literal 2 binary64))) (patch (*.f64 eps (*.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (* eps x)) (taylor inf eps) (#s(alt (*.f64 eps (*.f64 x #s(literal 2 binary64))) (patch (*.f64 eps (*.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (* eps x)) (taylor inf eps) (#s(alt (*.f64 eps (*.f64 x #s(literal 2 binary64))) (patch (*.f64 eps (*.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (* eps x)) (taylor inf eps) (#s(alt (*.f64 eps (*.f64 x #s(literal 2 binary64))) (patch (*.f64 eps (*.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (* eps x)) (taylor inf eps) (#s(alt (*.f64 eps (*.f64 x #s(literal 2 binary64))) (patch (*.f64 eps (*.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (* eps x)) (taylor -inf eps) (#s(alt (*.f64 eps (*.f64 x #s(literal 2 binary64))) (patch (*.f64 eps (*.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (* eps x)) (taylor -inf eps) (#s(alt (*.f64 eps (*.f64 x #s(literal 2 binary64))) (patch (*.f64 eps (*.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (* eps x)) (taylor -inf eps) (#s(alt (*.f64 eps (*.f64 x #s(literal 2 binary64))) (patch (*.f64 eps (*.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (* eps x)) (taylor -inf eps) (#s(alt (*.f64 eps (*.f64 x #s(literal 2 binary64))) (patch (*.f64 eps (*.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (* eps x)) (taylor 0 x) (#s(alt (*.f64 eps (*.f64 x #s(literal 2 binary64))) (patch (*.f64 eps (*.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (* eps x)) (taylor 0 x) (#s(alt (*.f64 eps (*.f64 x #s(literal 2 binary64))) (patch (*.f64 eps (*.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (* eps x)) (taylor 0 x) (#s(alt (*.f64 eps (*.f64 x #s(literal 2 binary64))) (patch (*.f64 eps (*.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (* eps x)) (taylor 0 x) (#s(alt (*.f64 eps (*.f64 x #s(literal 2 binary64))) (patch (*.f64 eps (*.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (* eps x)) (taylor inf x) (#s(alt (*.f64 eps (*.f64 x #s(literal 2 binary64))) (patch (*.f64 eps (*.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (* eps x)) (taylor inf x) (#s(alt (*.f64 eps (*.f64 x #s(literal 2 binary64))) (patch (*.f64 eps (*.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (* eps x)) (taylor inf x) (#s(alt (*.f64 eps (*.f64 x #s(literal 2 binary64))) (patch (*.f64 eps (*.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (* eps x)) (taylor inf x) (#s(alt (*.f64 eps (*.f64 x #s(literal 2 binary64))) (patch (*.f64 eps (*.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (* eps x)) (taylor -inf x) (#s(alt (*.f64 eps (*.f64 x #s(literal 2 binary64))) (patch (*.f64 eps (*.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (* eps x)) (taylor -inf x) (#s(alt (*.f64 eps (*.f64 x #s(literal 2 binary64))) (patch (*.f64 eps (*.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (* eps x)) (taylor -inf x) (#s(alt (*.f64 eps (*.f64 x #s(literal 2 binary64))) (patch (*.f64 eps (*.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (* eps x)) (taylor -inf x) (#s(alt (*.f64 eps (*.f64 x #s(literal 2 binary64))) (patch (*.f64 eps (*.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
27 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (+ (* eps eps) (* eps (* x 2))) |
| 0.0ms | x | @ | inf | (* x 2) |
| 0.0ms | x | @ | -inf | (* x 2) |
| 0.0ms | x | @ | 0 | (* x 2) |
| 0.0ms | x | @ | -inf | (+ (* eps eps) (* eps (* x 2))) |
| 1× | egg-herbie |
| 13 984× | lower-fma.f64 |
| 13 984× | lower-fma.f32 |
| 2 374× | lower--.f64 |
| 2 374× | lower--.f32 |
| 2 130× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 47 | 710 |
| 1 | 142 | 600 |
| 2 | 423 | 600 |
| 3 | 1307 | 600 |
| 4 | 3458 | 600 |
| 5 | 7620 | 600 |
| 0 | 8440 | 547 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(pow eps 2) |
(+ (* 2 (* eps x)) (pow eps 2)) |
(+ (* 2 (* eps x)) (pow eps 2)) |
(+ (* 2 (* eps x)) (pow eps 2)) |
(* 2 (* eps x)) |
(* x (+ (* 2 eps) (/ (pow eps 2) x))) |
(* x (+ (* 2 eps) (/ (pow eps 2) x))) |
(* x (+ (* 2 eps) (/ (pow eps 2) x))) |
(* 2 (* eps x)) |
(* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x))))) |
(* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x))))) |
(* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x))))) |
(+ (* -1 (pow x 2)) (pow x 2)) |
(+ (* -1 (pow x 2)) (+ (* 2 (* eps x)) (pow x 2))) |
(+ (* -1 (pow x 2)) (+ (* eps (+ eps (* 2 x))) (pow x 2))) |
(+ (* -1 (pow x 2)) (+ (* eps (+ eps (* 2 x))) (pow x 2))) |
(pow eps 2) |
(* (pow eps 2) (+ 1 (* 2 (/ x eps)))) |
(* (pow eps 2) (+ 1 (+ (* -1 (/ (pow x 2) (pow eps 2))) (+ (* 2 (/ x eps)) (/ (pow x 2) (pow eps 2)))))) |
(* (pow eps 2) (+ 1 (+ (* -1 (/ (pow x 2) (pow eps 2))) (+ (* 2 (/ x eps)) (/ (pow x 2) (pow eps 2)))))) |
(pow eps 2) |
(* (pow eps 2) (+ 1 (* 2 (/ x eps)))) |
(* (pow eps 2) (+ 1 (* -1 (/ (+ (* -2 x) (* -1 (/ (+ (* -1 (pow x 2)) (pow x 2)) eps))) eps)))) |
(* (pow eps 2) (+ 1 (* -1 (/ (+ (* -2 x) (* -1 (/ (+ (* -1 (pow x 2)) (pow x 2)) eps))) eps)))) |
(* 2 (* eps x)) |
(* eps (+ eps (* 2 x))) |
(* eps (+ eps (* 2 x))) |
(* eps (+ eps (* 2 x))) |
(pow eps 2) |
(* (pow eps 2) (+ 1 (* 2 (/ x eps)))) |
(* (pow eps 2) (+ 1 (* 2 (/ x eps)))) |
(* (pow eps 2) (+ 1 (* 2 (/ x eps)))) |
(pow eps 2) |
(* (pow eps 2) (+ 1 (* 2 (/ x eps)))) |
(* (pow eps 2) (+ 1 (* 2 (/ x eps)))) |
(* (pow eps 2) (+ 1 (* 2 (/ x eps)))) |
(pow eps 2) |
(+ (* 2 (* eps x)) (pow eps 2)) |
(+ (* 2 (* eps x)) (pow eps 2)) |
(+ (* 2 (* eps x)) (pow eps 2)) |
(* 2 (* eps x)) |
(* x (+ (* 2 eps) (/ (pow eps 2) x))) |
(* x (+ (* 2 eps) (/ (pow eps 2) x))) |
(* x (+ (* 2 eps) (/ (pow eps 2) x))) |
(* 2 (* eps x)) |
(* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x))))) |
(* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x))))) |
(* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x))))) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(pow eps 2) |
(+ (* 2 (* eps x)) (pow eps 2)) |
(+ (* 2 (* eps x)) (pow eps 2)) |
(+ (* 2 (* eps x)) (pow eps 2)) |
(* 2 (* eps x)) |
(* x (+ (* 2 eps) (/ (pow eps 2) x))) |
(* x (+ (* 2 eps) (/ (pow eps 2) x))) |
(* x (+ (* 2 eps) (/ (pow eps 2) x))) |
(* 2 (* eps x)) |
(* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x))))) |
(* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x))))) |
(* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x))))) |
(* 2 (* eps x)) |
(* eps (+ eps (* 2 x))) |
(* eps (+ eps (* 2 x))) |
(* eps (+ eps (* 2 x))) |
(pow eps 2) |
(* (pow eps 2) (+ 1 (* 2 (/ x eps)))) |
(* (pow eps 2) (+ 1 (* 2 (/ x eps)))) |
(* (pow eps 2) (+ 1 (* 2 (/ x eps)))) |
(pow eps 2) |
(* (pow eps 2) (+ 1 (* 2 (/ x eps)))) |
(* (pow eps 2) (+ 1 (* 2 (/ x eps)))) |
(* (pow eps 2) (+ 1 (* 2 (/ x eps)))) |
(* 2 (* eps x)) |
(* 2 (* eps x)) |
(* 2 (* eps x)) |
(* 2 (* eps x)) |
(* 2 (* eps x)) |
(* 2 (* eps x)) |
(* 2 (* eps x)) |
(* 2 (* eps x)) |
(* 2 (* eps x)) |
(* 2 (* eps x)) |
(* 2 (* eps x)) |
(* 2 (* eps x)) |
(* 2 (* eps x)) |
(* 2 (* eps x)) |
(* 2 (* eps x)) |
(* 2 (* eps x)) |
(* 2 (* eps x)) |
(* 2 (* eps x)) |
(* 2 (* eps x)) |
(* 2 (* eps x)) |
(* 2 (* eps x)) |
(* 2 (* eps x)) |
(* 2 (* eps x)) |
(* 2 (* eps x)) |
| Outputs |
|---|
(pow eps 2) |
(*.f64 eps eps) |
(+ (* 2 (* eps x)) (pow eps 2)) |
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps)) |
(+ (* 2 (* eps x)) (pow eps 2)) |
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps)) |
(+ (* 2 (* eps x)) (pow eps 2)) |
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps)) |
(* 2 (* eps x)) |
(*.f64 eps (*.f64 #s(literal 2 binary64) x)) |
(* x (+ (* 2 eps) (/ (pow eps 2) x))) |
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps)) |
(* x (+ (* 2 eps) (/ (pow eps 2) x))) |
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps)) |
(* x (+ (* 2 eps) (/ (pow eps 2) x))) |
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps)) |
(* 2 (* eps x)) |
(*.f64 eps (*.f64 #s(literal 2 binary64) x)) |
(* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x))))) |
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps)) |
(* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x))))) |
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps)) |
(* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x))))) |
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps)) |
(+ (* -1 (pow x 2)) (pow x 2)) |
#s(literal 0 binary64) |
(+ (* -1 (pow x 2)) (+ (* 2 (* eps x)) (pow x 2))) |
(*.f64 eps (*.f64 #s(literal 2 binary64) x)) |
(+ (* -1 (pow x 2)) (+ (* eps (+ eps (* 2 x))) (pow x 2))) |
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps)) |
(+ (* -1 (pow x 2)) (+ (* eps (+ eps (* 2 x))) (pow x 2))) |
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps)) |
(pow eps 2) |
(*.f64 eps eps) |
(* (pow eps 2) (+ 1 (* 2 (/ x eps)))) |
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps)) |
(* (pow eps 2) (+ 1 (+ (* -1 (/ (pow x 2) (pow eps 2))) (+ (* 2 (/ x eps)) (/ (pow x 2) (pow eps 2)))))) |
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps)) |
(* (pow eps 2) (+ 1 (+ (* -1 (/ (pow x 2) (pow eps 2))) (+ (* 2 (/ x eps)) (/ (pow x 2) (pow eps 2)))))) |
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps)) |
(pow eps 2) |
(*.f64 eps eps) |
(* (pow eps 2) (+ 1 (* 2 (/ x eps)))) |
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps)) |
(* (pow eps 2) (+ 1 (* -1 (/ (+ (* -2 x) (* -1 (/ (+ (* -1 (pow x 2)) (pow x 2)) eps))) eps)))) |
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps)) |
(* (pow eps 2) (+ 1 (* -1 (/ (+ (* -2 x) (* -1 (/ (+ (* -1 (pow x 2)) (pow x 2)) eps))) eps)))) |
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps)) |
(* 2 (* eps x)) |
(*.f64 eps (*.f64 #s(literal 2 binary64) x)) |
(* eps (+ eps (* 2 x))) |
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps)) |
(* eps (+ eps (* 2 x))) |
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps)) |
(* eps (+ eps (* 2 x))) |
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps)) |
(pow eps 2) |
(*.f64 eps eps) |
(* (pow eps 2) (+ 1 (* 2 (/ x eps)))) |
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps)) |
(* (pow eps 2) (+ 1 (* 2 (/ x eps)))) |
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps)) |
(* (pow eps 2) (+ 1 (* 2 (/ x eps)))) |
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps)) |
(pow eps 2) |
(*.f64 eps eps) |
(* (pow eps 2) (+ 1 (* 2 (/ x eps)))) |
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps)) |
(* (pow eps 2) (+ 1 (* 2 (/ x eps)))) |
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps)) |
(* (pow eps 2) (+ 1 (* 2 (/ x eps)))) |
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps)) |
(pow eps 2) |
(*.f64 eps eps) |
(+ (* 2 (* eps x)) (pow eps 2)) |
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps)) |
(+ (* 2 (* eps x)) (pow eps 2)) |
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps)) |
(+ (* 2 (* eps x)) (pow eps 2)) |
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps)) |
(* 2 (* eps x)) |
(*.f64 eps (*.f64 #s(literal 2 binary64) x)) |
(* x (+ (* 2 eps) (/ (pow eps 2) x))) |
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps)) |
(* x (+ (* 2 eps) (/ (pow eps 2) x))) |
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps)) |
(* x (+ (* 2 eps) (/ (pow eps 2) x))) |
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps)) |
(* 2 (* eps x)) |
(*.f64 eps (*.f64 #s(literal 2 binary64) x)) |
(* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x))))) |
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps)) |
(* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x))))) |
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps)) |
(* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x))))) |
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps)) |
(* 2 x) |
(*.f64 #s(literal 2 binary64) x) |
(* 2 x) |
(*.f64 #s(literal 2 binary64) x) |
(* 2 x) |
(*.f64 #s(literal 2 binary64) x) |
(* 2 x) |
(*.f64 #s(literal 2 binary64) x) |
(* 2 x) |
(*.f64 #s(literal 2 binary64) x) |
(* 2 x) |
(*.f64 #s(literal 2 binary64) x) |
(* 2 x) |
(*.f64 #s(literal 2 binary64) x) |
(* 2 x) |
(*.f64 #s(literal 2 binary64) x) |
(* 2 x) |
(*.f64 #s(literal 2 binary64) x) |
(* 2 x) |
(*.f64 #s(literal 2 binary64) x) |
(* 2 x) |
(*.f64 #s(literal 2 binary64) x) |
(* 2 x) |
(*.f64 #s(literal 2 binary64) x) |
(pow eps 2) |
(*.f64 eps eps) |
(+ (* 2 (* eps x)) (pow eps 2)) |
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps)) |
(+ (* 2 (* eps x)) (pow eps 2)) |
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps)) |
(+ (* 2 (* eps x)) (pow eps 2)) |
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps)) |
(* 2 (* eps x)) |
(*.f64 eps (*.f64 #s(literal 2 binary64) x)) |
(* x (+ (* 2 eps) (/ (pow eps 2) x))) |
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps)) |
(* x (+ (* 2 eps) (/ (pow eps 2) x))) |
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps)) |
(* x (+ (* 2 eps) (/ (pow eps 2) x))) |
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps)) |
(* 2 (* eps x)) |
(*.f64 eps (*.f64 #s(literal 2 binary64) x)) |
(* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x))))) |
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps)) |
(* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x))))) |
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps)) |
(* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x))))) |
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps)) |
(* 2 (* eps x)) |
(*.f64 eps (*.f64 #s(literal 2 binary64) x)) |
(* eps (+ eps (* 2 x))) |
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps)) |
(* eps (+ eps (* 2 x))) |
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps)) |
(* eps (+ eps (* 2 x))) |
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps)) |
(pow eps 2) |
(*.f64 eps eps) |
(* (pow eps 2) (+ 1 (* 2 (/ x eps)))) |
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps)) |
(* (pow eps 2) (+ 1 (* 2 (/ x eps)))) |
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps)) |
(* (pow eps 2) (+ 1 (* 2 (/ x eps)))) |
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps)) |
(pow eps 2) |
(*.f64 eps eps) |
(* (pow eps 2) (+ 1 (* 2 (/ x eps)))) |
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps)) |
(* (pow eps 2) (+ 1 (* 2 (/ x eps)))) |
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps)) |
(* (pow eps 2) (+ 1 (* 2 (/ x eps)))) |
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps)) |
(* 2 (* eps x)) |
(*.f64 eps (*.f64 #s(literal 2 binary64) x)) |
(* 2 (* eps x)) |
(*.f64 eps (*.f64 #s(literal 2 binary64) x)) |
(* 2 (* eps x)) |
(*.f64 eps (*.f64 #s(literal 2 binary64) x)) |
(* 2 (* eps x)) |
(*.f64 eps (*.f64 #s(literal 2 binary64) x)) |
(* 2 (* eps x)) |
(*.f64 eps (*.f64 #s(literal 2 binary64) x)) |
(* 2 (* eps x)) |
(*.f64 eps (*.f64 #s(literal 2 binary64) x)) |
(* 2 (* eps x)) |
(*.f64 eps (*.f64 #s(literal 2 binary64) x)) |
(* 2 (* eps x)) |
(*.f64 eps (*.f64 #s(literal 2 binary64) x)) |
(* 2 (* eps x)) |
(*.f64 eps (*.f64 #s(literal 2 binary64) x)) |
(* 2 (* eps x)) |
(*.f64 eps (*.f64 #s(literal 2 binary64) x)) |
(* 2 (* eps x)) |
(*.f64 eps (*.f64 #s(literal 2 binary64) x)) |
(* 2 (* eps x)) |
(*.f64 eps (*.f64 #s(literal 2 binary64) x)) |
(* 2 (* eps x)) |
(*.f64 eps (*.f64 #s(literal 2 binary64) x)) |
(* 2 (* eps x)) |
(*.f64 eps (*.f64 #s(literal 2 binary64) x)) |
(* 2 (* eps x)) |
(*.f64 eps (*.f64 #s(literal 2 binary64) x)) |
(* 2 (* eps x)) |
(*.f64 eps (*.f64 #s(literal 2 binary64) x)) |
(* 2 (* eps x)) |
(*.f64 eps (*.f64 #s(literal 2 binary64) x)) |
(* 2 (* eps x)) |
(*.f64 eps (*.f64 #s(literal 2 binary64) x)) |
(* 2 (* eps x)) |
(*.f64 eps (*.f64 #s(literal 2 binary64) x)) |
(* 2 (* eps x)) |
(*.f64 eps (*.f64 #s(literal 2 binary64) x)) |
(* 2 (* eps x)) |
(*.f64 eps (*.f64 #s(literal 2 binary64) x)) |
(* 2 (* eps x)) |
(*.f64 eps (*.f64 #s(literal 2 binary64) x)) |
(* 2 (* eps x)) |
(*.f64 eps (*.f64 #s(literal 2 binary64) x)) |
(* 2 (* eps x)) |
(*.f64 eps (*.f64 #s(literal 2 binary64) x)) |
| 10 444× | lower-fma.f32 |
| 10 442× | lower-fma.f64 |
| 5 844× | lower-*.f32 |
| 5 840× | lower-*.f64 |
| 3 690× | lower-/.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 17 | 48 |
| 0 | 21 | 43 |
| 1 | 103 | 43 |
| 2 | 824 | 43 |
| 0 | 8737 | 41 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ (* (neg x) x) (* (+ x eps) (+ x eps))) #s(literal 0 binary64)) |
(fma.f64 eps eps (*.f64 eps (*.f64 x #s(literal 2 binary64)))) |
(*.f64 x #s(literal 2 binary64)) |
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (fma.f64 eps eps (*.f64 eps (*.f64 x #s(literal 2 binary64))))) |
(*.f64 eps (*.f64 x #s(literal 2 binary64))) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(literal 0 binary64)) |
(+.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64))) (*.f64 eps eps)) |
(+.f64 (*.f64 eps eps) (*.f64 eps (*.f64 x #s(literal 2 binary64)))) |
(+.f64 (/.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (*.f64 eps (-.f64 eps (*.f64 x #s(literal 2 binary64))))) (neg.f64 (/.f64 (*.f64 eps (*.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) eps)) (*.f64 eps (-.f64 eps (*.f64 x #s(literal 2 binary64))))))) |
(-.f64 (/.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (*.f64 eps (-.f64 eps (*.f64 x #s(literal 2 binary64))))) (/.f64 (*.f64 eps (*.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) eps)) (*.f64 eps (-.f64 eps (*.f64 x #s(literal 2 binary64)))))) |
(-.f64 (/.f64 (*.f64 eps (*.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) eps)) (*.f64 eps (-.f64 (*.f64 x #s(literal 2 binary64)) eps))) (/.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (*.f64 eps (-.f64 (*.f64 x #s(literal 2 binary64)) eps)))) |
(fma.f64 x (*.f64 #s(literal 2 binary64) eps) (*.f64 eps eps)) |
(fma.f64 eps eps (*.f64 eps (*.f64 x #s(literal 2 binary64)))) |
(fma.f64 eps (*.f64 x #s(literal 2 binary64)) (*.f64 eps eps)) |
(fma.f64 #s(literal 2 binary64) (*.f64 x eps) (*.f64 eps eps)) |
(fma.f64 (*.f64 x #s(literal 2 binary64)) eps (*.f64 eps eps)) |
(fma.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (/.f64 #s(literal 1 binary64) (*.f64 eps (-.f64 eps (*.f64 x #s(literal 2 binary64))))) (neg.f64 (/.f64 (*.f64 eps (*.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) eps)) (*.f64 eps (-.f64 eps (*.f64 x #s(literal 2 binary64))))))) |
(fma.f64 (*.f64 x eps) #s(literal 2 binary64) (*.f64 eps eps)) |
(fma.f64 (*.f64 eps #s(literal 2 binary64)) x (*.f64 eps eps)) |
(fma.f64 (*.f64 #s(literal 2 binary64) eps) x (*.f64 eps eps)) |
(fma.f64 (exp.f64 (log.f64 eps)) (exp.f64 (log.f64 eps)) (*.f64 eps (*.f64 x #s(literal 2 binary64)))) |
(fma.f64 (/.f64 eps eps) (/.f64 (*.f64 eps (*.f64 eps eps)) (-.f64 eps (*.f64 x #s(literal 2 binary64)))) (neg.f64 (/.f64 (*.f64 eps (*.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) eps)) (*.f64 eps (-.f64 eps (*.f64 x #s(literal 2 binary64))))))) |
(fma.f64 (/.f64 (*.f64 eps eps) eps) (/.f64 (*.f64 eps eps) (-.f64 eps (*.f64 x #s(literal 2 binary64)))) (neg.f64 (/.f64 (*.f64 eps (*.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) eps)) (*.f64 eps (-.f64 eps (*.f64 x #s(literal 2 binary64))))))) |
(fma.f64 (/.f64 (*.f64 eps (*.f64 eps eps)) eps) (/.f64 eps (-.f64 eps (*.f64 x #s(literal 2 binary64)))) (neg.f64 (/.f64 (*.f64 eps (*.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) eps)) (*.f64 eps (-.f64 eps (*.f64 x #s(literal 2 binary64))))))) |
(fma.f64 (*.f64 (*.f64 eps #s(literal 2 binary64)) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 eps eps)) |
(neg.f64 (/.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64) (*.f64 eps (*.f64 eps eps)))) (neg.f64 (fma.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64))) (*.f64 eps (-.f64 (*.f64 x #s(literal 2 binary64)) eps)) (*.f64 eps (*.f64 eps (*.f64 eps eps))))))) |
(neg.f64 (/.f64 (*.f64 (*.f64 eps eps) (-.f64 (*.f64 eps eps) (*.f64 (*.f64 x x) #s(literal 4 binary64)))) (*.f64 (neg.f64 eps) (-.f64 eps (*.f64 x #s(literal 2 binary64)))))) |
(neg.f64 (/.f64 (neg.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64) (*.f64 eps (*.f64 eps eps))))) (fma.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64))) (*.f64 eps (-.f64 (*.f64 x #s(literal 2 binary64)) eps)) (*.f64 eps (*.f64 eps (*.f64 eps eps)))))) |
(neg.f64 (/.f64 (neg.f64 (*.f64 (*.f64 eps eps) (-.f64 (*.f64 eps eps) (*.f64 (*.f64 x x) #s(literal 4 binary64))))) (*.f64 eps (-.f64 eps (*.f64 x #s(literal 2 binary64)))))) |
(/.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64) (*.f64 eps (*.f64 eps eps)))) (fma.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64))) (*.f64 eps (-.f64 (*.f64 x #s(literal 2 binary64)) eps)) (*.f64 eps (*.f64 eps (*.f64 eps eps))))) |
(/.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64) (*.f64 eps (*.f64 eps eps)))) (fma.f64 eps (*.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) eps) (*.f64 (*.f64 eps eps) (*.f64 eps (-.f64 eps (*.f64 x #s(literal 2 binary64))))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))))) |
(/.f64 (*.f64 (*.f64 eps eps) (-.f64 (*.f64 eps eps) (*.f64 (*.f64 x x) #s(literal 4 binary64)))) (*.f64 eps (-.f64 eps (*.f64 x #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 eps (fma.f64 x #s(literal 2 binary64) eps)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 eps (*.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) eps) (*.f64 (*.f64 eps eps) (*.f64 eps (-.f64 eps (*.f64 x #s(literal 2 binary64)))))) (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64) (*.f64 eps (*.f64 eps eps)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 eps (-.f64 (*.f64 x #s(literal 2 binary64)) eps)) (*.f64 (*.f64 eps eps) (-.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) (*.f64 eps eps))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64) (*.f64 eps (*.f64 eps eps))))) (neg.f64 (fma.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64))) (*.f64 eps (-.f64 (*.f64 x #s(literal 2 binary64)) eps)) (*.f64 eps (*.f64 eps (*.f64 eps eps)))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64) (*.f64 eps (*.f64 eps eps))))) (neg.f64 (fma.f64 eps (*.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) eps) (*.f64 (*.f64 eps eps) (*.f64 eps (-.f64 eps (*.f64 x #s(literal 2 binary64)))))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 eps eps) (-.f64 (*.f64 eps eps) (*.f64 (*.f64 x x) #s(literal 4 binary64))))) (*.f64 (neg.f64 eps) (-.f64 eps (*.f64 x #s(literal 2 binary64))))) |
(/.f64 (*.f64 (*.f64 eps eps) (-.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) (*.f64 eps eps))) (*.f64 eps (-.f64 (*.f64 x #s(literal 2 binary64)) eps))) |
(/.f64 (-.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (*.f64 eps (-.f64 eps (*.f64 x #s(literal 2 binary64))))) (*.f64 (*.f64 eps (-.f64 eps (*.f64 x #s(literal 2 binary64)))) (*.f64 eps (*.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) eps)))) (*.f64 (*.f64 eps (-.f64 eps (*.f64 x #s(literal 2 binary64)))) (*.f64 eps (-.f64 eps (*.f64 x #s(literal 2 binary64)))))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps (*.f64 eps eps)))) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps (*.f64 eps eps)))))) (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (*.f64 eps eps))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (*.f64 eps eps)))) #s(literal 64 binary64)))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps (*.f64 eps eps))))) (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64))) (-.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64))) (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps (*.f64 eps eps))))))) (fma.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64))) (*.f64 eps (-.f64 (*.f64 x #s(literal 2 binary64)) eps)) (*.f64 eps (*.f64 eps (*.f64 eps eps)))))) |
(/.f64 (*.f64 (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64) (*.f64 eps (*.f64 eps eps)))) (*.f64 (*.f64 eps (*.f64 eps eps)) (-.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64))))) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (-.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64)))) (fma.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64))) (*.f64 eps (-.f64 (*.f64 x #s(literal 2 binary64)) eps)) (*.f64 eps (*.f64 eps (*.f64 eps eps)))))) |
(/.f64 (*.f64 (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64) (*.f64 eps (*.f64 eps eps)))) (*.f64 (*.f64 eps (*.f64 eps eps)) (-.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64))))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps (*.f64 eps eps)))) (*.f64 (*.f64 eps (*.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) eps)) (fma.f64 eps (*.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) eps) (*.f64 eps (*.f64 eps (*.f64 eps eps)))))) (*.f64 eps (-.f64 eps (*.f64 x #s(literal 2 binary64)))))) |
(/.f64 (*.f64 (*.f64 (*.f64 (*.f64 eps eps) (fma.f64 eps eps (*.f64 (*.f64 x x) #s(literal 4 binary64)))) (*.f64 (*.f64 eps eps) (-.f64 (*.f64 eps eps) (*.f64 (*.f64 x x) #s(literal 4 binary64))))) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 eps eps) (fma.f64 eps eps (*.f64 (*.f64 x x) #s(literal 4 binary64)))) (*.f64 eps (-.f64 eps (*.f64 x #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64) (*.f64 eps (*.f64 eps eps)))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64))) (*.f64 eps (-.f64 (*.f64 x #s(literal 2 binary64)) eps)) (*.f64 eps (*.f64 eps (*.f64 eps eps))))))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 eps eps) (-.f64 (*.f64 eps eps) (*.f64 (*.f64 x x) #s(literal 4 binary64)))))) (neg.f64 (*.f64 (neg.f64 eps) (-.f64 eps (*.f64 x #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 eps eps) (-.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) (*.f64 eps eps)))) (neg.f64 (*.f64 eps (-.f64 (*.f64 x #s(literal 2 binary64)) eps)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (*.f64 eps (-.f64 eps (*.f64 x #s(literal 2 binary64))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 eps (*.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) eps)) (*.f64 eps (-.f64 eps (*.f64 x #s(literal 2 binary64))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (*.f64 eps (-.f64 eps (*.f64 x #s(literal 2 binary64))))) (/.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (*.f64 eps (-.f64 eps (*.f64 x #s(literal 2 binary64))))) (fma.f64 (/.f64 (*.f64 eps (*.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) eps)) (*.f64 eps (-.f64 eps (*.f64 x #s(literal 2 binary64))))) (/.f64 (*.f64 eps (*.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) eps)) (*.f64 eps (-.f64 eps (*.f64 x #s(literal 2 binary64))))) (*.f64 (/.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (*.f64 eps (-.f64 eps (*.f64 x #s(literal 2 binary64))))) (/.f64 (*.f64 eps (*.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) eps)) (*.f64 eps (-.f64 eps (*.f64 x #s(literal 2 binary64))))))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (*.f64 eps (-.f64 eps (*.f64 x #s(literal 2 binary64))))) (/.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (*.f64 eps (-.f64 eps (*.f64 x #s(literal 2 binary64)))))) (*.f64 (/.f64 (*.f64 eps (*.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) eps)) (*.f64 eps (-.f64 eps (*.f64 x #s(literal 2 binary64))))) (/.f64 (*.f64 eps (*.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) eps)) (*.f64 eps (-.f64 eps (*.f64 x #s(literal 2 binary64))))))) (+.f64 (/.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (*.f64 eps (-.f64 eps (*.f64 x #s(literal 2 binary64))))) (/.f64 (*.f64 eps (*.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) eps)) (*.f64 eps (-.f64 eps (*.f64 x #s(literal 2 binary64))))))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))) #s(literal -1 binary64)) |
(*.f64 eps (fma.f64 x #s(literal 2 binary64) eps)) |
(*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64) (*.f64 eps (*.f64 eps eps)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64))) (*.f64 eps (-.f64 (*.f64 x #s(literal 2 binary64)) eps)) (*.f64 eps (*.f64 eps (*.f64 eps eps)))))) |
(*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64) (*.f64 eps (*.f64 eps eps)))) (/.f64 #s(literal 1 binary64) (fma.f64 eps (*.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) eps) (*.f64 (*.f64 eps eps) (*.f64 eps (-.f64 eps (*.f64 x #s(literal 2 binary64)))))))) |
(*.f64 (*.f64 (*.f64 eps eps) (-.f64 (*.f64 eps eps) (*.f64 (*.f64 x x) #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 eps (-.f64 eps (*.f64 x #s(literal 2 binary64)))))) |
(*.f64 #s(literal 1 binary64) (*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))) |
(*.f64 (fma.f64 x #s(literal 2 binary64) eps) eps) |
(*.f64 (neg.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64) (*.f64 eps (*.f64 eps eps))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 eps (*.f64 x #s(literal 2 binary64))) (*.f64 eps (-.f64 (*.f64 x #s(literal 2 binary64)) eps)) (*.f64 eps (*.f64 eps (*.f64 eps eps))))))) |
(*.f64 (neg.f64 (*.f64 (*.f64 eps eps) (-.f64 (*.f64 eps eps) (*.f64 (*.f64 x x) #s(literal 4 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 eps) (-.f64 eps (*.f64 x #s(literal 2 binary64)))))) |
(*.f64 (*.f64 (*.f64 eps eps) (-.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) (*.f64 eps eps))) (/.f64 #s(literal 1 binary64) (*.f64 eps (-.f64 (*.f64 x #s(literal 2 binary64)) eps)))) |
(*.f64 (/.f64 (*.f64 eps (fma.f64 x #s(literal 2 binary64) eps)) eps) (/.f64 (*.f64 eps (-.f64 eps (*.f64 x #s(literal 2 binary64)))) (-.f64 eps (*.f64 x #s(literal 2 binary64))))) |
(*.f64 x #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) x) |
(*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)) (sqrt.f64 x)) |
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))) |
(*.f64 x (*.f64 #s(literal 2 binary64) eps)) |
(*.f64 eps (*.f64 x #s(literal 2 binary64))) |
(*.f64 #s(literal 2 binary64) (*.f64 x eps)) |
(*.f64 (*.f64 x #s(literal 2 binary64)) eps) |
(*.f64 (*.f64 x eps) #s(literal 2 binary64)) |
(*.f64 (*.f64 eps #s(literal 2 binary64)) x) |
(*.f64 (*.f64 #s(literal 2 binary64) eps) x) |
(*.f64 (*.f64 (*.f64 eps #s(literal 2 binary64)) (sqrt.f64 x)) (sqrt.f64 x)) |
Compiled 2 817 to 203 computations (92.8% saved)
5 alts after pruning (0 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 177 | 0 | 177 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 2 | 2 |
| Done | 0 | 3 | 3 |
| Total | 177 | 5 | 182 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | #s(approx (- (pow (+ x eps) 2) (pow x 2)) (fma.f64 eps eps (*.f64 eps (*.f64 x #s(literal 2 binary64))))) |
| ✓ | 66.7% | #s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 x (*.f64 #s(literal 2 binary64) eps))) |
| ✓ | 100.0% | #s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))) |
| ✓ | 75.3% | #s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps eps)) |
| ✓ | 43.9% | #s(approx (+ (* (neg x) x) (* (+ x eps) (+ x eps))) #s(literal 0 binary64)) |
Compiled 102 to 45 computations (55.9% saved)
| Inputs |
|---|
#s(approx (+ (* (neg x) x) (* (+ x eps) (+ x eps))) #s(literal 0 binary64)) |
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps eps)) |
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 x (*.f64 #s(literal 2 binary64) eps))) |
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))) |
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (fma.f64 eps eps (*.f64 eps (*.f64 x #s(literal 2 binary64))))) |
(fma.f64 (neg.f64 x) x (*.f64 (+.f64 x eps) (+.f64 x eps))) |
(fma.f64 (+.f64 x eps) x (fma.f64 eps (+.f64 x eps) (neg.f64 (*.f64 x x)))) |
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (fma.f64 eps eps (*.f64 eps (*.f64 x #s(literal 2 binary64))))) |
3 calls:
| 3.0ms | eps |
| 3.0ms | x |
| 3.0ms | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | x |
| 100.0% | 1 | eps |
| 100.0% | 1 | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) |
Compiled 17 to 11 computations (35.3% saved)
| Inputs |
|---|
#s(approx (+ (* (neg x) x) (* (+ x eps) (+ x eps))) #s(literal 0 binary64)) |
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps eps)) |
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 x (*.f64 #s(literal 2 binary64) eps))) |
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))) |
3 calls:
| 3.0ms | x |
| 2.0ms | eps |
| 2.0ms | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | x |
| 100.0% | 1 | eps |
| 100.0% | 1 | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) |
Compiled 17 to 11 computations (35.3% saved)
| Inputs |
|---|
#s(approx (+ (* (neg x) x) (* (+ x eps) (+ x eps))) #s(literal 0 binary64)) |
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps eps)) |
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 x (*.f64 #s(literal 2 binary64) eps))) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 x (*.f64 #s(literal 2 binary64) eps))) |
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps eps)) |
3 calls:
| 2.0ms | eps |
| 2.0ms | x |
| 2.0ms | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 93.5% | 3 | x |
| 87.4% | 3 | eps |
| 97.2% | 2 | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) |
Compiled 17 to 11 computations (35.3% saved)
| Inputs |
|---|
#s(approx (+ (* (neg x) x) (* (+ x eps) (+ x eps))) #s(literal 0 binary64)) |
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps eps)) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps eps)) |
3 calls:
| 1.0ms | x |
| 1.0ms | eps |
| 1.0ms | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 75.3% | 1 | eps |
| 75.3% | 1 | x |
| 75.3% | 1 | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) |
Compiled 17 to 11 computations (35.3% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (+ (* (neg x) x) (* (+ x eps) (+ x eps))) #s(literal 0 binary64)) |
| Outputs |
|---|
#s(approx (+ (* (neg x) x) (* (+ x eps) (+ x eps))) #s(literal 0 binary64)) |
3 calls:
| 1.0ms | x |
| 1.0ms | eps |
| 1.0ms | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 43.9% | 1 | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) |
| 43.9% | 1 | x |
| 43.9% | 1 | eps |
Compiled 17 to 11 computations (35.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 1.039326e-318 |
Compiled 14 to 12 computations (14.3% saved)
| 1× | egg-herbie |
| 12× | *-commutative_binary64 |
| 6× | +-commutative_binary64 |
| 4× | sub-neg_binary64 |
| 2× | neg-sub0_binary64 |
| 2× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 101 |
| 1 | 39 | 101 |
| 2 | 43 | 101 |
| 3 | 45 | 101 |
| 4 | 46 | 101 |
| 1× | saturated |
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (fma.f64 eps eps (*.f64 eps (*.f64 x #s(literal 2 binary64))))) |
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))) |
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 0 binary64)) #s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 x (*.f64 #s(literal 2 binary64) eps))) #s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps eps))) |
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps eps)) |
#s(approx (+ (* (neg x) x) (* (+ x eps) (+ x eps))) #s(literal 0 binary64)) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (fma.f64 eps eps (*.f64 eps (*.f64 x #s(literal 2 binary64))))) |
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))) |
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 0 binary64)) #s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 x (*.f64 #s(literal 2 binary64) eps))) #s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps eps))) |
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 0 binary64)) #s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 x (*.f64 eps #s(literal 2 binary64)))) #s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps eps))) |
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps eps)) |
#s(approx (+ (* (neg x) x) (* (+ x eps) (+ x eps))) #s(literal 0 binary64)) |
| 18 304× | lower-fma.f64 |
| 18 304× | lower-fma.f32 |
| 11 822× | lower-fma.f32 |
| 11 814× | lower-fma.f64 |
| 9 222× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 69 | 492 |
| 1 | 214 | 450 |
| 2 | 574 | 450 |
| 3 | 1825 | 438 |
| 4 | 4173 | 438 |
| 5 | 7244 | 438 |
| 0 | 8097 | 390 |
| 0 | 23 | 118 |
| 0 | 40 | 109 |
| 1 | 157 | 109 |
| 2 | 1161 | 109 |
| 0 | 8669 | 109 |
| 0 | 122 | 1961 |
| 1 | 388 | 1731 |
| 2 | 1061 | 1731 |
| 3 | 3414 | 1707 |
| 0 | 8524 | 1540 |
| 0 | 7 | 20 |
| 0 | 11 | 20 |
| 1 | 52 | 20 |
| 2 | 371 | 20 |
| 3 | 5107 | 20 |
| 0 | 8219 | 20 |
| 1× | done |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 110 to 52 computations (52.7% saved)
Compiled 114 to 50 computations (56.1% saved)
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