
Time bar (total: 7.7s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 0 |
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 1 |
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 2 |
| 50% | 50% | 50% | 0% | 0% | 0% | 0% | 3 |
| 75% | 75% | 25% | 0% | 0% | 0% | 0% | 4 |
| 87.5% | 87.5% | 12.5% | 0% | 0% | 0% | 0% | 5 |
| 93.8% | 93.7% | 6.2% | 0% | 0% | 0% | 0% | 6 |
| 96.9% | 96.8% | 3.1% | 0% | 0% | 0% | 0% | 7 |
| 98.4% | 98.4% | 1.6% | 0% | 0% | 0% | 0% | 8 |
| 99.2% | 99.2% | 0.8% | 0% | 0% | 0% | 0% | 9 |
| 99.6% | 99.6% | 0.4% | 0% | 0% | 0% | 0% | 10 |
| 99.8% | 99.8% | 0.2% | 0% | 0% | 0% | 0% | 11 |
| 99.9% | 99.9% | 0.1% | 0% | 0% | 0% | 0% | 12 |
Compiled 15 to 9 computations (40% saved)
| 265.0ms | 1 575× | 2 | valid |
| 250.0ms | 2 372× | 1 | valid |
| 229.0ms | 4 309× | 0 | valid |
ival-div: 212.0ms (37.7% of total)ival-sub: 143.0ms (25.4% of total)adjust: 118.0ms (21% of total)ival-add: 76.0ms (13.5% of total)ival-true: 6.0ms (1.1% of total)exact: 5.0ms (0.9% of total)ival-assert: 3.0ms (0.5% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 142 | 0 | - | 0 | - | (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) |
| 0 | 0 | - | 0 | - | (+.f64 x #s(literal 1 binary64)) |
| 0 | 0 | - | 0 | - | (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) |
| 0 | 0 | - | 0 | - | (-.f64 x #s(literal 1 binary64)) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | (/.f64 x (+.f64 x #s(literal 1 binary64))) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
-.f64 | (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) | cancellation | 142 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 142 | 0 |
| - | 0 | 114 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 142 | 0 | 0 |
| - | 0 | 0 | 114 |
| number | freq |
|---|---|
| 0 | 114 |
| 1 | 142 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 18.0ms | 108× | 2 | valid |
| 18.0ms | 164× | 1 | valid |
| 17.0ms | 240× | 0 | valid |
Compiled 84 to 25 computations (70.2% saved)
ival-div: 12.0ms (36.6% of total)ival-sub: 8.0ms (24.4% of total)adjust: 7.0ms (21.3% of total)ival-add: 4.0ms (12.2% 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 |
| 640× | lower-fma.f64 |
| 640× | lower-fma.f32 |
| 256× | lower-*.f64 |
| 256× | lower-*.f32 |
| 194× | distribute-rgt-in |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 35 |
| 1 | 23 | 31 |
| 2 | 62 | 27 |
| 3 | 178 | 26 |
| 4 | 414 | 26 |
| 5 | 853 | 26 |
| 6 | 1181 | 26 |
| 7 | 1340 | 26 |
| 8 | 1418 | 26 |
| 9 | 1428 | 26 |
| 0 | 7 | 13 |
| 0 | 12 | 13 |
| 1 | 20 | 13 |
| 2 | 28 | 13 |
| 3 | 44 | 13 |
| 4 | 77 | 13 |
| 5 | 115 | 13 |
| 6 | 203 | 13 |
| 7 | 371 | 13 |
| 8 | 876 | 13 |
| 9 | 1137 | 13 |
| 10 | 1221 | 13 |
| 11 | 1231 | 13 |
| 0 | 1231 | 13 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) |
| Outputs |
|---|
(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) |
(+.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))) |
Compiled 14 to 7 computations (50% saved)
Compiled 1 to 1 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 49.3% | (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) |
Compiled 14 to 7 computations (50% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) | |
| cost-diff | 0 | (+.f64 x #s(literal 1 binary64)) | |
| cost-diff | 0 | (/.f64 x (+.f64 x #s(literal 1 binary64))) | |
| cost-diff | 0 | (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) |
| 640× | lower-fma.f64 |
| 640× | lower-fma.f32 |
| 256× | lower-*.f64 |
| 256× | lower-*.f32 |
| 168× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 33 |
| 0 | 12 | 33 |
| 1 | 20 | 33 |
| 2 | 28 | 33 |
| 3 | 44 | 33 |
| 4 | 77 | 33 |
| 5 | 115 | 33 |
| 6 | 203 | 33 |
| 7 | 371 | 33 |
| 8 | 876 | 33 |
| 9 | 1137 | 33 |
| 10 | 1221 | 33 |
| 11 | 1231 | 33 |
| 0 | 1231 | 33 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) |
(/.f64 x (+.f64 x #s(literal 1 binary64))) |
x |
(+.f64 x #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) |
(-.f64 x #s(literal 1 binary64)) |
| Outputs |
|---|
(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) |
(+.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))) |
(/.f64 x (+.f64 x #s(literal 1 binary64))) |
x |
(+.f64 x #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) |
(/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) |
(-.f64 x #s(literal 1 binary64)) |
(+.f64 x #s(literal -1 binary64)) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (-.f64 x #s(literal 1 binary64)) | |
| accuracy | 0 | (+.f64 x #s(literal 1 binary64)) | |
| accuracy | 0.0078125 | (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) | |
| accuracy | 32.46727246550294 | (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) |
| 12.0ms | 82× | 1 | valid |
| 11.0ms | 54× | 2 | valid |
| 6.0ms | 120× | 0 | valid |
Compiled 35 to 9 computations (74.3% saved)
ival-div: 9.0ms (43% of total)ival-add: 5.0ms (23.9% of total)adjust: 4.0ms (19.1% of total)ival-sub: 4.0ms (19.1% 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 (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) (patch (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #<representation binary64>) () ()) |
#s(alt (/.f64 x (+.f64 x #s(literal 1 binary64))) (patch (/.f64 x (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (patch (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt 1 (taylor 0 x) (#s(alt (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) (patch (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* 3 x)) (taylor 0 x) (#s(alt (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) (patch (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* x (+ 3 x))) (taylor 0 x) (#s(alt (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) (patch (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* x (+ 3 (* x (+ 1 (* 3 x)))))) (taylor 0 x) (#s(alt (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) (patch (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ -3 x) (taylor inf x) (#s(alt (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) (patch (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ 3 (/ 1 x)) x)) (taylor inf x) (#s(alt (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) (patch (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x) (taylor inf x) (#s(alt (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) (patch (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* -1 (/ (+ 3 (/ 1 x)) (pow x 2))) (+ 3 (/ 1 x))) x) (taylor inf x) (#s(alt (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) (patch (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ -3 x) (taylor -inf x) (#s(alt (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) (patch (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ 3 (/ 1 x)) x)) (taylor -inf x) (#s(alt (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) (patch (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x)) (taylor -inf x) (#s(alt (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) (patch (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ 3 (* -1 (/ (- (* -1 (/ (+ 3 (/ 1 x)) x)) 1) x))) x)) (taylor -inf x) (#s(alt (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) (patch (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 x) (#s(alt (/.f64 x (+.f64 x #s(literal 1 binary64))) (patch (/.f64 x (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* -1 x))) (taylor 0 x) (#s(alt (/.f64 x (+.f64 x #s(literal 1 binary64))) (patch (/.f64 x (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* x (- x 1)))) (taylor 0 x) (#s(alt (/.f64 x (+.f64 x #s(literal 1 binary64))) (patch (/.f64 x (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* x (- (* x (+ 1 (* -1 x))) 1)))) (taylor 0 x) (#s(alt (/.f64 x (+.f64 x #s(literal 1 binary64))) (patch (/.f64 x (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor inf x) (#s(alt (/.f64 x (+.f64 x #s(literal 1 binary64))) (patch (/.f64 x (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (- 1 (/ 1 x)) (taylor inf x) (#s(alt (/.f64 x (+.f64 x #s(literal 1 binary64))) (patch (/.f64 x (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) (taylor inf x) (#s(alt (/.f64 x (+.f64 x #s(literal 1 binary64))) (patch (/.f64 x (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))) (taylor inf x) (#s(alt (/.f64 x (+.f64 x #s(literal 1 binary64))) (patch (/.f64 x (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor -inf x) (#s(alt (/.f64 x (+.f64 x #s(literal 1 binary64))) (patch (/.f64 x (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (- 1 (/ 1 x)) (taylor -inf x) (#s(alt (/.f64 x (+.f64 x #s(literal 1 binary64))) (patch (/.f64 x (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) (taylor -inf x) (#s(alt (/.f64 x (+.f64 x #s(literal 1 binary64))) (patch (/.f64 x (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x))) (taylor -inf x) (#s(alt (/.f64 x (+.f64 x #s(literal 1 binary64))) (patch (/.f64 x (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 x) (taylor 0 x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 x) (taylor 0 x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 x) (taylor 0 x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor inf x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ 1 x))) (taylor inf x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ 1 x))) (taylor inf x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ 1 x))) (taylor inf x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt -1 (taylor 0 x) (#s(alt (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (patch (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (- (* -2 x) 1) (taylor 0 x) (#s(alt (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (patch (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (- (* x (- (* -2 x) 2)) 1) (taylor 0 x) (#s(alt (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (patch (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (- (* x (- (* x (- (* -2 x) 2)) 2)) 1) (taylor 0 x) (#s(alt (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (patch (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor inf x) (#s(alt (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (patch (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* 2 (/ 1 x))) (taylor inf x) (#s(alt (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (patch (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) (taylor inf x) (#s(alt (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (patch (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (+ (* 2 (/ 1 x)) (+ (* 2 (/ 1 (pow x 3))) (/ 2 (pow x 2))))) (taylor inf x) (#s(alt (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (patch (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor -inf x) (#s(alt (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (patch (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* 2 (/ 1 x))) (taylor -inf x) (#s(alt (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (patch (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) (taylor -inf x) (#s(alt (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (patch (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) x))) (taylor -inf x) (#s(alt (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (patch (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt -1 (taylor 0 x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- x 1) (taylor 0 x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- x 1) (taylor 0 x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- x 1) (taylor 0 x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor inf x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- 1 (/ 1 x))) (taylor inf x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- 1 (/ 1 x))) (taylor inf x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- 1 (/ 1 x))) (taylor inf x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ 1 x) 1))) (taylor -inf x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ 1 x) 1))) (taylor -inf x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ 1 x) 1))) (taylor -inf x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | inf | (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) |
| 0.0ms | x | @ | -inf | (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) |
| 0.0ms | x | @ | 0 | (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) |
| 0.0ms | x | @ | inf | (+ x 1) |
| 0.0ms | x | @ | -inf | (/ (+ x 1) (- x 1)) |
| 1× | egg-herbie |
| 10 526× | lower-fma.f64 |
| 10 526× | lower-fma.f32 |
| 3 246× | lower-*.f64 |
| 3 246× | lower-*.f32 |
| 2 030× | lower--.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 99 | 362 |
| 1 | 272 | 352 |
| 2 | 618 | 340 |
| 3 | 1569 | 322 |
| 4 | 4393 | 320 |
| 0 | 8115 | 309 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
1 |
(+ 1 (* 3 x)) |
(+ 1 (* x (+ 3 x))) |
(+ 1 (* x (+ 3 (* x (+ 1 (* 3 x)))))) |
(/ -3 x) |
(* -1 (/ (+ 3 (/ 1 x)) x)) |
(/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x) |
(/ (- (* -1 (/ (+ 3 (/ 1 x)) (pow x 2))) (+ 3 (/ 1 x))) x) |
(/ -3 x) |
(* -1 (/ (+ 3 (/ 1 x)) x)) |
(* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x)) |
(* -1 (/ (+ 3 (* -1 (/ (- (* -1 (/ (+ 3 (/ 1 x)) x)) 1) x))) x)) |
x |
(* x (+ 1 (* -1 x))) |
(* x (+ 1 (* x (- x 1)))) |
(* x (+ 1 (* x (- (* x (+ 1 (* -1 x))) 1)))) |
1 |
(- 1 (/ 1 x)) |
(- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) |
(- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))) |
1 |
(- 1 (/ 1 x)) |
(+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) |
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x))) |
1 |
(+ 1 x) |
(+ 1 x) |
(+ 1 x) |
x |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
x |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
-1 |
(- (* -2 x) 1) |
(- (* x (- (* -2 x) 2)) 1) |
(- (* x (- (* x (- (* -2 x) 2)) 2)) 1) |
1 |
(+ 1 (* 2 (/ 1 x))) |
(+ 1 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) |
(+ 1 (+ (* 2 (/ 1 x)) (+ (* 2 (/ 1 (pow x 3))) (/ 2 (pow x 2))))) |
1 |
(+ 1 (* 2 (/ 1 x))) |
(+ 1 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) |
(+ 1 (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) x))) |
-1 |
(- x 1) |
(- x 1) |
(- x 1) |
x |
(* x (- 1 (/ 1 x))) |
(* x (- 1 (/ 1 x))) |
(* x (- 1 (/ 1 x))) |
x |
(* -1 (* x (- (/ 1 x) 1))) |
(* -1 (* x (- (/ 1 x) 1))) |
(* -1 (* x (- (/ 1 x) 1))) |
| Outputs |
|---|
1 |
#s(literal 1 binary64) |
(+ 1 (* 3 x)) |
(fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) |
(+ 1 (* x (+ 3 x))) |
(fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 1 binary64)) |
(+ 1 (* x (+ 3 (* x (+ 1 (* 3 x)))))) |
(*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))) |
(/ -3 x) |
(/.f64 #s(literal -3 binary64) x) |
(* -1 (/ (+ 3 (/ 1 x)) x)) |
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x) |
(/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x) |
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)) x) |
(/ (- (* -1 (/ (+ 3 (/ 1 x)) (pow x 2))) (+ 3 (/ 1 x))) x) |
(/.f64 (*.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x)))) x) |
(/ -3 x) |
(/.f64 #s(literal -3 binary64) x) |
(* -1 (/ (+ 3 (/ 1 x)) x)) |
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x) |
(* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x)) |
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)) x) |
(* -1 (/ (+ 3 (* -1 (/ (- (* -1 (/ (+ 3 (/ 1 x)) x)) 1) x))) x)) |
(/.f64 (*.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x)))) x) |
x |
(* x (+ 1 (* -1 x))) |
(-.f64 x (*.f64 x x)) |
(* x (+ 1 (* x (- x 1)))) |
(fma.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64)) x) |
(* x (+ 1 (* x (- (* x (+ 1 (* -1 x))) 1)))) |
(*.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal 1 binary64)))) |
1 |
#s(literal 1 binary64) |
(- 1 (/ 1 x)) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) |
(- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) |
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) |
(- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))) |
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) x)) x)) |
1 |
#s(literal 1 binary64) |
(- 1 (/ 1 x)) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) |
(+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) |
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) |
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x))) |
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) x)) x)) |
1 |
#s(literal 1 binary64) |
(+ 1 x) |
(+.f64 #s(literal 1 binary64) x) |
(+ 1 x) |
(+.f64 #s(literal 1 binary64) x) |
(+ 1 x) |
(+.f64 #s(literal 1 binary64) x) |
x |
(* x (+ 1 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) x) |
(* x (+ 1 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) x) |
(* x (+ 1 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) x) |
x |
(* x (+ 1 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) x) |
(* x (+ 1 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) x) |
(* x (+ 1 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) x) |
-1 |
#s(literal -1 binary64) |
(- (* -2 x) 1) |
(fma.f64 x #s(literal -2 binary64) #s(literal -1 binary64)) |
(- (* x (- (* -2 x) 2)) 1) |
(fma.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal -2 binary64)) #s(literal -1 binary64)) |
(- (* x (- (* x (- (* -2 x) 2)) 2)) 1) |
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal -2 binary64)) #s(literal -2 binary64)) #s(literal -1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 2 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) |
(+ 1 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) |
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) |
(+ 1 (+ (* 2 (/ 1 x)) (+ (* 2 (/ 1 (pow x 3))) (/ 2 (pow x 2))))) |
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) x)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 2 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) |
(+ 1 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) |
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) |
(+ 1 (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) x))) |
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) x)) |
-1 |
#s(literal -1 binary64) |
(- x 1) |
(+.f64 x #s(literal -1 binary64)) |
(- x 1) |
(+.f64 x #s(literal -1 binary64)) |
(- x 1) |
(+.f64 x #s(literal -1 binary64)) |
x |
(* x (- 1 (/ 1 x))) |
(+.f64 x #s(literal -1 binary64)) |
(* x (- 1 (/ 1 x))) |
(+.f64 x #s(literal -1 binary64)) |
(* x (- 1 (/ 1 x))) |
(+.f64 x #s(literal -1 binary64)) |
x |
(* -1 (* x (- (/ 1 x) 1))) |
(+.f64 x #s(literal -1 binary64)) |
(* -1 (* x (- (/ 1 x) 1))) |
(+.f64 x #s(literal -1 binary64)) |
(* -1 (* x (- (/ 1 x) 1))) |
(+.f64 x #s(literal -1 binary64)) |
| 5 084× | lower-*.f64 |
| 5 084× | lower-*.f32 |
| 4 902× | lower-fma.f64 |
| 4 902× | lower-fma.f32 |
| 4 894× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 31 |
| 0 | 12 | 31 |
| 1 | 67 | 31 |
| 2 | 704 | 31 |
| 0 | 8085 | 31 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) |
(/.f64 x (+.f64 x #s(literal 1 binary64))) |
(+.f64 x #s(literal 1 binary64)) |
(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) |
(-.f64 x #s(literal 1 binary64)) |
| Outputs |
|---|
(+.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (neg.f64 x) #s(literal 1 binary64)))) |
(+.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (neg.f64 x) #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64)))) |
(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))) |
(-.f64 (/.f64 (fma.f64 x x (neg.f64 x)) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (fma.f64 x x #s(literal -1 binary64)))) |
(-.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))) (fma.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) (+.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))) (/.f64 (*.f64 x x) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))))) (/.f64 (/.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (*.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))))) (fma.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) (+.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))) (/.f64 (*.f64 x x) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))))) |
(-.f64 (/.f64 (/.f64 (*.f64 x x) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (+.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))))) (/.f64 (/.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) (+.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))))) |
(-.f64 (/.f64 (*.f64 x (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)))) (*.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))))) (/.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)))))) |
(-.f64 (/.f64 (*.f64 x (+.f64 (neg.f64 x) #s(literal 1 binary64))) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (neg.f64 x) #s(literal 1 binary64)))) (/.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (neg.f64 x) #s(literal -1 binary64))) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (neg.f64 x) #s(literal 1 binary64))))) |
(-.f64 (/.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))) (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x) (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))))) (/.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x) (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x) (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)))))) |
(-.f64 (/.f64 (*.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x) (+.f64 x #s(literal -1 binary64)))) (/.f64 (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x) (+.f64 x #s(literal 1 binary64))) (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x) (+.f64 x #s(literal -1 binary64))))) |
(-.f64 (/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (neg.f64 x) #s(literal 1 binary64))) (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x) (+.f64 (neg.f64 x) #s(literal 1 binary64)))) (/.f64 (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x) (+.f64 (neg.f64 x) #s(literal -1 binary64))) (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x) (+.f64 (neg.f64 x) #s(literal 1 binary64))))) |
(-.f64 (/.f64 (*.f64 (neg.f64 x) (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)))) (*.f64 (+.f64 (neg.f64 x) #s(literal -1 binary64)) (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))))) (/.f64 (*.f64 (+.f64 (neg.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (neg.f64 x) #s(literal -1 binary64)) (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)))))) |
(-.f64 (/.f64 (*.f64 (neg.f64 x) (+.f64 x #s(literal -1 binary64))) (*.f64 (+.f64 (neg.f64 x) #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) (/.f64 (*.f64 (+.f64 (neg.f64 x) #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))) (*.f64 (+.f64 (neg.f64 x) #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))))) |
(-.f64 (/.f64 (*.f64 (neg.f64 x) (+.f64 (neg.f64 x) #s(literal 1 binary64))) (*.f64 (+.f64 (neg.f64 x) #s(literal -1 binary64)) (+.f64 (neg.f64 x) #s(literal 1 binary64)))) (/.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (*.f64 (+.f64 (neg.f64 x) #s(literal -1 binary64)) (+.f64 (neg.f64 x) #s(literal 1 binary64))))) |
(-.f64 (/.f64 (/.f64 (*.f64 x x) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (neg.f64 x) #s(literal 1 binary64))))) (/.f64 (/.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (neg.f64 x) #s(literal 1 binary64)))))) |
(fma.f64 x (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (neg.f64 x) #s(literal 1 binary64)))) |
(fma.f64 #s(literal 1 binary64) (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (neg.f64 x) #s(literal 1 binary64)))) |
(fma.f64 (+.f64 x #s(literal 1 binary64)) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))) (/.f64 x (+.f64 x #s(literal 1 binary64)))) |
(fma.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (neg.f64 x) #s(literal 1 binary64)))) |
(fma.f64 (+.f64 (neg.f64 x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64)))) |
(fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 (neg.f64 x) #s(literal -1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (neg.f64 x) #s(literal 1 binary64)))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) x (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (neg.f64 x) #s(literal 1 binary64)))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (neg.f64 x) #s(literal 1 binary64)))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 x #s(literal 1 binary64)) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (neg.f64 x) #s(literal 1 binary64)))) |
(fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64)))) |
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(*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))) |
(*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))) |
(*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)))) |
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)) |
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64))) |
(*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)))) |
(*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)))) |
(*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (*.f64 x x) #s(literal -1 binary64)))) (/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 x x (+.f64 x #s(literal 1 binary64))))) |
(*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) |
(*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (*.f64 x x) #s(literal -1 binary64)))) (/.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x x (+.f64 x #s(literal 1 binary64))))) |
Compiled 14 276 to 1 482 computations (89.6% saved)
10 alts after pruning (9 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 491 | 9 | 500 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 491 | 10 | 501 |
| Status | Accuracy | Program |
|---|---|---|
| 47.1% | (fma.f64 (/.f64 x (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (neg.f64 x) #s(literal 1 binary64)))) | |
| ✓ | 49.3% | (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) |
| ▶ | 45.1% | #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 1 binary64))) |
| 44.7% | #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))) | |
| ▶ | 56.6% | #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)) x)) |
| 55.6% | #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x)) | |
| ▶ | 55.9% | #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (*.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x)))) x)) |
| 55.9% | #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal -3 binary64) x)) | |
| ▶ | 44.6% | #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))) |
| ▶ | 45.8% | #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) #s(literal 1 binary64)) |
Compiled 206 to 121 computations (41.3% saved)
| 1× | egg-herbie |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) x)) | |
| cost-diff | 0 | (*.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x)))) | |
| cost-diff | 0 | (/.f64 (*.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x)))) x) | |
| cost-diff | 0 | #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (*.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x)))) x)) | |
| cost-diff | 0 | (fma.f64 x x #s(literal 1 binary64)) | |
| cost-diff | 0 | (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))) | |
| cost-diff | 0 | #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))) | |
| cost-diff | 0 | (+.f64 #s(literal 3 binary64) x) | |
| cost-diff | 0 | (fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 1 binary64))) | |
| cost-diff | 0 | #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) #s(literal 1 binary64)) | |
| cost-diff | 0 | (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x) | |
| cost-diff | 0 | (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)) | |
| cost-diff | 0 | (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)) x) | |
| cost-diff | 0 | #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)) x)) |
| 7 682× | lower-fma.f32 |
| 7 676× | lower-fma.f64 |
| 1 996× | lower-*.f32 |
| 1 990× | lower-*.f64 |
| 1 710× | unsub-neg |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 238 |
| 0 | 51 | 238 |
| 1 | 88 | 238 |
| 2 | 166 | 238 |
| 3 | 355 | 238 |
| 4 | 724 | 238 |
| 5 | 1556 | 238 |
| 6 | 3367 | 238 |
| 7 | 5471 | 238 |
| 8 | 6438 | 238 |
| 9 | 7008 | 238 |
| 10 | 7416 | 238 |
| 11 | 7465 | 238 |
| 12 | 7593 | 238 |
| 13 | 7996 | 238 |
| 0 | 8012 | 238 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)) x)) |
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)) x) |
(+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)) |
#s(literal -3 binary64) |
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x) |
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) |
#s(literal -1 binary64) |
(/.f64 #s(literal -3 binary64) x) |
x |
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 1 binary64))) |
(fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 1 binary64)) |
x |
(+.f64 #s(literal 3 binary64) x) |
#s(literal 3 binary64) |
#s(literal 1 binary64) |
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))) |
(*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))) |
(fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) |
#s(literal 3 binary64) |
x |
#s(literal 1 binary64) |
(fma.f64 x x #s(literal 1 binary64)) |
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (*.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x)))) x)) |
(/.f64 (*.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x)))) x) |
(*.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x)))) |
(+.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) x)) |
#s(literal 3 binary64) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x))) |
#s(literal -1 binary64) |
(/.f64 #s(literal -1 binary64) (*.f64 x x)) |
(*.f64 x x) |
| Outputs |
|---|
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)) x)) |
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)) x) |
(+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)) |
#s(literal -3 binary64) |
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x) |
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) |
#s(literal -1 binary64) |
(/.f64 #s(literal -3 binary64) x) |
x |
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 1 binary64))) |
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 x (+.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) |
(fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 1 binary64)) |
(fma.f64 x (+.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) |
x |
(+.f64 #s(literal 3 binary64) x) |
(+.f64 x #s(literal 3 binary64)) |
#s(literal 3 binary64) |
#s(literal 1 binary64) |
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))) |
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))) |
(*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))) |
(fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) |
(fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)) |
#s(literal 3 binary64) |
x |
#s(literal 1 binary64) |
(fma.f64 x x #s(literal 1 binary64)) |
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (*.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x)))) x)) |
(/.f64 (*.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x)))) x) |
(*.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x)))) |
(+.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) x)) |
#s(literal 3 binary64) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x))) |
#s(literal -1 binary64) |
(/.f64 #s(literal -1 binary64) (*.f64 x x)) |
(*.f64 x x) |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.03125 | (/.f64 (*.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x)))) x) | |
| accuracy | 0.05859375 | (*.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x)))) | |
| accuracy | 0.26118842085654576 | (/.f64 #s(literal -1 binary64) (*.f64 x x)) | |
| accuracy | 28.199633915636184 | #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (*.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x)))) x)) | |
| accuracy | 0 | (fma.f64 x x #s(literal 1 binary64)) | |
| accuracy | 0 | (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) | |
| accuracy | 0.07878876953688403 | (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))) | |
| accuracy | 35.46380323154883 | #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))) | |
| accuracy | 0 | (fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 1 binary64)) | |
| accuracy | 0 | (+.f64 #s(literal 3 binary64) x) | |
| accuracy | 35.11209943280984 | #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 1 binary64))) | |
| accuracy | 34.66011863779201 | #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) #s(literal 1 binary64)) | |
| accuracy | 0 | (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)) | |
| accuracy | 0.05078125 | (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)) x) | |
| accuracy | 0.07421875 | (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x) | |
| accuracy | 27.78516893295953 | #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)) x)) |
| 51.0ms | 80× | 1 | valid |
| 36.0ms | 56× | 2 | valid |
| 23.0ms | 120× | 0 | valid |
Compiled 198 to 31 computations (84.3% saved)
adjust: 39.0ms (46.3% of total)ival-div: 18.0ms (21.3% of total)ival-add: 13.0ms (15.4% of total)ival-mult: 9.0ms (10.7% of total)ival-sub: 4.0ms (4.7% 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 (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)) x)) (patch #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)) x)) #<representation binary64>) () ()) |
#s(alt (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)) x) (patch (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)) x) #<representation binary64>) () ()) |
#s(alt (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)) (patch (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)) #<representation binary64>) () ()) |
#s(alt (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x) (patch (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x) #<representation binary64>) () ()) |
#s(alt #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) #s(literal 1 binary64)) (patch #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 1 binary64))) (patch #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 1 binary64)) (patch (fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (+.f64 #s(literal 3 binary64) x) (patch (+.f64 #s(literal 3 binary64) x) #<representation binary64>) () ()) |
#s(alt #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))) (patch #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))) (patch (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) (patch (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 x x #s(literal 1 binary64)) (patch (fma.f64 x x #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (*.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x)))) x)) (patch #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (*.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x)))) x)) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x)))) x) (patch (/.f64 (*.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x)))) x) #<representation binary64>) () ()) |
#s(alt (*.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x)))) (patch (*.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x)))) #<representation binary64>) () ()) |
#s(alt (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) x)) (patch (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal -1 binary64) (*.f64 x x)) (patch (/.f64 #s(literal -1 binary64) (*.f64 x x)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt 1 (taylor 0 x) (#s(alt #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)) x)) (patch #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* 3 x)) (taylor 0 x) (#s(alt #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)) x)) (patch #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* x (+ 3 x))) (taylor 0 x) (#s(alt #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)) x)) (patch #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* x (+ 3 (* x (+ 1 (* 3 x)))))) (taylor 0 x) (#s(alt #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)) x)) (patch #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)) x)) #<representation binary64>) () ())) ()) |
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#s(alt (/ (- (* -1 (/ (+ 3 (/ 1 x)) (pow x 2))) (+ 3 (/ 1 x))) x) (taylor inf x) (#s(alt #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)) x)) (patch #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ -3 x) (taylor -inf x) (#s(alt #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)) x)) (patch #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ 3 (/ 1 x)) x)) (taylor -inf x) (#s(alt #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)) x)) (patch #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)) x)) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (/ (+ 3 (* -1 (/ (- (* -1 (/ (+ 3 (/ 1 x)) x)) 1) x))) x)) (taylor -inf x) (#s(alt #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)) x)) (patch #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ -3 (pow x 3)) (taylor 0 x) (#s(alt (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)) x) (patch (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* -1 x) 3) (pow x 3)) (taylor 0 x) (#s(alt (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)) x) (patch (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* x (- (* -3 x) 1)) 3) (pow x 3)) (taylor 0 x) (#s(alt (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)) x) (patch (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* x (- (* -3 x) 1)) 3) (pow x 3)) (taylor 0 x) (#s(alt (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)) x) (patch (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)) x) #<representation binary64>) () ())) ()) |
#s(alt (/ -3 x) (taylor inf x) (#s(alt (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)) x) (patch (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ 3 (/ 1 x)) x)) (taylor inf x) (#s(alt (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)) x) (patch (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x) (taylor inf x) (#s(alt (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)) x) (patch (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x) (taylor inf x) (#s(alt (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)) x) (patch (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)) x) #<representation binary64>) () ())) ()) |
#s(alt (/ -3 x) (taylor -inf x) (#s(alt (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)) x) (patch (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ 3 (/ 1 x)) x)) (taylor -inf x) (#s(alt (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)) x) (patch (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x)) (taylor -inf x) (#s(alt (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)) x) (patch (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x)) (taylor -inf x) (#s(alt (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)) x) (patch (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)) x) #<representation binary64>) () ())) ()) |
#s(alt (/ -3 (pow x 2)) (taylor 0 x) (#s(alt (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)) (patch (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* -1 x) 3) (pow x 2)) (taylor 0 x) (#s(alt (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)) (patch (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* x (- (* -3 x) 1)) 3) (pow x 2)) (taylor 0 x) (#s(alt (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)) (patch (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* x (- (* -3 x) 1)) 3) (pow x 2)) (taylor 0 x) (#s(alt (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)) (patch (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)) #<representation binary64>) () ())) ()) |
#s(alt -3 (taylor inf x) (#s(alt (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)) (patch (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (+ 3 (/ 1 x))) (taylor inf x) (#s(alt (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)) (patch (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)) #<representation binary64>) () ())) ()) |
#s(alt (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) (taylor inf x) (#s(alt (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)) (patch (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)) #<representation binary64>) () ())) ()) |
#s(alt (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) (taylor inf x) (#s(alt (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)) (patch (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)) #<representation binary64>) () ())) ()) |
#s(alt -3 (taylor -inf x) (#s(alt (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)) (patch (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (+ 3 (/ 1 x))) (taylor -inf x) (#s(alt (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)) (patch (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)) #<representation binary64>) () ())) ()) |
#s(alt (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) (taylor -inf x) (#s(alt (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)) (patch (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)) #<representation binary64>) () ())) ()) |
#s(alt (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) (taylor -inf x) (#s(alt (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)) (patch (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ -3 (pow x 2)) (taylor 0 x) (#s(alt (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x) (patch (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* -1 x) 3) (pow x 2)) (taylor 0 x) (#s(alt (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x) (patch (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* -1 x) 3) (pow x 2)) (taylor 0 x) (#s(alt (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x) (patch (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* -1 x) 3) (pow x 2)) (taylor 0 x) (#s(alt (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x) (patch (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 x) (taylor inf x) (#s(alt (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x) (patch (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) (taylor inf x) (#s(alt (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x) (patch (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) (taylor inf x) (#s(alt (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x) (patch (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) (taylor inf x) (#s(alt (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x) (patch (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 x) (taylor -inf x) (#s(alt (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x) (patch (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) (taylor -inf x) (#s(alt (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x) (patch (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) (taylor -inf x) (#s(alt (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x) (patch (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) (taylor -inf x) (#s(alt (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x) (patch (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x) #<representation binary64>) () ())) ()) |
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#s(alt (+ 1 (* x (+ 3 x))) (taylor 0 x) (#s(alt #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) #s(literal 1 binary64)) (patch #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* x (+ 3 (* x (+ 1 (* 3 x)))))) (taylor 0 x) (#s(alt #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) #s(literal 1 binary64)) (patch #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ -3 x) (taylor inf x) (#s(alt #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) #s(literal 1 binary64)) (patch #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ 3 (/ 1 x)) x)) (taylor inf x) (#s(alt #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) #s(literal 1 binary64)) (patch #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (+ 3 (/ 1 x))) (taylor -inf x) (#s(alt (*.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x)))) (patch (*.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x)))) #<representation binary64>) () ())) ()) |
#s(alt (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) (taylor -inf x) (#s(alt (*.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x)))) (patch (*.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x)))) #<representation binary64>) () ())) ()) |
#s(alt (- (* -1 (/ (+ 1 (+ (* 3 (/ 1 x)) (/ 1 (pow x 2)))) x)) 3) (taylor -inf x) (#s(alt (*.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x)))) (patch (*.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x)))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 x) (taylor 0 x) (#s(alt (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) x)) (patch (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 1 (* 3 x)) x) (taylor 0 x) (#s(alt (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) x)) (patch (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 1 (* 3 x)) x) (taylor 0 x) (#s(alt (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) x)) (patch (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 1 (* 3 x)) x) (taylor 0 x) (#s(alt (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) x)) (patch (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt 3 (taylor inf x) (#s(alt (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) x)) (patch (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ 3 (/ 1 x)) (taylor inf x) (#s(alt (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) x)) (patch (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ 3 (/ 1 x)) (taylor inf x) (#s(alt (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) x)) (patch (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ 3 (/ 1 x)) (taylor inf x) (#s(alt (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) x)) (patch (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt 3 (taylor -inf x) (#s(alt (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) x)) (patch (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ 3 (/ 1 x)) (taylor -inf x) (#s(alt (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) x)) (patch (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ 3 (/ 1 x)) (taylor -inf x) (#s(alt (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) x)) (patch (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ 3 (/ 1 x)) (taylor -inf x) (#s(alt (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) x)) (patch (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 (pow x 2)) (taylor 0 x) (#s(alt (/.f64 #s(literal -1 binary64) (*.f64 x x)) (patch (/.f64 #s(literal -1 binary64) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 (pow x 2)) (taylor 0 x) (#s(alt (/.f64 #s(literal -1 binary64) (*.f64 x x)) (patch (/.f64 #s(literal -1 binary64) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 (pow x 2)) (taylor 0 x) (#s(alt (/.f64 #s(literal -1 binary64) (*.f64 x x)) (patch (/.f64 #s(literal -1 binary64) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 (pow x 2)) (taylor 0 x) (#s(alt (/.f64 #s(literal -1 binary64) (*.f64 x x)) (patch (/.f64 #s(literal -1 binary64) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 (pow x 2)) (taylor inf x) (#s(alt (/.f64 #s(literal -1 binary64) (*.f64 x x)) (patch (/.f64 #s(literal -1 binary64) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 (pow x 2)) (taylor inf x) (#s(alt (/.f64 #s(literal -1 binary64) (*.f64 x x)) (patch (/.f64 #s(literal -1 binary64) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 (pow x 2)) (taylor inf x) (#s(alt (/.f64 #s(literal -1 binary64) (*.f64 x x)) (patch (/.f64 #s(literal -1 binary64) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 (pow x 2)) (taylor inf x) (#s(alt (/.f64 #s(literal -1 binary64) (*.f64 x x)) (patch (/.f64 #s(literal -1 binary64) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal -1 binary64) (*.f64 x x)) (patch (/.f64 #s(literal -1 binary64) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal -1 binary64) (*.f64 x x)) (patch (/.f64 #s(literal -1 binary64) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal -1 binary64) (*.f64 x x)) (patch (/.f64 #s(literal -1 binary64) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal -1 binary64) (*.f64 x x)) (patch (/.f64 #s(literal -1 binary64) (*.f64 x x)) #<representation binary64>) () ())) ()) |
51 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | (/ (+ -3 (/ (+ -1 (/ -3 x)) x)) x) |
| 0.0ms | x | @ | 0 | (/ (+ -3 (/ (+ -1 (/ -3 x)) x)) x) |
| 0.0ms | x | @ | 0 | (/ -1 (* x x)) |
| 0.0ms | x | @ | inf | (/ (+ -3 (/ (+ -1 (/ -3 x)) x)) x) |
| 0.0ms | x | @ | 0 | (/ (+ -1 (/ -3 x)) x) |
| 1× | egg-herbie |
| 14 990× | lower-fma.f64 |
| 14 990× | lower-fma.f32 |
| 3 192× | lower-*.f64 |
| 3 192× | lower-*.f32 |
| 2 012× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 98 | 1521 |
| 1 | 283 | 1459 |
| 2 | 819 | 1348 |
| 3 | 3295 | 1340 |
| 4 | 7246 | 1340 |
| 0 | 8080 | 1260 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
1 |
(+ 1 (* 3 x)) |
(+ 1 (* x (+ 3 x))) |
(+ 1 (* x (+ 3 (* x (+ 1 (* 3 x)))))) |
(/ -3 x) |
(* -1 (/ (+ 3 (/ 1 x)) x)) |
(/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x) |
(/ (- (* -1 (/ (+ 3 (/ 1 x)) (pow x 2))) (+ 3 (/ 1 x))) x) |
(/ -3 x) |
(* -1 (/ (+ 3 (/ 1 x)) x)) |
(* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x)) |
(* -1 (/ (+ 3 (* -1 (/ (- (* -1 (/ (+ 3 (/ 1 x)) x)) 1) x))) x)) |
(/ -3 (pow x 3)) |
(/ (- (* -1 x) 3) (pow x 3)) |
(/ (- (* x (- (* -3 x) 1)) 3) (pow x 3)) |
(/ (- (* x (- (* -3 x) 1)) 3) (pow x 3)) |
(/ -3 x) |
(* -1 (/ (+ 3 (/ 1 x)) x)) |
(/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x) |
(/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x) |
(/ -3 x) |
(* -1 (/ (+ 3 (/ 1 x)) x)) |
(* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x)) |
(* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x)) |
(/ -3 (pow x 2)) |
(/ (- (* -1 x) 3) (pow x 2)) |
(/ (- (* x (- (* -3 x) 1)) 3) (pow x 2)) |
(/ (- (* x (- (* -3 x) 1)) 3) (pow x 2)) |
-3 |
(* -1 (+ 3 (/ 1 x))) |
(- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) |
(- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) |
-3 |
(* -1 (+ 3 (/ 1 x))) |
(- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) |
(- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) |
(/ -3 (pow x 2)) |
(/ (- (* -1 x) 3) (pow x 2)) |
(/ (- (* -1 x) 3) (pow x 2)) |
(/ (- (* -1 x) 3) (pow x 2)) |
(/ -1 x) |
(* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) |
(* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) |
(* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) |
(/ -1 x) |
(* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) |
(* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) |
(* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) |
1 |
(+ 1 (* 3 x)) |
(+ 1 (* x (+ 3 x))) |
(+ 1 (* x (+ 3 (* x (+ 1 (* 3 x)))))) |
(/ -3 x) |
(* -1 (/ (+ 3 (/ 1 x)) x)) |
(/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x) |
(/ (- (* -1 (/ (+ 3 (/ 1 x)) (pow x 2))) (+ 3 (/ 1 x))) x) |
(/ -3 x) |
(* -1 (/ (+ 3 (/ 1 x)) x)) |
(* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x)) |
(* -1 (/ (+ 3 (* -1 (/ (- (* -1 (/ (+ 3 (/ 1 x)) x)) 1) x))) x)) |
1 |
(+ 1 (* 3 x)) |
(+ 1 (* x (+ 3 x))) |
(+ 1 (* x (+ 3 (* x (+ 1 (* 3 x)))))) |
(/ -3 x) |
(* -1 (/ (+ 3 (/ 1 x)) x)) |
(/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x) |
(/ (- (* -1 (/ (+ 3 (/ 1 x)) (pow x 2))) (+ 3 (/ 1 x))) x) |
(/ -3 x) |
(* -1 (/ (+ 3 (/ 1 x)) x)) |
(* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x)) |
(* -1 (/ (+ 3 (* -1 (/ (- (* -1 (/ (+ 3 (/ 1 x)) x)) 1) x))) x)) |
1 |
(+ 1 (* 3 x)) |
(+ 1 (* x (+ 3 x))) |
(+ 1 (* x (+ 3 x))) |
(pow x 2) |
(* (pow x 2) (+ 1 (* 3 (/ 1 x)))) |
(* (pow x 2) (+ 1 (+ (* 3 (/ 1 x)) (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1 (+ (* 3 (/ 1 x)) (/ 1 (pow x 2))))) |
(pow x 2) |
(* (pow x 2) (+ 1 (* 3 (/ 1 x)))) |
(* (pow x 2) (+ 1 (+ (* 3 (/ 1 x)) (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1 (+ (* 3 (/ 1 x)) (/ 1 (pow x 2))))) |
3 |
(+ 3 x) |
(+ 3 x) |
(+ 3 x) |
x |
(* x (+ 1 (* 3 (/ 1 x)))) |
(* x (+ 1 (* 3 (/ 1 x)))) |
(* x (+ 1 (* 3 (/ 1 x)))) |
x |
(* x (+ 1 (* 3 (/ 1 x)))) |
(* x (+ 1 (* 3 (/ 1 x)))) |
(* x (+ 1 (* 3 (/ 1 x)))) |
1 |
(+ 1 (* 3 x)) |
(+ 1 (* x (+ 3 x))) |
(+ 1 (* x (+ 3 (* x (+ 1 (* 3 x)))))) |
(/ -3 x) |
(* -1 (/ (+ 3 (/ 1 x)) x)) |
(/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x) |
(/ (- (* -1 (/ (+ 3 (/ 1 x)) (pow x 2))) (+ 3 (/ 1 x))) x) |
(/ -3 x) |
(* -1 (/ (+ 3 (/ 1 x)) x)) |
(* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x)) |
(* -1 (/ (+ 3 (* -1 (/ (- (* -1 (/ (+ 3 (/ 1 x)) x)) 1) x))) x)) |
1 |
(+ 1 (* 3 x)) |
(+ 1 (* x (+ 3 x))) |
(+ 1 (* x (+ 3 (* x (+ 1 (* 3 x)))))) |
(* 3 (pow x 3)) |
(* (pow x 3) (+ 3 (/ 1 x))) |
(* (pow x 3) (+ 3 (+ (/ 1 x) (/ 3 (pow x 2))))) |
(* (pow x 3) (+ 3 (+ (/ 1 x) (+ (/ 1 (pow x 3)) (/ 3 (pow x 2)))))) |
(* 3 (pow x 3)) |
(* (pow x 3) (+ 3 (/ 1 x))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1 (+ (* 3 (/ 1 x)) (/ 1 (pow x 2)))) x)) 3))) |
1 |
(+ 1 (* 3 x)) |
(+ 1 (* 3 x)) |
(+ 1 (* 3 x)) |
(* 3 x) |
(* x (+ 3 (/ 1 x))) |
(* x (+ 3 (/ 1 x))) |
(* x (+ 3 (/ 1 x))) |
(* 3 x) |
(* x (+ 3 (/ 1 x))) |
(* x (+ 3 (/ 1 x))) |
(* x (+ 3 (/ 1 x))) |
1 |
(+ 1 (pow x 2)) |
(+ 1 (pow x 2)) |
(+ 1 (pow x 2)) |
(pow x 2) |
(* (pow x 2) (+ 1 (/ 1 (pow x 2)))) |
(* (pow x 2) (+ 1 (/ 1 (pow x 2)))) |
(* (pow x 2) (+ 1 (/ 1 (pow x 2)))) |
(pow x 2) |
(* (pow x 2) (+ 1 (/ 1 (pow x 2)))) |
(* (pow x 2) (+ 1 (/ 1 (pow x 2)))) |
(* (pow x 2) (+ 1 (/ 1 (pow x 2)))) |
1 |
(+ 1 (* 3 x)) |
(+ 1 (* x (+ 3 x))) |
(+ 1 (* x (+ 3 (* x (+ 1 (* 3 x)))))) |
(/ -3 x) |
(* -1 (/ (+ 3 (/ 1 x)) x)) |
(/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x) |
(/ (- (* -1 (/ (+ 3 (/ 1 x)) (pow x 2))) (+ 3 (/ 1 x))) x) |
(/ -3 x) |
(* -1 (/ (+ 3 (/ 1 x)) x)) |
(* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x)) |
(* -1 (/ (+ 3 (* -1 (/ (- (* -1 (/ (+ 3 (/ 1 x)) x)) 1) x))) x)) |
(/ -1 (pow x 4)) |
(/ (- (* -3 x) 1) (pow x 4)) |
(/ (- (* x (- (* -1 x) 3)) 1) (pow x 4)) |
(/ (- (* x (- (* x (- (* -3 x) 1)) 3)) 1) (pow x 4)) |
(/ -3 x) |
(* -1 (/ (+ 3 (/ 1 x)) x)) |
(/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x) |
(/ (- (* -1 (/ (+ 3 (/ 1 x)) (pow x 2))) (+ 3 (/ 1 x))) x) |
(/ -3 x) |
(* -1 (/ (+ 3 (/ 1 x)) x)) |
(* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x)) |
(* -1 (/ (+ 3 (* -1 (/ (- (* -1 (/ (+ 3 (/ 1 x)) x)) 1) x))) x)) |
(/ -1 (pow x 3)) |
(/ (- (* -3 x) 1) (pow x 3)) |
(/ (- (* x (- (* -1 x) 3)) 1) (pow x 3)) |
(/ (- (* x (- (* x (- (* -3 x) 1)) 3)) 1) (pow x 3)) |
-3 |
(* -1 (+ 3 (/ 1 x))) |
(- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) |
(- (* -1 (/ (+ 3 (/ 1 x)) (pow x 2))) (+ 3 (/ 1 x))) |
-3 |
(* -1 (+ 3 (/ 1 x))) |
(- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) |
(- (* -1 (/ (+ 1 (+ (* 3 (/ 1 x)) (/ 1 (pow x 2)))) x)) 3) |
(/ 1 x) |
(/ (+ 1 (* 3 x)) x) |
(/ (+ 1 (* 3 x)) x) |
(/ (+ 1 (* 3 x)) x) |
3 |
(+ 3 (/ 1 x)) |
(+ 3 (/ 1 x)) |
(+ 3 (/ 1 x)) |
3 |
(+ 3 (/ 1 x)) |
(+ 3 (/ 1 x)) |
(+ 3 (/ 1 x)) |
(/ -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)) |
| Outputs |
|---|
1 |
#s(literal 1 binary64) |
(+ 1 (* 3 x)) |
(fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) |
(+ 1 (* x (+ 3 x))) |
(fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 1 binary64)) |
(+ 1 (* x (+ 3 (* x (+ 1 (* 3 x)))))) |
(*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))) |
(/ -3 x) |
(/.f64 #s(literal -3 binary64) x) |
(* -1 (/ (+ 3 (/ 1 x)) x)) |
(/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x x)) |
(/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x) |
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x))) x) |
(/ (- (* -1 (/ (+ 3 (/ 1 x)) (pow x 2))) (+ 3 (/ 1 x))) x) |
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (fma.f64 x (-.f64 #s(literal -3 binary64) x) #s(literal -1 binary64)) (*.f64 x (*.f64 x x)))) x) |
(/ -3 x) |
(/.f64 #s(literal -3 binary64) x) |
(* -1 (/ (+ 3 (/ 1 x)) x)) |
(/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x x)) |
(* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x)) |
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x))) x) |
(* -1 (/ (+ 3 (* -1 (/ (- (* -1 (/ (+ 3 (/ 1 x)) x)) 1) x))) x)) |
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (fma.f64 x (-.f64 #s(literal -3 binary64) x) #s(literal -1 binary64)) (*.f64 x (*.f64 x x)))) x) |
(/ -3 (pow x 3)) |
(/.f64 #s(literal -3 binary64) (*.f64 x (*.f64 x x))) |
(/ (- (* -1 x) 3) (pow x 3)) |
(/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x (*.f64 x x))) |
(/ (- (* x (- (* -3 x) 1)) 3) (pow x 3)) |
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x))) x) |
(/ (- (* x (- (* -3 x) 1)) 3) (pow x 3)) |
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x))) x) |
(/ -3 x) |
(/.f64 #s(literal -3 binary64) x) |
(* -1 (/ (+ 3 (/ 1 x)) x)) |
(/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x x)) |
(/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x) |
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x))) x) |
(/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x) |
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x))) x) |
(/ -3 x) |
(/.f64 #s(literal -3 binary64) x) |
(* -1 (/ (+ 3 (/ 1 x)) x)) |
(/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x x)) |
(* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x)) |
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x))) x) |
(* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x)) |
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x))) x) |
(/ -3 (pow x 2)) |
(/.f64 #s(literal -3 binary64) (*.f64 x x)) |
(/ (- (* -1 x) 3) (pow x 2)) |
(/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x)) |
(/ (- (* x (- (* -3 x) 1)) 3) (pow x 2)) |
(+.f64 #s(literal -3 binary64) (/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x))) |
(/ (- (* x (- (* -3 x) 1)) 3) (pow x 2)) |
(+.f64 #s(literal -3 binary64) (/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x))) |
-3 |
#s(literal -3 binary64) |
(* -1 (+ 3 (/ 1 x))) |
(-.f64 #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) x)) |
(- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) |
(+.f64 #s(literal -3 binary64) (/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x))) |
(- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) |
(+.f64 #s(literal -3 binary64) (/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x))) |
-3 |
#s(literal -3 binary64) |
(* -1 (+ 3 (/ 1 x))) |
(-.f64 #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) x)) |
(- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) |
(+.f64 #s(literal -3 binary64) (/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x))) |
(- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) |
(+.f64 #s(literal -3 binary64) (/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x))) |
(/ -3 (pow x 2)) |
(/.f64 #s(literal -3 binary64) (*.f64 x x)) |
(/ (- (* -1 x) 3) (pow x 2)) |
(/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x)) |
(/ (- (* -1 x) 3) (pow x 2)) |
(/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x)) |
(/ (- (* -1 x) 3) (pow x 2)) |
(/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x)) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) |
(/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x)) |
(* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) |
(/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x)) |
(* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) |
(/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x)) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) |
(/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x)) |
(* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) |
(/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x)) |
(* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) |
(/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 3 x)) |
(fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) |
(+ 1 (* x (+ 3 x))) |
(fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 1 binary64)) |
(+ 1 (* x (+ 3 (* x (+ 1 (* 3 x)))))) |
(*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))) |
(/ -3 x) |
(/.f64 #s(literal -3 binary64) x) |
(* -1 (/ (+ 3 (/ 1 x)) x)) |
(/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x x)) |
(/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x) |
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x))) x) |
(/ (- (* -1 (/ (+ 3 (/ 1 x)) (pow x 2))) (+ 3 (/ 1 x))) x) |
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (fma.f64 x (-.f64 #s(literal -3 binary64) x) #s(literal -1 binary64)) (*.f64 x (*.f64 x x)))) x) |
(/ -3 x) |
(/.f64 #s(literal -3 binary64) x) |
(* -1 (/ (+ 3 (/ 1 x)) x)) |
(/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x x)) |
(* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x)) |
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x))) x) |
(* -1 (/ (+ 3 (* -1 (/ (- (* -1 (/ (+ 3 (/ 1 x)) x)) 1) x))) x)) |
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (fma.f64 x (-.f64 #s(literal -3 binary64) x) #s(literal -1 binary64)) (*.f64 x (*.f64 x x)))) x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 3 x)) |
(fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) |
(+ 1 (* x (+ 3 x))) |
(fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 1 binary64)) |
(+ 1 (* x (+ 3 (* x (+ 1 (* 3 x)))))) |
(*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))) |
(/ -3 x) |
(/.f64 #s(literal -3 binary64) x) |
(* -1 (/ (+ 3 (/ 1 x)) x)) |
(/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x x)) |
(/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x) |
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x))) x) |
(/ (- (* -1 (/ (+ 3 (/ 1 x)) (pow x 2))) (+ 3 (/ 1 x))) x) |
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (fma.f64 x (-.f64 #s(literal -3 binary64) x) #s(literal -1 binary64)) (*.f64 x (*.f64 x x)))) x) |
(/ -3 x) |
(/.f64 #s(literal -3 binary64) x) |
(* -1 (/ (+ 3 (/ 1 x)) x)) |
(/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x x)) |
(* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x)) |
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x))) x) |
(* -1 (/ (+ 3 (* -1 (/ (- (* -1 (/ (+ 3 (/ 1 x)) x)) 1) x))) x)) |
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (fma.f64 x (-.f64 #s(literal -3 binary64) x) #s(literal -1 binary64)) (*.f64 x (*.f64 x x)))) x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 3 x)) |
(fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) |
(+ 1 (* x (+ 3 x))) |
(fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 1 binary64)) |
(+ 1 (* x (+ 3 x))) |
(fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 1 binary64)) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (* 3 (/ 1 x)))) |
(*.f64 x (+.f64 #s(literal 3 binary64) x)) |
(* (pow x 2) (+ 1 (+ (* 3 (/ 1 x)) (/ 1 (pow x 2))))) |
(fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 1 binary64)) |
(* (pow x 2) (+ 1 (+ (* 3 (/ 1 x)) (/ 1 (pow x 2))))) |
(fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 1 binary64)) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (* 3 (/ 1 x)))) |
(*.f64 x (+.f64 #s(literal 3 binary64) x)) |
(* (pow x 2) (+ 1 (+ (* 3 (/ 1 x)) (/ 1 (pow x 2))))) |
(fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 1 binary64)) |
(* (pow x 2) (+ 1 (+ (* 3 (/ 1 x)) (/ 1 (pow x 2))))) |
(fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 1 binary64)) |
3 |
#s(literal 3 binary64) |
(+ 3 x) |
(+.f64 #s(literal 3 binary64) x) |
(+ 3 x) |
(+.f64 #s(literal 3 binary64) x) |
(+ 3 x) |
(+.f64 #s(literal 3 binary64) x) |
x |
(* x (+ 1 (* 3 (/ 1 x)))) |
(+.f64 #s(literal 3 binary64) x) |
(* x (+ 1 (* 3 (/ 1 x)))) |
(+.f64 #s(literal 3 binary64) x) |
(* x (+ 1 (* 3 (/ 1 x)))) |
(+.f64 #s(literal 3 binary64) x) |
x |
(* x (+ 1 (* 3 (/ 1 x)))) |
(+.f64 #s(literal 3 binary64) x) |
(* x (+ 1 (* 3 (/ 1 x)))) |
(+.f64 #s(literal 3 binary64) x) |
(* x (+ 1 (* 3 (/ 1 x)))) |
(+.f64 #s(literal 3 binary64) x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 3 x)) |
(fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) |
(+ 1 (* x (+ 3 x))) |
(fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 1 binary64)) |
(+ 1 (* x (+ 3 (* x (+ 1 (* 3 x)))))) |
(*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))) |
(/ -3 x) |
(/.f64 #s(literal -3 binary64) x) |
(* -1 (/ (+ 3 (/ 1 x)) x)) |
(/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x x)) |
(/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x) |
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x))) x) |
(/ (- (* -1 (/ (+ 3 (/ 1 x)) (pow x 2))) (+ 3 (/ 1 x))) x) |
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (fma.f64 x (-.f64 #s(literal -3 binary64) x) #s(literal -1 binary64)) (*.f64 x (*.f64 x x)))) x) |
(/ -3 x) |
(/.f64 #s(literal -3 binary64) x) |
(* -1 (/ (+ 3 (/ 1 x)) x)) |
(/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x x)) |
(* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x)) |
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x))) x) |
(* -1 (/ (+ 3 (* -1 (/ (- (* -1 (/ (+ 3 (/ 1 x)) x)) 1) x))) x)) |
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (fma.f64 x (-.f64 #s(literal -3 binary64) x) #s(literal -1 binary64)) (*.f64 x (*.f64 x x)))) x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 3 x)) |
(fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) |
(+ 1 (* x (+ 3 x))) |
(fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 1 binary64)) |
(+ 1 (* x (+ 3 (* x (+ 1 (* 3 x)))))) |
(*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))) |
(* 3 (pow x 3)) |
(*.f64 #s(literal 3 binary64) (*.f64 x (*.f64 x x))) |
(* (pow x 3) (+ 3 (/ 1 x))) |
(*.f64 x (fma.f64 #s(literal 3 binary64) (*.f64 x x) x)) |
(* (pow x 3) (+ 3 (+ (/ 1 x) (/ 3 (pow x 2))))) |
(*.f64 x (fma.f64 x (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) #s(literal 3 binary64))) |
(* (pow x 3) (+ 3 (+ (/ 1 x) (+ (/ 1 (pow x 3)) (/ 3 (pow x 2)))))) |
(*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))) |
(* 3 (pow x 3)) |
(*.f64 #s(literal 3 binary64) (*.f64 x (*.f64 x x))) |
(* (pow x 3) (+ 3 (/ 1 x))) |
(*.f64 x (fma.f64 #s(literal 3 binary64) (*.f64 x x) x)) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3))) |
(*.f64 x (fma.f64 x (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) #s(literal 3 binary64))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1 (+ (* 3 (/ 1 x)) (/ 1 (pow x 2)))) x)) 3))) |
(*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 3 x)) |
(fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) |
(+ 1 (* 3 x)) |
(fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) |
(+ 1 (* 3 x)) |
(fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) |
(* 3 x) |
(*.f64 #s(literal 3 binary64) x) |
(* x (+ 3 (/ 1 x))) |
(fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) |
(* x (+ 3 (/ 1 x))) |
(fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) |
(* x (+ 3 (/ 1 x))) |
(fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) |
(* 3 x) |
(*.f64 #s(literal 3 binary64) x) |
(* x (+ 3 (/ 1 x))) |
(fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) |
(* x (+ 3 (/ 1 x))) |
(fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) |
(* x (+ 3 (/ 1 x))) |
(fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (pow x 2)) |
(fma.f64 x x #s(literal 1 binary64)) |
(+ 1 (pow x 2)) |
(fma.f64 x x #s(literal 1 binary64)) |
(+ 1 (pow x 2)) |
(fma.f64 x x #s(literal 1 binary64)) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (/ 1 (pow x 2)))) |
(fma.f64 x x #s(literal 1 binary64)) |
(* (pow x 2) (+ 1 (/ 1 (pow x 2)))) |
(fma.f64 x x #s(literal 1 binary64)) |
(* (pow x 2) (+ 1 (/ 1 (pow x 2)))) |
(fma.f64 x x #s(literal 1 binary64)) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (/ 1 (pow x 2)))) |
(fma.f64 x x #s(literal 1 binary64)) |
(* (pow x 2) (+ 1 (/ 1 (pow x 2)))) |
(fma.f64 x x #s(literal 1 binary64)) |
(* (pow x 2) (+ 1 (/ 1 (pow x 2)))) |
(fma.f64 x x #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 3 x)) |
(fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) |
(+ 1 (* x (+ 3 x))) |
(fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 1 binary64)) |
(+ 1 (* x (+ 3 (* x (+ 1 (* 3 x)))))) |
(*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))) |
(/ -3 x) |
(/.f64 #s(literal -3 binary64) x) |
(* -1 (/ (+ 3 (/ 1 x)) x)) |
(/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x x)) |
(/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x) |
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x))) x) |
(/ (- (* -1 (/ (+ 3 (/ 1 x)) (pow x 2))) (+ 3 (/ 1 x))) x) |
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (fma.f64 x (-.f64 #s(literal -3 binary64) x) #s(literal -1 binary64)) (*.f64 x (*.f64 x x)))) x) |
(/ -3 x) |
(/.f64 #s(literal -3 binary64) x) |
(* -1 (/ (+ 3 (/ 1 x)) x)) |
(/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x x)) |
(* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x)) |
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x))) x) |
(* -1 (/ (+ 3 (* -1 (/ (- (* -1 (/ (+ 3 (/ 1 x)) x)) 1) x))) x)) |
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (fma.f64 x (-.f64 #s(literal -3 binary64) x) #s(literal -1 binary64)) (*.f64 x (*.f64 x x)))) x) |
(/ -1 (pow x 4)) |
(/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x (*.f64 x x)) x)) |
(/ (- (* -3 x) 1) (pow x 4)) |
(/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 (*.f64 x (*.f64 x x)) x)) |
(/ (- (* x (- (* -1 x) 3)) 1) (pow x 4)) |
(/.f64 (fma.f64 x (-.f64 #s(literal -3 binary64) x) #s(literal -1 binary64)) (*.f64 (*.f64 x (*.f64 x x)) x)) |
(/ (- (* x (- (* x (- (* -3 x) 1)) 3)) 1) (pow x 4)) |
(/.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))) (*.f64 (*.f64 x (*.f64 x x)) x)) |
(/ -3 x) |
(/.f64 #s(literal -3 binary64) x) |
(* -1 (/ (+ 3 (/ 1 x)) x)) |
(/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x x)) |
(/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x) |
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x))) x) |
(/ (- (* -1 (/ (+ 3 (/ 1 x)) (pow x 2))) (+ 3 (/ 1 x))) x) |
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (fma.f64 x (-.f64 #s(literal -3 binary64) x) #s(literal -1 binary64)) (*.f64 x (*.f64 x x)))) x) |
(/ -3 x) |
(/.f64 #s(literal -3 binary64) x) |
(* -1 (/ (+ 3 (/ 1 x)) x)) |
(/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x x)) |
(* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x)) |
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x))) x) |
(* -1 (/ (+ 3 (* -1 (/ (- (* -1 (/ (+ 3 (/ 1 x)) x)) 1) x))) x)) |
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (fma.f64 x (-.f64 #s(literal -3 binary64) x) #s(literal -1 binary64)) (*.f64 x (*.f64 x x)))) x) |
(/ -1 (pow x 3)) |
(/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x))) |
(/ (- (* -3 x) 1) (pow x 3)) |
(/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x (*.f64 x x))) |
(/ (- (* x (- (* -1 x) 3)) 1) (pow x 3)) |
(/.f64 (fma.f64 x (-.f64 #s(literal -3 binary64) x) #s(literal -1 binary64)) (*.f64 x (*.f64 x x))) |
(/ (- (* x (- (* x (- (* -3 x) 1)) 3)) 1) (pow x 3)) |
(+.f64 #s(literal -3 binary64) (/.f64 (fma.f64 x (-.f64 #s(literal -3 binary64) x) #s(literal -1 binary64)) (*.f64 x (*.f64 x x)))) |
-3 |
#s(literal -3 binary64) |
(* -1 (+ 3 (/ 1 x))) |
(-.f64 #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) x)) |
(- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) |
(+.f64 #s(literal -3 binary64) (/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x))) |
(- (* -1 (/ (+ 3 (/ 1 x)) (pow x 2))) (+ 3 (/ 1 x))) |
(+.f64 #s(literal -3 binary64) (/.f64 (fma.f64 x (-.f64 #s(literal -3 binary64) x) #s(literal -1 binary64)) (*.f64 x (*.f64 x x)))) |
-3 |
#s(literal -3 binary64) |
(* -1 (+ 3 (/ 1 x))) |
(-.f64 #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) x)) |
(- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) |
(+.f64 #s(literal -3 binary64) (/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x))) |
(- (* -1 (/ (+ 1 (+ (* 3 (/ 1 x)) (/ 1 (pow x 2)))) x)) 3) |
(+.f64 #s(literal -3 binary64) (/.f64 (fma.f64 x (-.f64 #s(literal -3 binary64) x) #s(literal -1 binary64)) (*.f64 x (*.f64 x x)))) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ (+ 1 (* 3 x)) x) |
(+.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) x)) |
(/ (+ 1 (* 3 x)) x) |
(+.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) x)) |
(/ (+ 1 (* 3 x)) x) |
(+.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) x)) |
3 |
#s(literal 3 binary64) |
(+ 3 (/ 1 x)) |
(+.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) x)) |
(+ 3 (/ 1 x)) |
(+.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) x)) |
(+ 3 (/ 1 x)) |
(+.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) x)) |
3 |
#s(literal 3 binary64) |
(+ 3 (/ 1 x)) |
(+.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) x)) |
(+ 3 (/ 1 x)) |
(+.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) x)) |
(+ 3 (/ 1 x)) |
(+.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) x)) |
(/ -1 (pow x 2)) |
(/.f64 #s(literal -1 binary64) (*.f64 x x)) |
(/ -1 (pow x 2)) |
(/.f64 #s(literal -1 binary64) (*.f64 x x)) |
(/ -1 (pow x 2)) |
(/.f64 #s(literal -1 binary64) (*.f64 x x)) |
(/ -1 (pow x 2)) |
(/.f64 #s(literal -1 binary64) (*.f64 x x)) |
(/ -1 (pow x 2)) |
(/.f64 #s(literal -1 binary64) (*.f64 x x)) |
(/ -1 (pow x 2)) |
(/.f64 #s(literal -1 binary64) (*.f64 x x)) |
(/ -1 (pow x 2)) |
(/.f64 #s(literal -1 binary64) (*.f64 x x)) |
(/ -1 (pow x 2)) |
(/.f64 #s(literal -1 binary64) (*.f64 x x)) |
(/ -1 (pow x 2)) |
(/.f64 #s(literal -1 binary64) (*.f64 x x)) |
(/ -1 (pow x 2)) |
(/.f64 #s(literal -1 binary64) (*.f64 x x)) |
(/ -1 (pow x 2)) |
(/.f64 #s(literal -1 binary64) (*.f64 x x)) |
(/ -1 (pow x 2)) |
(/.f64 #s(literal -1 binary64) (*.f64 x x)) |
| 5 456× | lower-fma.f32 |
| 5 450× | lower-fma.f64 |
| 5 310× | lower-/.f32 |
| 5 298× | lower-/.f64 |
| 3 998× | lower-*.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 203 |
| 0 | 51 | 203 |
| 1 | 252 | 199 |
| 2 | 2403 | 199 |
| 0 | 8798 | 199 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)) x)) |
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)) x) |
(+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)) |
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x) |
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) #s(literal 1 binary64)) |
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 1 binary64))) |
(fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 1 binary64)) |
(+.f64 #s(literal 3 binary64) x) |
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))) |
(*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))) |
(fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) |
(fma.f64 x x #s(literal 1 binary64)) |
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (*.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x)))) x)) |
(/.f64 (*.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x)))) x) |
(*.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x)))) |
(+.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal -1 binary64) (*.f64 x x)) |
| Outputs |
|---|
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)) x)) |
(exp.f64 (*.f64 (log.f64 (/.f64 x (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)))) #s(literal -1 binary64))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 x)) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)) (neg.f64 x))) |
(-.f64 (/.f64 (/.f64 #s(literal 9 binary64) (-.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x))) x) (/.f64 (/.f64 (/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x))) (*.f64 x x)) (-.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x))) x)) |
(-.f64 (/.f64 #s(literal 9 binary64) (*.f64 x (-.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)))) (/.f64 (/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x))) (*.f64 x x)) (*.f64 x (-.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x))))) |
(neg.f64 (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)) (neg.f64 x))) |
(neg.f64 (/.f64 (neg.f64 (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x))) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 x (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 x (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 x (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x))) #s(literal 1 binary64)))) |
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)) x) |
(/.f64 (neg.f64 (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x))) (neg.f64 x)) |
(/.f64 (+.f64 #s(literal -27 binary64) (/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)))) (*.f64 x (*.f64 x x)))) (*.f64 x (fma.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x) (-.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x) #s(literal -3 binary64)) #s(literal 9 binary64)))) |
(/.f64 (-.f64 #s(literal 9 binary64) (/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x))) (*.f64 x x))) (*.f64 x (-.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)))) |
(/.f64 (*.f64 (+.f64 #s(literal -27 binary64) (/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)))) (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)) (*.f64 (fma.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x) (-.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x) #s(literal -3 binary64)) #s(literal 9 binary64)) x)) |
(/.f64 (*.f64 (+.f64 #s(literal -27 binary64) (/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)))) (*.f64 x (*.f64 x x)))) #s(literal -1 binary64)) (*.f64 (fma.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x) (-.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x) #s(literal -3 binary64)) #s(literal 9 binary64)) (neg.f64 x))) |
(/.f64 (*.f64 (-.f64 #s(literal 9 binary64) (/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x))) (*.f64 x x))) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)) x)) |
(/.f64 (*.f64 (-.f64 #s(literal 9 binary64) (/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x))) (*.f64 x x))) #s(literal -1 binary64)) (*.f64 (-.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)) (neg.f64 x))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)))) (neg.f64 (neg.f64 x))) |
(/.f64 (neg.f64 (+.f64 #s(literal -27 binary64) (/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)))) (*.f64 x (*.f64 x x))))) (neg.f64 (*.f64 x (fma.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x) (-.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x) #s(literal -3 binary64)) #s(literal 9 binary64))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 9 binary64) (/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x))) (*.f64 x x)))) (neg.f64 (*.f64 x (-.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x))))) |
(/.f64 (*.f64 (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)) #s(literal 1 binary64)) x) |
(/.f64 (*.f64 (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)) #s(literal -1 binary64)) (neg.f64 x)) |
(/.f64 (*.f64 (+.f64 #s(literal -27 binary64) (/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)))) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) x)) (fma.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x) (-.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x) #s(literal -3 binary64)) #s(literal 9 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 9 binary64) (/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x))) (*.f64 x x))) (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x))) |
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal -27 binary64) (/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)))) (*.f64 x (*.f64 x x)))) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x) (-.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x) #s(literal -3 binary64)) #s(literal 9 binary64)) x))) |
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal -27 binary64) (/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)))) (*.f64 x (*.f64 x x)))) #s(literal -1 binary64))) (neg.f64 (*.f64 (fma.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x) (-.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x) #s(literal -3 binary64)) #s(literal 9 binary64)) (neg.f64 x)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 9 binary64) (/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x))) (*.f64 x x))) #s(literal 1 binary64))) (neg.f64 (*.f64 (-.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)) x))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 9 binary64) (/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x))) (*.f64 x x))) #s(literal -1 binary64))) (neg.f64 (*.f64 (-.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)) (neg.f64 x)))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x))))) (neg.f64 (neg.f64 (neg.f64 x)))) |
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)) #s(literal 1 binary64))) (neg.f64 x)) |
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)) #s(literal -1 binary64))) (neg.f64 (neg.f64 x))) |
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal -27 binary64) (/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)))) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) x))) (neg.f64 (fma.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x) (-.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x) #s(literal -3 binary64)) #s(literal 9 binary64)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 9 binary64) (/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x))) (*.f64 x x))) (/.f64 #s(literal 1 binary64) x))) (neg.f64 (-.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)))) |
(pow.f64 (/.f64 x (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 x (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)) x)) |
(*.f64 (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)) x) #s(literal 1 binary64)) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x))) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x))) #s(literal -1 binary64))) |
(*.f64 (neg.f64 (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x))) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (*.f64 (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (pow.f64 (/.f64 x (+.f64 #s(literal -27 binary64) (/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)))) (*.f64 x (*.f64 x x))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x) (-.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x) #s(literal -3 binary64)) #s(literal 9 binary64)))) |
(*.f64 (pow.f64 (/.f64 x (-.f64 #s(literal 9 binary64) (/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x))) (*.f64 x x)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)))) |
(*.f64 (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 (+.f64 #s(literal -27 binary64) (/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)))) (*.f64 x (*.f64 x x)))) x) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x) (-.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x) #s(literal -3 binary64)) #s(literal 9 binary64))) #s(literal 1 binary64))) |
(*.f64 (/.f64 (+.f64 #s(literal -27 binary64) (/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)))) (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x) (-.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x) #s(literal -3 binary64)) #s(literal 9 binary64))) x)) |
(*.f64 (/.f64 (-.f64 #s(literal 9 binary64) (/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x))) (*.f64 x x))) x) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x))) #s(literal 1 binary64))) |
(*.f64 (/.f64 (-.f64 #s(literal 9 binary64) (/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x))) (*.f64 x x))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x))) x)) |
(*.f64 (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x)) |
(+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)) |
(+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x) #s(literal -3 binary64)) |
(-.f64 (/.f64 #s(literal 9 binary64) (-.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x))) (/.f64 (/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x))) (*.f64 x x)) (-.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)))) |
(-.f64 (/.f64 (/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x))) (*.f64 x x)) (-.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x) #s(literal -3 binary64))) (/.f64 #s(literal 9 binary64) (-.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x) #s(literal -3 binary64)))) |
(fma.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x) #s(literal -3 binary64)) |
(fma.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) (/.f64 #s(literal 1 binary64) x) #s(literal -3 binary64)) |
(fma.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x) #s(literal 1 binary64) #s(literal -3 binary64)) |
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(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x #s(literal -1 binary64)) x)) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 x (neg.f64 x))))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 (*.f64 x x) #s(literal -1 binary64))))) |
(/.f64 #s(literal -1 binary64) (*.f64 x x)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x (neg.f64 x)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 x x) #s(literal -1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (/.f64 x #s(literal -1 binary64)) x))) |
(/.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 x)) |
(/.f64 (/.f64 #s(literal -1 binary64) x) x) |
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x)) (neg.f64 (neg.f64 x))) |
(pow.f64 (*.f64 x (neg.f64 x)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (/.f64 x #s(literal -1 binary64)) x) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)) |
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) x)) |
Compiled 15 855 to 1 680 computations (89.4% saved)
14 alts after pruning (10 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 723 | 8 | 731 |
| Fresh | 2 | 2 | 4 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 1 | 1 |
| Total | 727 | 14 | 741 |
| Status | Accuracy | Program |
|---|---|---|
| 47.1% | (fma.f64 (/.f64 x (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (neg.f64 x) #s(literal 1 binary64)))) | |
| ✓ | 49.3% | (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) |
| ✓ | 45.1% | #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 1 binary64))) |
| ▶ | 44.7% | #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 x #s(approx (+ 3 x) #s(literal 3 binary64)) #s(literal 1 binary64))) |
| 28.5% | #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x x))) | |
| 27.0% | #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (fma.f64 x (-.f64 #s(literal -3 binary64) x) #s(literal -1 binary64)) (*.f64 x (*.f64 x x)))) x)) | |
| ▶ | 56.6% | #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x))) x)) |
| ▶ | 55.6% | #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x)) |
| ▶ | 55.9% | #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(approx (+ -3 (/ (+ -1 (/ -3 x)) x)) #s(literal -3 binary64)) x)) |
| 45.1% | #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (+.f64 (*.f64 x (+.f64 x #s(literal 3 binary64))) #s(literal 1 binary64))) | |
| ✓ | 44.6% | #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))) |
| ▶ | 56.3% | #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)))) |
| 11.5% | #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) #s(approx (/ (* (+ 3 (/ 1 x)) (+ -1 (/ -1 (* x x)))) x) (/.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))) (*.f64 (*.f64 x (*.f64 x x)) x)))) | |
| ✓ | 45.8% | #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) #s(literal 1 binary64)) |
Compiled 298 to 170 computations (43% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) x) | |
| cost-diff | 0 | #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)))) | |
| cost-diff | 320 | (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x))) | |
| cost-diff | 384 | (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x) | |
| cost-diff | 0 | (/.f64 #s(literal -1 binary64) x) | |
| cost-diff | 0 | (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) | |
| cost-diff | 0 | #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x)) | |
| cost-diff | 192 | (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x) | |
| cost-diff | 0 | #s(approx (+ -3 (/ (+ -1 (/ -3 x)) x)) #s(literal -3 binary64)) | |
| cost-diff | 0 | (/.f64 #s(approx (+ -3 (/ (+ -1 (/ -3 x)) x)) #s(literal -3 binary64)) x) | |
| cost-diff | 0 | #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(approx (+ -3 (/ (+ -1 (/ -3 x)) x)) #s(literal -3 binary64)) x)) | |
| cost-diff | 0 | #s(approx (+ 3 x) #s(literal 3 binary64)) | |
| cost-diff | 0 | (fma.f64 x #s(approx (+ 3 x) #s(literal 3 binary64)) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 x #s(approx (+ 3 x) #s(literal 3 binary64)) #s(literal 1 binary64))) | |
| cost-diff | 0 | (/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x)) | |
| cost-diff | 0 | (+.f64 #s(literal -3 binary64) (/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x))) | |
| cost-diff | 0 | (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x))) x) | |
| cost-diff | 0 | #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x))) x)) |
| 10 480× | lower-fma.f32 |
| 10 478× | lower-fma.f64 |
| 3 276× | lower-*.f32 |
| 3 272× | lower-*.f64 |
| 1 364× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 38 | 261 |
| 0 | 55 | 257 |
| 1 | 85 | 257 |
| 2 | 130 | 257 |
| 3 | 222 | 257 |
| 4 | 427 | 257 |
| 5 | 912 | 257 |
| 6 | 2029 | 257 |
| 7 | 4551 | 257 |
| 8 | 7750 | 257 |
| 0 | 8081 | 257 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x))) x)) |
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x))) x) |
(+.f64 #s(literal -3 binary64) (/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x))) |
#s(literal -3 binary64) |
(/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x)) |
(-.f64 #s(literal -3 binary64) x) |
x |
(*.f64 x x) |
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 x #s(approx (+ 3 x) #s(literal 3 binary64)) #s(literal 1 binary64))) |
(fma.f64 x #s(approx (+ 3 x) #s(literal 3 binary64)) #s(literal 1 binary64)) |
x |
#s(approx (+ 3 x) #s(literal 3 binary64)) |
#s(literal 3 binary64) |
#s(literal 1 binary64) |
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(approx (+ -3 (/ (+ -1 (/ -3 x)) x)) #s(literal -3 binary64)) x)) |
(/.f64 #s(approx (+ -3 (/ (+ -1 (/ -3 x)) x)) #s(literal -3 binary64)) x) |
#s(approx (+ -3 (/ (+ -1 (/ -3 x)) x)) #s(literal -3 binary64)) |
#s(literal -3 binary64) |
x |
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x)) |
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x) |
(+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) |
#s(literal -3 binary64) |
(/.f64 #s(literal -1 binary64) x) |
#s(literal -1 binary64) |
x |
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)))) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x))) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
(+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)) |
#s(literal -3 binary64) |
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x) |
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) |
#s(literal -1 binary64) |
(/.f64 #s(literal -3 binary64) x) |
| Outputs |
|---|
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x))) x)) |
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (-.f64 #s(literal -3 binary64) (/.f64 (+.f64 x #s(literal 3 binary64)) (*.f64 x x))) x)) |
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x))) x) |
(/.f64 (-.f64 #s(literal -3 binary64) (/.f64 (+.f64 x #s(literal 3 binary64)) (*.f64 x x))) x) |
(+.f64 #s(literal -3 binary64) (/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x))) |
(-.f64 #s(literal -3 binary64) (/.f64 (+.f64 x #s(literal 3 binary64)) (*.f64 x x))) |
#s(literal -3 binary64) |
(/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x)) |
(-.f64 #s(literal -3 binary64) x) |
x |
(*.f64 x x) |
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 x #s(approx (+ 3 x) #s(literal 3 binary64)) #s(literal 1 binary64))) |
(fma.f64 x #s(approx (+ 3 x) #s(literal 3 binary64)) #s(literal 1 binary64)) |
x |
#s(approx (+ 3 x) #s(literal 3 binary64)) |
#s(literal 3 binary64) |
#s(literal 1 binary64) |
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(approx (+ -3 (/ (+ -1 (/ -3 x)) x)) #s(literal -3 binary64)) x)) |
(/.f64 #s(approx (+ -3 (/ (+ -1 (/ -3 x)) x)) #s(literal -3 binary64)) x) |
#s(approx (+ -3 (/ (+ -1 (/ -3 x)) x)) #s(literal -3 binary64)) |
#s(literal -3 binary64) |
x |
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x)) |
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x x))) |
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x) |
(/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x x)) |
(+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) |
#s(literal -3 binary64) |
(/.f64 #s(literal -1 binary64) x) |
#s(literal -1 binary64) |
x |
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)))) |
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (-.f64 #s(literal -3 binary64) (/.f64 (+.f64 x #s(literal 3 binary64)) (*.f64 x x))) x)) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x))) |
(/.f64 (-.f64 #s(literal -3 binary64) (/.f64 (+.f64 x #s(literal 3 binary64)) (*.f64 x x))) x) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
(+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)) |
(-.f64 #s(literal -3 binary64) (/.f64 (+.f64 x #s(literal 3 binary64)) (*.f64 x x))) |
#s(literal -3 binary64) |
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x) |
(/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x)) |
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) |
#s(literal -1 binary64) |
(/.f64 #s(literal -3 binary64) x) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)) | |
| accuracy | 0.07421875 | (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x) | |
| accuracy | 0.21875 | (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x))) | |
| accuracy | 27.78516893295953 | #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)))) | |
| accuracy | 0 | (/.f64 #s(literal -1 binary64) x) | |
| accuracy | 0.00390625 | (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) | |
| accuracy | 0.02734375 | (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x) | |
| accuracy | 28.405398557364848 | #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x)) | |
| accuracy | 0.05078125 | (/.f64 #s(approx (+ -3 (/ (+ -1 (/ -3 x)) x)) #s(literal -3 binary64)) x) | |
| accuracy | 27.78516893295953 | #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(approx (+ -3 (/ (+ -1 (/ -3 x)) x)) #s(literal -3 binary64)) x)) | |
| accuracy | 27.958551410656497 | #s(approx (+ -3 (/ (+ -1 (/ -3 x)) x)) #s(literal -3 binary64)) | |
| accuracy | 0 | (fma.f64 x #s(approx (+ 3 x) #s(literal 3 binary64)) #s(literal 1 binary64)) | |
| accuracy | 34.93172468145289 | #s(approx (+ 3 x) #s(literal 3 binary64)) | |
| accuracy | 35.11209943280984 | #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 x #s(approx (+ 3 x) #s(literal 3 binary64)) #s(literal 1 binary64))) | |
| accuracy | 0 | (*.f64 x x) | |
| accuracy | 0.05078125 | (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x))) x) | |
| accuracy | 17.26538871247112 | (/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x)) | |
| accuracy | 27.78516893295953 | #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x))) x)) |
| 34.0ms | 54× | 2 | valid |
| 27.0ms | 82× | 1 | valid |
| 22.0ms | 120× | 0 | valid |
Compiled 199 to 30 computations (84.9% saved)
adjust: 20.0ms (33.3% of total)ival-div: 19.0ms (31.6% of total)ival-add: 10.0ms (16.6% of total)ival-mult: 6.0ms (10% of total)ival-sub: 5.0ms (8.3% of total)exact: 1.0ms (1.7% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x))) x)) (patch #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x))) x)) #<representation binary64>) () ()) |
#s(alt (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x))) x) (patch (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x))) x) #<representation binary64>) () ()) |
#s(alt (+.f64 #s(literal -3 binary64) (/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x))) (patch (+.f64 #s(literal -3 binary64) (/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x))) #<representation binary64>) () ()) |
#s(alt (/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x)) (patch (/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x)) #<representation binary64>) () ()) |
#s(alt #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 x #s(approx (+ 3 x) #s(literal 3 binary64)) #s(literal 1 binary64))) (patch #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 x #s(approx (+ 3 x) #s(literal 3 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 x #s(approx (+ 3 x) #s(literal 3 binary64)) #s(literal 1 binary64)) (patch (fma.f64 x #s(approx (+ 3 x) #s(literal 3 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (+ 3 x) #s(literal 3 binary64)) (patch #s(approx (+ 3 x) #s(literal 3 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(approx (+ -3 (/ (+ -1 (/ -3 x)) x)) #s(literal -3 binary64)) x)) (patch #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(approx (+ -3 (/ (+ -1 (/ -3 x)) x)) #s(literal -3 binary64)) x)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(approx (+ -3 (/ (+ -1 (/ -3 x)) x)) #s(literal -3 binary64)) x) (patch (/.f64 #s(approx (+ -3 (/ (+ -1 (/ -3 x)) x)) #s(literal -3 binary64)) x) #<representation binary64>) () ()) |
#s(alt #s(approx (+ -3 (/ (+ -1 (/ -3 x)) x)) #s(literal -3 binary64)) (patch #s(approx (+ -3 (/ (+ -1 (/ -3 x)) x)) #s(literal -3 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x) (patch (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x) #<representation binary64>) () ()) |
#s(alt #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x)) (patch #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x)) #<representation binary64>) () ()) |
#s(alt (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) (patch (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal -1 binary64) x) (patch (/.f64 #s(literal -1 binary64) x) #<representation binary64>) () ()) |
#s(alt (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x) (patch (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x))) (patch (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x))) #<representation binary64>) () ()) |
#s(alt #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)))) (patch #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ()) |
#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ()) |
#s(alt (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)) (patch (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)) #<representation binary64>) () ()) |
| Outputs |
|---|
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#s(alt (/ -3 (pow x 2)) (taylor 0 x) (#s(alt (+.f64 #s(literal -3 binary64) (/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x))) (patch (+.f64 #s(literal -3 binary64) (/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x))) #<representation binary64>) () ())) ()) |
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#s(alt (/ (- (* -1 x) 3) (pow x 2)) (taylor 0 x) (#s(alt (/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x)) (patch (/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* -1 x) 3) (pow x 2)) (taylor 0 x) (#s(alt (/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x)) (patch (/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* -1 x) 3) (pow x 2)) (taylor 0 x) (#s(alt (/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x)) (patch (/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x)) #<representation binary64>) () ())) ()) |
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#s(alt 1 (taylor 0 x) (#s(alt #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)))) (patch #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* 3 x)) (taylor 0 x) (#s(alt #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)))) (patch #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* x (+ 3 x))) (taylor 0 x) (#s(alt #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)))) (patch #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* x (+ 3 (* x (+ 1 (* 3 x)))))) (taylor 0 x) (#s(alt #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)))) (patch #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)))) #<representation binary64>) () ())) ()) |
#s(alt (/ -3 x) (taylor inf x) (#s(alt #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)))) (patch #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ 3 (/ 1 x)) x)) (taylor inf x) (#s(alt #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)))) (patch #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x) (taylor inf x) (#s(alt #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)))) (patch #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* -1 (/ (+ 3 (/ 1 x)) (pow x 2))) (+ 3 (/ 1 x))) x) (taylor inf x) (#s(alt #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)))) (patch #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)))) #<representation binary64>) () ())) ()) |
#s(alt (/ -3 x) (taylor -inf x) (#s(alt #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)))) (patch #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ 3 (/ 1 x)) x)) (taylor -inf x) (#s(alt #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)))) (patch #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x)) (taylor -inf x) (#s(alt #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)))) (patch #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ 3 (* -1 (/ (- (* -1 (/ (+ 3 (/ 1 x)) x)) 1) x))) x)) (taylor -inf x) (#s(alt #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)))) (patch #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 x) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 x) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 x) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 x) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 x) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 x) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 x) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 x) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) 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>) () ())) ()) |
#s(alt (/ -3 (pow x 2)) (taylor 0 x) (#s(alt (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)) (patch (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* -1 x) 3) (pow x 2)) (taylor 0 x) (#s(alt (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)) (patch (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* x (- (* -3 x) 1)) 3) (pow x 2)) (taylor 0 x) (#s(alt (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)) (patch (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* x (- (* -3 x) 1)) 3) (pow x 2)) (taylor 0 x) (#s(alt (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)) (patch (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)) #<representation binary64>) () ())) ()) |
#s(alt -3 (taylor inf x) (#s(alt (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)) (patch (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (+ 3 (/ 1 x))) (taylor inf x) (#s(alt (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)) (patch (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)) #<representation binary64>) () ())) ()) |
#s(alt (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) (taylor inf x) (#s(alt (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)) (patch (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)) #<representation binary64>) () ())) ()) |
#s(alt (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) (taylor inf x) (#s(alt (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)) (patch (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)) #<representation binary64>) () ())) ()) |
#s(alt -3 (taylor -inf x) (#s(alt (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)) (patch (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (+ 3 (/ 1 x))) (taylor -inf x) (#s(alt (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)) (patch (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)) #<representation binary64>) () ())) ()) |
#s(alt (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) (taylor -inf x) (#s(alt (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)) (patch (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)) #<representation binary64>) () ())) ()) |
#s(alt (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) (taylor -inf x) (#s(alt (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)) (patch (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)) #<representation binary64>) () ())) ()) |
60 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (/ (- -3 x) (* x x)) |
| 0.0ms | x | @ | -inf | (/ (+ -3 (/ -1 x)) x) |
| 0.0ms | x | @ | inf | (/ (+ -3 (/ (- -3 x) (* x x))) x) |
| 0.0ms | x | @ | inf | (/ (+ -3 (/ -1 x)) x) |
| 0.0ms | x | @ | 0 | (/ (+ -3 (/ -1 x)) x) |
| 1× | egg-herbie |
| 14 678× | lower-fma.f64 |
| 14 678× | lower-fma.f32 |
| 2 532× | lower-*.f64 |
| 2 532× | lower-*.f32 |
| 2 164× | lower--.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 66 | 1694 |
| 1 | 186 | 1624 |
| 2 | 474 | 1482 |
| 3 | 1420 | 1482 |
| 4 | 3278 | 1482 |
| 5 | 6817 | 1482 |
| 0 | 8104 | 1445 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
1 |
(+ 1 (* 3 x)) |
(+ 1 (* x (+ 3 x))) |
(+ 1 (* x (+ 3 (* x (+ 1 (* 3 x)))))) |
(/ -3 x) |
(* -1 (/ (+ 3 (/ 1 x)) x)) |
(/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x) |
(/ (- (* -1 (/ (+ 3 (/ 1 x)) (pow x 2))) (+ 3 (/ 1 x))) x) |
(/ -3 x) |
(* -1 (/ (+ 3 (/ 1 x)) x)) |
(* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x)) |
(* -1 (/ (+ 3 (* -1 (/ (- (* -1 (/ (+ 3 (/ 1 x)) x)) 1) x))) x)) |
(/ -3 (pow x 3)) |
(/ (- (* -1 x) 3) (pow x 3)) |
(/ (- (* x (- (* -3 x) 1)) 3) (pow x 3)) |
(/ (- (* x (- (* -3 x) 1)) 3) (pow x 3)) |
(/ -3 x) |
(* -1 (/ (+ 3 (/ 1 x)) x)) |
(/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x) |
(/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x) |
(/ -3 x) |
(* -1 (/ (+ 3 (/ 1 x)) x)) |
(* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x)) |
(* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x)) |
(/ -3 (pow x 2)) |
(/ (- (* -1 x) 3) (pow x 2)) |
(/ (- (* x (- (* -3 x) 1)) 3) (pow x 2)) |
(/ (- (* x (- (* -3 x) 1)) 3) (pow x 2)) |
-3 |
(* -1 (+ 3 (/ 1 x))) |
(- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) |
(- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) |
-3 |
(* -1 (+ 3 (/ 1 x))) |
(- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) |
(- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) |
(/ -3 (pow x 2)) |
(/ (- (* -1 x) 3) (pow x 2)) |
(/ (- (* -1 x) 3) (pow x 2)) |
(/ (- (* -1 x) 3) (pow x 2)) |
(/ -1 x) |
(* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) |
(* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) |
(* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) |
(/ -1 x) |
(* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) |
(* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) |
(* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) |
1 |
(+ 1 (* 3 x)) |
(+ 1 (* x (+ 3 x))) |
(+ 1 (* x (+ 3 (* x (+ 1 (* 3 x)))))) |
(/ -3 x) |
(* -1 (/ (+ 3 (/ 1 x)) x)) |
(/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x) |
(/ (- (* -1 (/ (+ 3 (/ 1 x)) (pow x 2))) (+ 3 (/ 1 x))) x) |
(/ -3 x) |
(* -1 (/ (+ 3 (/ 1 x)) x)) |
(* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x)) |
(* -1 (/ (+ 3 (* -1 (/ (- (* -1 (/ (+ 3 (/ 1 x)) x)) 1) x))) x)) |
1 |
(+ 1 (* 3 x)) |
(+ 1 (* x (+ 3 x))) |
(+ 1 (* x (+ 3 x))) |
(pow x 2) |
(* (pow x 2) (+ 1 (* 3 (/ 1 x)))) |
(* (pow x 2) (+ 1 (+ (* 3 (/ 1 x)) (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1 (+ (* 3 (/ 1 x)) (/ 1 (pow x 2))))) |
(pow x 2) |
(* (pow x 2) (+ 1 (* 3 (/ 1 x)))) |
(* (pow x 2) (+ 1 (+ (* 3 (/ 1 x)) (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1 (+ (* 3 (/ 1 x)) (/ 1 (pow x 2))))) |
3 |
(+ 3 x) |
(+ 3 x) |
(+ 3 x) |
x |
(* x (+ 1 (* 3 (/ 1 x)))) |
(* x (+ 1 (* 3 (/ 1 x)))) |
(* x (+ 1 (* 3 (/ 1 x)))) |
x |
(* x (+ 1 (* 3 (/ 1 x)))) |
(* x (+ 1 (* 3 (/ 1 x)))) |
(* x (+ 1 (* 3 (/ 1 x)))) |
1 |
(+ 1 (* 3 x)) |
(+ 1 (* x (+ 3 x))) |
(+ 1 (* x (+ 3 (* x (+ 1 (* 3 x)))))) |
(/ -3 x) |
(* -1 (/ (+ 3 (/ 1 x)) x)) |
(/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x) |
(/ (- (* -1 (/ (+ 3 (/ 1 x)) (pow x 2))) (+ 3 (/ 1 x))) x) |
(/ -3 x) |
(* -1 (/ (+ 3 (/ 1 x)) x)) |
(* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x)) |
(* -1 (/ (+ 3 (* -1 (/ (- (* -1 (/ (+ 3 (/ 1 x)) x)) 1) x))) x)) |
(/ -3 (pow x 3)) |
(/ (- (* -1 x) 3) (pow x 3)) |
(/ (- (* x (- (* -3 x) 1)) 3) (pow x 3)) |
(/ (- (* x (- (* -3 x) 1)) 3) (pow x 3)) |
(/ -3 x) |
(* -1 (/ (+ 3 (/ 1 x)) x)) |
(/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x) |
(/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x) |
(/ -3 x) |
(* -1 (/ (+ 3 (/ 1 x)) x)) |
(* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x)) |
(* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x)) |
(/ -3 (pow x 2)) |
(/ (- (* -1 x) 3) (pow x 2)) |
(/ (- (* x (- (* -3 x) 1)) 3) (pow x 2)) |
(/ (- (* x (- (* -3 x) 1)) 3) (pow x 2)) |
-3 |
(* -1 (+ 3 (/ 1 x))) |
(- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) |
(- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) |
-3 |
(* -1 (+ 3 (/ 1 x))) |
(- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) |
(- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) |
(/ -1 (pow x 2)) |
(/ (- (* -3 x) 1) (pow x 2)) |
(/ (- (* -3 x) 1) (pow x 2)) |
(/ (- (* -3 x) 1) (pow x 2)) |
(/ -3 x) |
(* -1 (/ (+ 3 (/ 1 x)) x)) |
(* -1 (/ (+ 3 (/ 1 x)) x)) |
(* -1 (/ (+ 3 (/ 1 x)) x)) |
(/ -3 x) |
(* -1 (/ (+ 3 (/ 1 x)) x)) |
(* -1 (/ (+ 3 (/ 1 x)) x)) |
(* -1 (/ (+ 3 (/ 1 x)) x)) |
1 |
(+ 1 (* 3 x)) |
(+ 1 (* x (+ 3 x))) |
(+ 1 (* x (+ 3 (* x (+ 1 (* 3 x)))))) |
(/ -3 x) |
(* -1 (/ (+ 3 (/ 1 x)) x)) |
(/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x) |
(/ (- (* -1 (/ (+ 3 (/ 1 x)) (pow x 2))) (+ 3 (/ 1 x))) x) |
(/ -3 x) |
(* -1 (/ (+ 3 (/ 1 x)) x)) |
(* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x)) |
(* -1 (/ (+ 3 (* -1 (/ (- (* -1 (/ (+ 3 (/ 1 x)) x)) 1) x))) x)) |
(/ -1 x) |
(/ (- (* -3 x) 1) x) |
(/ (- (* -3 x) 1) x) |
(/ (- (* -3 x) 1) x) |
-3 |
(* -1 (+ 3 (/ 1 x))) |
(* -1 (+ 3 (/ 1 x))) |
(* -1 (+ 3 (/ 1 x))) |
-3 |
(* -1 (+ 3 (/ 1 x))) |
(* -1 (+ 3 (/ 1 x))) |
(* -1 (+ 3 (/ 1 x))) |
(/ -1 x) |
(/ -1 x) |
(/ -1 x) |
(/ -1 x) |
(/ -1 x) |
(/ -1 x) |
(/ -1 x) |
(/ -1 x) |
(/ -1 x) |
(/ -1 x) |
(/ -1 x) |
(/ -1 x) |
(/ -3 (pow x 2)) |
(/ (- (* -1 x) 3) (pow x 2)) |
(/ (- (* -1 x) 3) (pow x 2)) |
(/ (- (* -1 x) 3) (pow x 2)) |
(/ -1 x) |
(* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) |
(* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) |
(* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) |
(/ -1 x) |
(* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) |
(* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) |
(* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) |
(/ -3 (pow x 3)) |
(/ (- (* -1 x) 3) (pow x 3)) |
(/ (- (* x (- (* -3 x) 1)) 3) (pow x 3)) |
(/ (- (* x (- (* -3 x) 1)) 3) (pow x 3)) |
(/ -3 x) |
(* -1 (/ (+ 3 (/ 1 x)) x)) |
(/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x) |
(/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x) |
(/ -3 x) |
(* -1 (/ (+ 3 (/ 1 x)) x)) |
(* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x)) |
(* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x)) |
1 |
(+ 1 (* 3 x)) |
(+ 1 (* x (+ 3 x))) |
(+ 1 (* x (+ 3 (* x (+ 1 (* 3 x)))))) |
(/ -3 x) |
(* -1 (/ (+ 3 (/ 1 x)) x)) |
(/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x) |
(/ (- (* -1 (/ (+ 3 (/ 1 x)) (pow x 2))) (+ 3 (/ 1 x))) x) |
(/ -3 x) |
(* -1 (/ (+ 3 (/ 1 x)) x)) |
(* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x)) |
(* -1 (/ (+ 3 (* -1 (/ (- (* -1 (/ (+ 3 (/ 1 x)) x)) 1) x))) x)) |
(/ 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 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) |
(/ -3 (pow x 2)) |
(/ (- (* -1 x) 3) (pow x 2)) |
(/ (- (* x (- (* -3 x) 1)) 3) (pow x 2)) |
(/ (- (* x (- (* -3 x) 1)) 3) (pow x 2)) |
-3 |
(* -1 (+ 3 (/ 1 x))) |
(- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) |
(- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) |
-3 |
(* -1 (+ 3 (/ 1 x))) |
(- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) |
(- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) |
| Outputs |
|---|
1 |
#s(literal 1 binary64) |
(+ 1 (* 3 x)) |
(fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) |
(+ 1 (* x (+ 3 x))) |
(fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 1 binary64)) |
(+ 1 (* x (+ 3 (* x (+ 1 (* 3 x)))))) |
(*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))) |
(/ -3 x) |
(/.f64 #s(literal -3 binary64) x) |
(* -1 (/ (+ 3 (/ 1 x)) x)) |
(/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x x)) |
(/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x) |
(/.f64 (fma.f64 x (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) #s(literal -3 binary64)) (*.f64 x (*.f64 x x))) |
(/ (- (* -1 (/ (+ 3 (/ 1 x)) (pow x 2))) (+ 3 (/ 1 x))) x) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))) (*.f64 x x)) |
(/ -3 x) |
(/.f64 #s(literal -3 binary64) x) |
(* -1 (/ (+ 3 (/ 1 x)) x)) |
(/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x x)) |
(* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x)) |
(/.f64 (fma.f64 x (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) #s(literal -3 binary64)) (*.f64 x (*.f64 x x))) |
(* -1 (/ (+ 3 (* -1 (/ (- (* -1 (/ (+ 3 (/ 1 x)) x)) 1) x))) x)) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))) (*.f64 x x)) |
(/ -3 (pow x 3)) |
(/.f64 #s(literal -3 binary64) (*.f64 x (*.f64 x x))) |
(/ (- (* -1 x) 3) (pow x 3)) |
(/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x (*.f64 x x))) |
(/ (- (* x (- (* -3 x) 1)) 3) (pow x 3)) |
(/.f64 (fma.f64 x (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) #s(literal -3 binary64)) (*.f64 x (*.f64 x x))) |
(/ (- (* x (- (* -3 x) 1)) 3) (pow x 3)) |
(/.f64 (fma.f64 x (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) #s(literal -3 binary64)) (*.f64 x (*.f64 x x))) |
(/ -3 x) |
(/.f64 #s(literal -3 binary64) x) |
(* -1 (/ (+ 3 (/ 1 x)) x)) |
(/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x x)) |
(/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x) |
(/.f64 (fma.f64 x (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) #s(literal -3 binary64)) (*.f64 x (*.f64 x x))) |
(/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x) |
(/.f64 (fma.f64 x (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) #s(literal -3 binary64)) (*.f64 x (*.f64 x x))) |
(/ -3 x) |
(/.f64 #s(literal -3 binary64) x) |
(* -1 (/ (+ 3 (/ 1 x)) x)) |
(/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x x)) |
(* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x)) |
(/.f64 (fma.f64 x (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) #s(literal -3 binary64)) (*.f64 x (*.f64 x x))) |
(* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x)) |
(/.f64 (fma.f64 x (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) #s(literal -3 binary64)) (*.f64 x (*.f64 x x))) |
(/ -3 (pow x 2)) |
(/.f64 #s(literal -3 binary64) (*.f64 x x)) |
(/ (- (* -1 x) 3) (pow x 2)) |
(/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x)) |
(/ (- (* x (- (* -3 x) 1)) 3) (pow x 2)) |
(+.f64 #s(literal -3 binary64) (/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x))) |
(/ (- (* x (- (* -3 x) 1)) 3) (pow x 2)) |
(+.f64 #s(literal -3 binary64) (/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x))) |
-3 |
#s(literal -3 binary64) |
(* -1 (+ 3 (/ 1 x))) |
(+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) |
(- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) |
(+.f64 #s(literal -3 binary64) (/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x))) |
(- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) |
(+.f64 #s(literal -3 binary64) (/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x))) |
-3 |
#s(literal -3 binary64) |
(* -1 (+ 3 (/ 1 x))) |
(+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) |
(- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) |
(+.f64 #s(literal -3 binary64) (/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x))) |
(- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) |
(+.f64 #s(literal -3 binary64) (/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x))) |
(/ -3 (pow x 2)) |
(/.f64 #s(literal -3 binary64) (*.f64 x x)) |
(/ (- (* -1 x) 3) (pow x 2)) |
(/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x)) |
(/ (- (* -1 x) 3) (pow x 2)) |
(/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x)) |
(/ (- (* -1 x) 3) (pow x 2)) |
(/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x)) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) |
(/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x)) |
(* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) |
(/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x)) |
(* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) |
(/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x)) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) |
(/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x)) |
(* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) |
(/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x)) |
(* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) |
(/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 3 x)) |
(fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) |
(+ 1 (* x (+ 3 x))) |
(fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 1 binary64)) |
(+ 1 (* x (+ 3 (* x (+ 1 (* 3 x)))))) |
(*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))) |
(/ -3 x) |
(/.f64 #s(literal -3 binary64) x) |
(* -1 (/ (+ 3 (/ 1 x)) x)) |
(/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x x)) |
(/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x) |
(/.f64 (fma.f64 x (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) #s(literal -3 binary64)) (*.f64 x (*.f64 x x))) |
(/ (- (* -1 (/ (+ 3 (/ 1 x)) (pow x 2))) (+ 3 (/ 1 x))) x) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))) (*.f64 x x)) |
(/ -3 x) |
(/.f64 #s(literal -3 binary64) x) |
(* -1 (/ (+ 3 (/ 1 x)) x)) |
(/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x x)) |
(* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x)) |
(/.f64 (fma.f64 x (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) #s(literal -3 binary64)) (*.f64 x (*.f64 x x))) |
(* -1 (/ (+ 3 (* -1 (/ (- (* -1 (/ (+ 3 (/ 1 x)) x)) 1) x))) x)) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))) (*.f64 x x)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 3 x)) |
(fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) |
(+ 1 (* x (+ 3 x))) |
(fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 1 binary64)) |
(+ 1 (* x (+ 3 x))) |
(fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 1 binary64)) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (* 3 (/ 1 x)))) |
(*.f64 x (+.f64 #s(literal 3 binary64) x)) |
(* (pow x 2) (+ 1 (+ (* 3 (/ 1 x)) (/ 1 (pow x 2))))) |
(fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 1 binary64)) |
(* (pow x 2) (+ 1 (+ (* 3 (/ 1 x)) (/ 1 (pow x 2))))) |
(fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 1 binary64)) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (* 3 (/ 1 x)))) |
(*.f64 x (+.f64 #s(literal 3 binary64) x)) |
(* (pow x 2) (+ 1 (+ (* 3 (/ 1 x)) (/ 1 (pow x 2))))) |
(fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 1 binary64)) |
(* (pow x 2) (+ 1 (+ (* 3 (/ 1 x)) (/ 1 (pow x 2))))) |
(fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 1 binary64)) |
3 |
#s(literal 3 binary64) |
(+ 3 x) |
(+.f64 #s(literal 3 binary64) x) |
(+ 3 x) |
(+.f64 #s(literal 3 binary64) x) |
(+ 3 x) |
(+.f64 #s(literal 3 binary64) x) |
x |
(* x (+ 1 (* 3 (/ 1 x)))) |
(+.f64 #s(literal 3 binary64) x) |
(* x (+ 1 (* 3 (/ 1 x)))) |
(+.f64 #s(literal 3 binary64) x) |
(* x (+ 1 (* 3 (/ 1 x)))) |
(+.f64 #s(literal 3 binary64) x) |
x |
(* x (+ 1 (* 3 (/ 1 x)))) |
(+.f64 #s(literal 3 binary64) x) |
(* x (+ 1 (* 3 (/ 1 x)))) |
(+.f64 #s(literal 3 binary64) x) |
(* x (+ 1 (* 3 (/ 1 x)))) |
(+.f64 #s(literal 3 binary64) x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 3 x)) |
(fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) |
(+ 1 (* x (+ 3 x))) |
(fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 1 binary64)) |
(+ 1 (* x (+ 3 (* x (+ 1 (* 3 x)))))) |
(*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))) |
(/ -3 x) |
(/.f64 #s(literal -3 binary64) x) |
(* -1 (/ (+ 3 (/ 1 x)) x)) |
(/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x x)) |
(/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x) |
(/.f64 (fma.f64 x (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) #s(literal -3 binary64)) (*.f64 x (*.f64 x x))) |
(/ (- (* -1 (/ (+ 3 (/ 1 x)) (pow x 2))) (+ 3 (/ 1 x))) x) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))) (*.f64 x x)) |
(/ -3 x) |
(/.f64 #s(literal -3 binary64) x) |
(* -1 (/ (+ 3 (/ 1 x)) x)) |
(/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x x)) |
(* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x)) |
(/.f64 (fma.f64 x (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) #s(literal -3 binary64)) (*.f64 x (*.f64 x x))) |
(* -1 (/ (+ 3 (* -1 (/ (- (* -1 (/ (+ 3 (/ 1 x)) x)) 1) x))) x)) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))) (*.f64 x x)) |
(/ -3 (pow x 3)) |
(/.f64 #s(literal -3 binary64) (*.f64 x (*.f64 x x))) |
(/ (- (* -1 x) 3) (pow x 3)) |
(/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x (*.f64 x x))) |
(/ (- (* x (- (* -3 x) 1)) 3) (pow x 3)) |
(/.f64 (fma.f64 x (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) #s(literal -3 binary64)) (*.f64 x (*.f64 x x))) |
(/ (- (* x (- (* -3 x) 1)) 3) (pow x 3)) |
(/.f64 (fma.f64 x (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) #s(literal -3 binary64)) (*.f64 x (*.f64 x x))) |
(/ -3 x) |
(/.f64 #s(literal -3 binary64) x) |
(* -1 (/ (+ 3 (/ 1 x)) x)) |
(/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x x)) |
(/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x) |
(/.f64 (fma.f64 x (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) #s(literal -3 binary64)) (*.f64 x (*.f64 x x))) |
(/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x) |
(/.f64 (fma.f64 x (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) #s(literal -3 binary64)) (*.f64 x (*.f64 x x))) |
(/ -3 x) |
(/.f64 #s(literal -3 binary64) x) |
(* -1 (/ (+ 3 (/ 1 x)) x)) |
(/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x x)) |
(* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x)) |
(/.f64 (fma.f64 x (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) #s(literal -3 binary64)) (*.f64 x (*.f64 x x))) |
(* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x)) |
(/.f64 (fma.f64 x (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) #s(literal -3 binary64)) (*.f64 x (*.f64 x x))) |
(/ -3 (pow x 2)) |
(/.f64 #s(literal -3 binary64) (*.f64 x x)) |
(/ (- (* -1 x) 3) (pow x 2)) |
(/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x)) |
(/ (- (* x (- (* -3 x) 1)) 3) (pow x 2)) |
(+.f64 #s(literal -3 binary64) (/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x))) |
(/ (- (* x (- (* -3 x) 1)) 3) (pow x 2)) |
(+.f64 #s(literal -3 binary64) (/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x))) |
-3 |
#s(literal -3 binary64) |
(* -1 (+ 3 (/ 1 x))) |
(+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) |
(- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) |
(+.f64 #s(literal -3 binary64) (/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x))) |
(- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) |
(+.f64 #s(literal -3 binary64) (/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x))) |
-3 |
#s(literal -3 binary64) |
(* -1 (+ 3 (/ 1 x))) |
(+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) |
(- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) |
(+.f64 #s(literal -3 binary64) (/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x))) |
(- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) |
(+.f64 #s(literal -3 binary64) (/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x))) |
(/ -1 (pow x 2)) |
(/.f64 #s(literal -1 binary64) (*.f64 x x)) |
(/ (- (* -3 x) 1) (pow x 2)) |
(/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x x)) |
(/ (- (* -3 x) 1) (pow x 2)) |
(/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x x)) |
(/ (- (* -3 x) 1) (pow x 2)) |
(/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x x)) |
(/ -3 x) |
(/.f64 #s(literal -3 binary64) x) |
(* -1 (/ (+ 3 (/ 1 x)) x)) |
(/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x x)) |
(* -1 (/ (+ 3 (/ 1 x)) x)) |
(/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x x)) |
(* -1 (/ (+ 3 (/ 1 x)) x)) |
(/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x x)) |
(/ -3 x) |
(/.f64 #s(literal -3 binary64) x) |
(* -1 (/ (+ 3 (/ 1 x)) x)) |
(/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x x)) |
(* -1 (/ (+ 3 (/ 1 x)) x)) |
(/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x x)) |
(* -1 (/ (+ 3 (/ 1 x)) x)) |
(/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x x)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 3 x)) |
(fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) |
(+ 1 (* x (+ 3 x))) |
(fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 1 binary64)) |
(+ 1 (* x (+ 3 (* x (+ 1 (* 3 x)))))) |
(*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))) |
(/ -3 x) |
(/.f64 #s(literal -3 binary64) x) |
(* -1 (/ (+ 3 (/ 1 x)) x)) |
(/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x x)) |
(/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x) |
(/.f64 (fma.f64 x (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) #s(literal -3 binary64)) (*.f64 x (*.f64 x x))) |
(/ (- (* -1 (/ (+ 3 (/ 1 x)) (pow x 2))) (+ 3 (/ 1 x))) x) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))) (*.f64 x x)) |
(/ -3 x) |
(/.f64 #s(literal -3 binary64) x) |
(* -1 (/ (+ 3 (/ 1 x)) x)) |
(/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x x)) |
(* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x)) |
(/.f64 (fma.f64 x (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) #s(literal -3 binary64)) (*.f64 x (*.f64 x x))) |
(* -1 (/ (+ 3 (* -1 (/ (- (* -1 (/ (+ 3 (/ 1 x)) x)) 1) x))) x)) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))) (*.f64 x x)) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(/ (- (* -3 x) 1) x) |
(+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) |
(/ (- (* -3 x) 1) x) |
(+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) |
(/ (- (* -3 x) 1) x) |
(+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) |
-3 |
#s(literal -3 binary64) |
(* -1 (+ 3 (/ 1 x))) |
(+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) |
(* -1 (+ 3 (/ 1 x))) |
(+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) |
(* -1 (+ 3 (/ 1 x))) |
(+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) |
-3 |
#s(literal -3 binary64) |
(* -1 (+ 3 (/ 1 x))) |
(+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) |
(* -1 (+ 3 (/ 1 x))) |
(+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) |
(* -1 (+ 3 (/ 1 x))) |
(+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(/ -3 (pow x 2)) |
(/.f64 #s(literal -3 binary64) (*.f64 x x)) |
(/ (- (* -1 x) 3) (pow x 2)) |
(/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x)) |
(/ (- (* -1 x) 3) (pow x 2)) |
(/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x)) |
(/ (- (* -1 x) 3) (pow x 2)) |
(/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x)) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) |
(/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x)) |
(* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) |
(/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x)) |
(* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) |
(/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x)) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) |
(/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x)) |
(* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) |
(/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x)) |
(* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) |
(/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x)) |
(/ -3 (pow x 3)) |
(/.f64 #s(literal -3 binary64) (*.f64 x (*.f64 x x))) |
(/ (- (* -1 x) 3) (pow x 3)) |
(/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x (*.f64 x x))) |
(/ (- (* x (- (* -3 x) 1)) 3) (pow x 3)) |
(/.f64 (fma.f64 x (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) #s(literal -3 binary64)) (*.f64 x (*.f64 x x))) |
(/ (- (* x (- (* -3 x) 1)) 3) (pow x 3)) |
(/.f64 (fma.f64 x (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) #s(literal -3 binary64)) (*.f64 x (*.f64 x x))) |
(/ -3 x) |
(/.f64 #s(literal -3 binary64) x) |
(* -1 (/ (+ 3 (/ 1 x)) x)) |
(/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x x)) |
(/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x) |
(/.f64 (fma.f64 x (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) #s(literal -3 binary64)) (*.f64 x (*.f64 x x))) |
(/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x) |
(/.f64 (fma.f64 x (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) #s(literal -3 binary64)) (*.f64 x (*.f64 x x))) |
(/ -3 x) |
(/.f64 #s(literal -3 binary64) x) |
(* -1 (/ (+ 3 (/ 1 x)) x)) |
(/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x x)) |
(* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x)) |
(/.f64 (fma.f64 x (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) #s(literal -3 binary64)) (*.f64 x (*.f64 x x))) |
(* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x)) |
(/.f64 (fma.f64 x (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) #s(literal -3 binary64)) (*.f64 x (*.f64 x x))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 3 x)) |
(fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) |
(+ 1 (* x (+ 3 x))) |
(fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 1 binary64)) |
(+ 1 (* x (+ 3 (* x (+ 1 (* 3 x)))))) |
(*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))) |
(/ -3 x) |
(/.f64 #s(literal -3 binary64) x) |
(* -1 (/ (+ 3 (/ 1 x)) x)) |
(/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x x)) |
(/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x) |
(/.f64 (fma.f64 x (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) #s(literal -3 binary64)) (*.f64 x (*.f64 x x))) |
(/ (- (* -1 (/ (+ 3 (/ 1 x)) (pow x 2))) (+ 3 (/ 1 x))) x) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))) (*.f64 x x)) |
(/ -3 x) |
(/.f64 #s(literal -3 binary64) x) |
(* -1 (/ (+ 3 (/ 1 x)) x)) |
(/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x x)) |
(* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x)) |
(/.f64 (fma.f64 x (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) #s(literal -3 binary64)) (*.f64 x (*.f64 x x))) |
(* -1 (/ (+ 3 (* -1 (/ (- (* -1 (/ (+ 3 (/ 1 x)) x)) 1) x))) x)) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))) (*.f64 x x)) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) 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) |
(/ -3 (pow x 2)) |
(/.f64 #s(literal -3 binary64) (*.f64 x x)) |
(/ (- (* -1 x) 3) (pow x 2)) |
(/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x)) |
(/ (- (* x (- (* -3 x) 1)) 3) (pow x 2)) |
(+.f64 #s(literal -3 binary64) (/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x))) |
(/ (- (* x (- (* -3 x) 1)) 3) (pow x 2)) |
(+.f64 #s(literal -3 binary64) (/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x))) |
-3 |
#s(literal -3 binary64) |
(* -1 (+ 3 (/ 1 x))) |
(+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) |
(- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) |
(+.f64 #s(literal -3 binary64) (/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x))) |
(- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) |
(+.f64 #s(literal -3 binary64) (/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x))) |
-3 |
#s(literal -3 binary64) |
(* -1 (+ 3 (/ 1 x))) |
(+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) |
(- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) |
(+.f64 #s(literal -3 binary64) (/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x))) |
(- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) |
(+.f64 #s(literal -3 binary64) (/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x))) |
| 5 208× | lower-/.f32 |
| 5 192× | lower-/.f64 |
| 4 104× | lower-fma.f32 |
| 4 102× | lower-fma.f64 |
| 3 720× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 38 | 236 |
| 0 | 55 | 236 |
| 1 | 246 | 232 |
| 2 | 2252 | 232 |
| 0 | 8377 | 229 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x))) x)) |
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x))) x) |
(+.f64 #s(literal -3 binary64) (/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x))) |
(/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x)) |
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 x #s(approx (+ 3 x) #s(literal 3 binary64)) #s(literal 1 binary64))) |
(fma.f64 x #s(approx (+ 3 x) #s(literal 3 binary64)) #s(literal 1 binary64)) |
#s(approx (+ 3 x) #s(literal 3 binary64)) |
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(approx (+ -3 (/ (+ -1 (/ -3 x)) x)) #s(literal -3 binary64)) x)) |
(/.f64 #s(approx (+ -3 (/ (+ -1 (/ -3 x)) x)) #s(literal -3 binary64)) x) |
#s(approx (+ -3 (/ (+ -1 (/ -3 x)) x)) #s(literal -3 binary64)) |
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x) |
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x)) |
(+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) |
(/.f64 #s(literal -1 binary64) x) |
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x))) |
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)))) |
(/.f64 #s(literal 1 binary64) x) |
(*.f64 x x) |
(+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)) |
| Outputs |
|---|
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x))) x)) |
(exp.f64 (*.f64 (log.f64 (/.f64 x (+.f64 #s(literal -3 binary64) (/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x))))) #s(literal -1 binary64))) |
(-.f64 (/.f64 (/.f64 #s(literal -3 binary64) (*.f64 x x)) x) (/.f64 (-.f64 (/.f64 x (*.f64 x x)) #s(literal -3 binary64)) x)) |
(-.f64 (/.f64 (/.f64 #s(literal 9 binary64) (-.f64 #s(literal -3 binary64) (/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x)))) x) (/.f64 (/.f64 (/.f64 (*.f64 (-.f64 #s(literal -3 binary64) x) (-.f64 #s(literal -3 binary64) x)) (*.f64 (*.f64 x x) (*.f64 x x))) (-.f64 #s(literal -3 binary64) (/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x)))) x)) |
(-.f64 (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -3 binary64) (*.f64 x x))) x) (/.f64 (/.f64 x (*.f64 x x)) x)) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 x)) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x))) (neg.f64 x))) |
(-.f64 (/.f64 #s(literal 9 binary64) (*.f64 x (-.f64 #s(literal -3 binary64) (/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x))))) (/.f64 (/.f64 (*.f64 (-.f64 #s(literal -3 binary64) x) (-.f64 #s(literal -3 binary64) x)) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 x (-.f64 #s(literal -3 binary64) (/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x)))))) |
(neg.f64 (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x))) (neg.f64 x))) |
(neg.f64 (/.f64 (+.f64 #s(literal 3 binary64) (neg.f64 (/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x)))) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 x (+.f64 #s(literal -3 binary64) (/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (+.f64 #s(literal -3 binary64) (/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x)))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 x (+.f64 #s(literal -3 binary64) (/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x))))))) |
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x))) x) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (+.f64 #s(literal -3 binary64) (/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 x (+.f64 #s(literal -3 binary64) (/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x)))) #s(literal 1 binary64)))) |
(/.f64 (+.f64 #s(literal 3 binary64) (neg.f64 (/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x)))) (neg.f64 x)) |
(/.f64 (+.f64 #s(literal -27 binary64) (/.f64 (*.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 (-.f64 #s(literal -3 binary64) x) (-.f64 #s(literal -3 binary64) x))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))) (*.f64 x (fma.f64 (/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x)) (-.f64 (/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x)) #s(literal -3 binary64)) #s(literal 9 binary64)))) |
(/.f64 (-.f64 #s(literal 9 binary64) (/.f64 (*.f64 (-.f64 #s(literal -3 binary64) x) (-.f64 #s(literal -3 binary64) x)) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 x (-.f64 #s(literal -3 binary64) (/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x))))) |
(/.f64 (*.f64 (+.f64 #s(literal -27 binary64) (/.f64 (*.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 (-.f64 #s(literal -3 binary64) x) (-.f64 #s(literal -3 binary64) x))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))) #s(literal 1 binary64)) (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x)) (-.f64 (/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x)) #s(literal -3 binary64)) #s(literal 9 binary64)) x)) |
(/.f64 (*.f64 (+.f64 #s(literal -27 binary64) (/.f64 (*.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 (-.f64 #s(literal -3 binary64) x) (-.f64 #s(literal -3 binary64) x))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))) #s(literal -1 binary64)) (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x)) (-.f64 (/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x)) #s(literal -3 binary64)) #s(literal 9 binary64)) (neg.f64 x))) |
(/.f64 (*.f64 (-.f64 #s(literal 9 binary64) (/.f64 (*.f64 (-.f64 #s(literal -3 binary64) x) (-.f64 #s(literal -3 binary64) x)) (*.f64 (*.f64 x x) (*.f64 x x)))) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal -3 binary64) (/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x))) x)) |
(/.f64 (*.f64 (-.f64 #s(literal 9 binary64) (/.f64 (*.f64 (-.f64 #s(literal -3 binary64) x) (-.f64 #s(literal -3 binary64) x)) (*.f64 (*.f64 x x) (*.f64 x x)))) #s(literal -1 binary64)) (*.f64 (-.f64 #s(literal -3 binary64) (/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x))) (neg.f64 x))) |
(/.f64 (neg.f64 (+.f64 #s(literal -27 binary64) (/.f64 (*.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 (-.f64 #s(literal -3 binary64) x) (-.f64 #s(literal -3 binary64) x))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))))) (neg.f64 (*.f64 x (fma.f64 (/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x)) (-.f64 (/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x)) #s(literal -3 binary64)) #s(literal 9 binary64))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 9 binary64) (/.f64 (*.f64 (-.f64 #s(literal -3 binary64) x) (-.f64 #s(literal -3 binary64) x)) (*.f64 (*.f64 x x) (*.f64 x x))))) (neg.f64 (*.f64 x (-.f64 #s(literal -3 binary64) (/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x)))))) |
(/.f64 (neg.f64 (+.f64 #s(literal 3 binary64) (neg.f64 (/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x))))) (neg.f64 (neg.f64 x))) |
(/.f64 (*.f64 (+.f64 #s(literal -3 binary64) (/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x))) #s(literal 1 binary64)) x) |
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(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 9 binary64) (/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x))) (*.f64 x x))))) (neg.f64 (neg.f64 (-.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x))))) |
(/.f64 (neg.f64 (-.f64 (/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x))) (*.f64 x x)) #s(literal 9 binary64))) (neg.f64 (-.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x) #s(literal -3 binary64)))) |
(pow.f64 (/.f64 (fma.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x) (-.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x) #s(literal -3 binary64)) #s(literal 9 binary64)) (+.f64 #s(literal -27 binary64) (/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)))) (*.f64 x (*.f64 x x))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)) (-.f64 #s(literal 9 binary64) (/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x))) (*.f64 x x)))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x))) |
(*.f64 (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)) #s(literal 1 binary64)) |
(*.f64 (+.f64 #s(literal -27 binary64) (/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)))) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x) (-.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x) #s(literal -3 binary64)) #s(literal 9 binary64)))) |
(*.f64 (-.f64 #s(literal 9 binary64) (/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x))) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)))) |
Compiled 14 677 to 1 555 computations (89.4% saved)
16 alts after pruning (8 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 764 | 3 | 767 |
| Fresh | 0 | 5 | 5 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 4 | 4 |
| Total | 765 | 16 | 781 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 47.1% | (fma.f64 (/.f64 x (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (neg.f64 x) #s(literal 1 binary64)))) |
| ✓ | 49.3% | (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) |
| ✓ | 45.1% | #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 1 binary64))) |
| ✓ | 44.7% | #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 x #s(approx (+ 3 x) #s(literal 3 binary64)) #s(literal 1 binary64))) |
| 16.3% | #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (fma.f64 x (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) #s(literal -3 binary64)) (*.f64 x (*.f64 x x)))) | |
| 28.5% | #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x x))) | |
| 27.0% | #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (fma.f64 x (-.f64 #s(literal -3 binary64) x) #s(literal -1 binary64)) (*.f64 x (*.f64 x x)))) x)) | |
| ✓ | 56.6% | #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x))) x)) |
| ✓ | 55.6% | #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x)) |
| ✓ | 55.9% | #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(approx (+ -3 (/ (+ -1 (/ -3 x)) x)) #s(literal -3 binary64)) x)) |
| ▶ | 45.1% | #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (+.f64 (*.f64 x (+.f64 x #s(literal 3 binary64))) #s(literal 1 binary64))) |
| ✓ | 44.6% | #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))) |
| ▶ | 55.4% | #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)))) |
| ▶ | 55.7% | #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (+ -3 (/ (+ -1 (/ -3 x)) x)) #s(literal -3 binary64)))) |
| ▶ | 11.5% | #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) #s(approx (/ (* (+ 3 (/ 1 x)) (+ -1 (/ -1 (* x x)))) x) (/.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))) (*.f64 (*.f64 x (*.f64 x x)) x)))) |
| ✓ | 45.8% | #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) #s(literal 1 binary64)) |
Compiled 301 to 172 computations (42.9% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) | |
| cost-diff | 0 | (/.f64 x (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) | |
| cost-diff | 0 | (fma.f64 (/.f64 x (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (neg.f64 x) #s(literal 1 binary64)))) | |
| cost-diff | 128 | (+.f64 (neg.f64 x) #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))) | |
| cost-diff | 0 | (/.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))) (*.f64 (*.f64 x (*.f64 x x)) x)) | |
| cost-diff | 0 | #s(approx (/ (* (+ 3 (/ 1 x)) (+ -1 (/ -1 (* x x)))) x) (/.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))) (*.f64 (*.f64 x (*.f64 x x)) x))) | |
| cost-diff | 0 | #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) #s(approx (/ (* (+ 3 (/ 1 x)) (+ -1 (/ -1 (* x x)))) x) (/.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))) (*.f64 (*.f64 x (*.f64 x x)) x)))) | |
| cost-diff | 0 | (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) x) | |
| cost-diff | 0 | #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)))) | |
| cost-diff | 320 | (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x))) | |
| cost-diff | 0 | (+.f64 x #s(literal 3 binary64)) | |
| cost-diff | 0 | (*.f64 x (+.f64 x #s(literal 3 binary64))) | |
| cost-diff | 0 | #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (+.f64 (*.f64 x (+.f64 x #s(literal 3 binary64))) #s(literal 1 binary64))) | |
| cost-diff | 128 | (+.f64 (*.f64 x (+.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (+ -3 (/ (+ -1 (/ -3 x)) x)) #s(literal -3 binary64)) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) x) | |
| cost-diff | 0 | #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (+ -3 (/ (+ -1 (/ -3 x)) x)) #s(literal -3 binary64)))) | |
| cost-diff | 320 | (*.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (+ -3 (/ (+ -1 (/ -3 x)) x)) #s(literal -3 binary64))) |
| 9 778× | lower-fma.f32 |
| 9 770× | lower-fma.f64 |
| 2 452× | lower-+.f32 |
| 2 442× | lower-+.f64 |
| 2 338× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 50 | 349 |
| 0 | 75 | 336 |
| 1 | 147 | 317 |
| 2 | 332 | 317 |
| 3 | 722 | 317 |
| 4 | 1486 | 317 |
| 5 | 4234 | 315 |
| 6 | 7619 | 313 |
| 0 | 8183 | 311 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (+ -3 (/ (+ -1 (/ -3 x)) x)) #s(literal -3 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (+ -3 (/ (+ -1 (/ -3 x)) x)) #s(literal -3 binary64))) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
#s(approx (+ -3 (/ (+ -1 (/ -3 x)) x)) #s(literal -3 binary64)) |
#s(literal -3 binary64) |
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (+.f64 (*.f64 x (+.f64 x #s(literal 3 binary64))) #s(literal 1 binary64))) |
(+.f64 (*.f64 x (+.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) |
(*.f64 x (+.f64 x #s(literal 3 binary64))) |
x |
(+.f64 x #s(literal 3 binary64)) |
#s(literal 3 binary64) |
#s(literal 1 binary64) |
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)))) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x))) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
(+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) |
#s(literal -3 binary64) |
(/.f64 #s(literal -1 binary64) x) |
#s(literal -1 binary64) |
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) #s(approx (/ (* (+ 3 (/ 1 x)) (+ -1 (/ -1 (* x x)))) x) (/.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))) (*.f64 (*.f64 x (*.f64 x x)) x)))) |
#s(approx (/ (* (+ 3 (/ 1 x)) (+ -1 (/ -1 (* x x)))) x) (/.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))) (*.f64 (*.f64 x (*.f64 x x)) x))) |
(/.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))) (*.f64 (*.f64 x (*.f64 x x)) x)) |
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))) |
(fma.f64 x x #s(literal 1 binary64)) |
x |
#s(literal 1 binary64) |
(fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) |
#s(literal -3 binary64) |
#s(literal -1 binary64) |
(*.f64 (*.f64 x (*.f64 x x)) x) |
(*.f64 x (*.f64 x x)) |
(*.f64 x x) |
(fma.f64 (/.f64 x (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (neg.f64 x) #s(literal 1 binary64)))) |
(/.f64 x (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) |
x |
(fma.f64 x (*.f64 x x) #s(literal 1 binary64)) |
(*.f64 x x) |
#s(literal 1 binary64) |
(-.f64 (fma.f64 x x #s(literal 1 binary64)) x) |
(fma.f64 x x #s(literal 1 binary64)) |
(/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (neg.f64 x) #s(literal 1 binary64))) |
(+.f64 x #s(literal 1 binary64)) |
(+.f64 (neg.f64 x) #s(literal 1 binary64)) |
(neg.f64 x) |
| Outputs |
|---|
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (+ -3 (/ (+ -1 (/ -3 x)) x)) #s(literal -3 binary64)))) |
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(approx (+ -3 (/ (+ -1 (/ -3 x)) x)) #s(literal -3 binary64)) x)) |
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (+ -3 (/ (+ -1 (/ -3 x)) x)) #s(literal -3 binary64))) |
(/.f64 #s(approx (+ -3 (/ (+ -1 (/ -3 x)) x)) #s(literal -3 binary64)) x) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
#s(approx (+ -3 (/ (+ -1 (/ -3 x)) x)) #s(literal -3 binary64)) |
#s(literal -3 binary64) |
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (+.f64 (*.f64 x (+.f64 x #s(literal 3 binary64))) #s(literal 1 binary64))) |
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 x (+.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) |
(+.f64 (*.f64 x (+.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) |
(fma.f64 x (+.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) |
(*.f64 x (+.f64 x #s(literal 3 binary64))) |
x |
(+.f64 x #s(literal 3 binary64)) |
#s(literal 3 binary64) |
#s(literal 1 binary64) |
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)))) |
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x)) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x))) |
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
(+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) |
#s(literal -3 binary64) |
(/.f64 #s(literal -1 binary64) x) |
#s(literal -1 binary64) |
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) #s(approx (/ (* (+ 3 (/ 1 x)) (+ -1 (/ -1 (* x x)))) x) (/.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))) (*.f64 (*.f64 x (*.f64 x x)) x)))) |
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) #s(approx (/ (* (+ 3 (/ 1 x)) (+ -1 (/ -1 (* x x)))) x) (/.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))))) |
#s(approx (/ (* (+ 3 (/ 1 x)) (+ -1 (/ -1 (* x x)))) x) (/.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))) (*.f64 (*.f64 x (*.f64 x x)) x))) |
#s(approx (/ (* (+ 3 (/ 1 x)) (+ -1 (/ -1 (* x x)))) x) (/.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))) (*.f64 x (*.f64 x (*.f64 x x))))) |
(/.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))) (*.f64 (*.f64 x (*.f64 x x)) x)) |
(/.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))) |
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))) |
(fma.f64 x x #s(literal 1 binary64)) |
x |
#s(literal 1 binary64) |
(fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) |
#s(literal -3 binary64) |
#s(literal -1 binary64) |
(*.f64 (*.f64 x (*.f64 x x)) x) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(*.f64 x (*.f64 x x)) |
(*.f64 x x) |
(fma.f64 (/.f64 x (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (neg.f64 x) #s(literal 1 binary64)))) |
(fma.f64 (/.f64 x (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))) |
(/.f64 x (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) |
x |
(fma.f64 x (*.f64 x x) #s(literal 1 binary64)) |
(*.f64 x x) |
#s(literal 1 binary64) |
(-.f64 (fma.f64 x x #s(literal 1 binary64)) x) |
(fma.f64 x x #s(literal 1 binary64)) |
(/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (neg.f64 x) #s(literal 1 binary64))) |
(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) |
(+.f64 x #s(literal 1 binary64)) |
(+.f64 (neg.f64 x) #s(literal 1 binary64)) |
(-.f64 #s(literal 1 binary64) x) |
(neg.f64 x) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.01171875 | (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) | |
| accuracy | 0.04296875 | (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) | |
| accuracy | 7.056288466876794 | (/.f64 x (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) | |
| accuracy | 33.39238010797564 | (fma.f64 (/.f64 x (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (neg.f64 x) #s(literal 1 binary64)))) | |
| accuracy | 0.07878876953688403 | (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))) | |
| accuracy | 0.0859375 | (*.f64 x (*.f64 x x)) | |
| accuracy | 28.063241545788678 | (/.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))) (*.f64 (*.f64 x (*.f64 x x)) x)) | |
| accuracy | 28.199633915636184 | #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) #s(approx (/ (* (+ 3 (/ 1 x)) (+ -1 (/ -1 (* x x)))) x) (/.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))) (*.f64 (*.f64 x (*.f64 x x)) x)))) | |
| accuracy | 0 | (/.f64 #s(literal -1 binary64) x) | |
| accuracy | 0.00390625 | (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) | |
| accuracy | 0.234375 | (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x))) | |
| accuracy | 28.405398557364848 | #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)))) | |
| accuracy | 0 | (+.f64 (*.f64 x (+.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) | |
| accuracy | 0 | (+.f64 x #s(literal 3 binary64)) | |
| accuracy | 0.07421875 | (*.f64 x (+.f64 x #s(literal 3 binary64))) | |
| accuracy | 35.11209943280984 | #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (+.f64 (*.f64 x (+.f64 x #s(literal 3 binary64))) #s(literal 1 binary64))) | |
| accuracy | 0 | (/.f64 #s(literal 1 binary64) x) | |
| accuracy | 0.21875 | (*.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (+ -3 (/ (+ -1 (/ -3 x)) x)) #s(literal -3 binary64))) | |
| accuracy | 27.78516893295953 | #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (+ -3 (/ (+ -1 (/ -3 x)) x)) #s(literal -3 binary64)))) | |
| accuracy | 27.958551410656497 | #s(approx (+ -3 (/ (+ -1 (/ -3 x)) x)) #s(literal -3 binary64)) |
| 85.0ms | 61× | 2 | valid |
| 75.0ms | 92× | 1 | valid |
| 31.0ms | 103× | 0 | valid |
Compiled 274 to 45 computations (83.6% saved)
ival-mult: 28.0ms (25.5% of total)ival-div: 26.0ms (23.7% of total)adjust: 24.0ms (21.8% of total)ival-add: 24.0ms (21.8% of total)ival-sub: 6.0ms (5.5% of total)exact: 1.0ms (0.9% of total)ival-neg: 1.0ms (0.9% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (*.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (+ -3 (/ (+ -1 (/ -3 x)) x)) #s(literal -3 binary64))) (patch (*.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (+ -3 (/ (+ -1 (/ -3 x)) x)) #s(literal -3 binary64))) #<representation binary64>) () ()) |
#s(alt #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (+ -3 (/ (+ -1 (/ -3 x)) x)) #s(literal -3 binary64)))) (patch #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (+ -3 (/ (+ -1 (/ -3 x)) x)) #s(literal -3 binary64)))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ()) |
#s(alt #s(approx (+ -3 (/ (+ -1 (/ -3 x)) x)) #s(literal -3 binary64)) (patch #s(approx (+ -3 (/ (+ -1 (/ -3 x)) x)) #s(literal -3 binary64)) #<representation binary64>) () ()) |
#s(alt (+.f64 (*.f64 x (+.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (patch (+.f64 (*.f64 x (+.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (+.f64 (*.f64 x (+.f64 x #s(literal 3 binary64))) #s(literal 1 binary64))) (patch #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (+.f64 (*.f64 x (+.f64 x #s(literal 3 binary64))) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 x (+.f64 x #s(literal 3 binary64))) (patch (*.f64 x (+.f64 x #s(literal 3 binary64))) #<representation binary64>) () ()) |
#s(alt (+.f64 x #s(literal 3 binary64)) (patch (+.f64 x #s(literal 3 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x))) (patch (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x))) #<representation binary64>) () ()) |
#s(alt #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)))) (patch #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)))) #<representation binary64>) () ()) |
#s(alt (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) (patch (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) #<representation binary64>) () ()) |
#s(alt #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) #s(approx (/ (* (+ 3 (/ 1 x)) (+ -1 (/ -1 (* x x)))) x) (/.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))) (*.f64 (*.f64 x (*.f64 x x)) x)))) (patch #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) #s(approx (/ (* (+ 3 (/ 1 x)) (+ -1 (/ -1 (* x x)))) x) (/.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))) (*.f64 (*.f64 x (*.f64 x x)) x)))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (* (+ 3 (/ 1 x)) (+ -1 (/ -1 (* x x)))) x) (/.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))) (*.f64 (*.f64 x (*.f64 x x)) x))) (patch #s(approx (/ (* (+ 3 (/ 1 x)) (+ -1 (/ -1 (* x x)))) x) (/.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))) (*.f64 (*.f64 x (*.f64 x x)) x))) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))) (*.f64 (*.f64 x (*.f64 x x)) x)) (patch (/.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))) (*.f64 (*.f64 x (*.f64 x x)) x)) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))) (patch (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))) #<representation binary64>) () ()) |
#s(alt (+.f64 (neg.f64 x) #s(literal 1 binary64)) (patch (+.f64 (neg.f64 x) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (/.f64 x (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (neg.f64 x) #s(literal 1 binary64)))) (patch (fma.f64 (/.f64 x (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (neg.f64 x) #s(literal 1 binary64)))) #<representation binary64>) () ()) |
#s(alt (/.f64 x (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (patch (/.f64 x (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (patch (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal -1 binary64) x) (patch (/.f64 #s(literal -1 binary64) x) #<representation binary64>) () ()) |
#s(alt (*.f64 x (*.f64 x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ()) |
#s(alt (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) (patch (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (/ -3 (pow x 3)) (taylor 0 x) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (+ -3 (/ (+ -1 (/ -3 x)) x)) #s(literal -3 binary64))) (patch (*.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (+ -3 (/ (+ -1 (/ -3 x)) x)) #s(literal -3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* -1 x) 3) (pow x 3)) (taylor 0 x) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (+ -3 (/ (+ -1 (/ -3 x)) x)) #s(literal -3 binary64))) (patch (*.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (+ -3 (/ (+ -1 (/ -3 x)) x)) #s(literal -3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* x (- (* -3 x) 1)) 3) (pow x 3)) (taylor 0 x) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (+ -3 (/ (+ -1 (/ -3 x)) x)) #s(literal -3 binary64))) (patch (*.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (+ -3 (/ (+ -1 (/ -3 x)) x)) #s(literal -3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* x (- (* -3 x) 1)) 3) (pow x 3)) (taylor 0 x) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (+ -3 (/ (+ -1 (/ -3 x)) x)) #s(literal -3 binary64))) (patch (*.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (+ -3 (/ (+ -1 (/ -3 x)) x)) #s(literal -3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ -3 x) (taylor inf x) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (+ -3 (/ (+ -1 (/ -3 x)) x)) #s(literal -3 binary64))) (patch (*.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (+ -3 (/ (+ -1 (/ -3 x)) x)) #s(literal -3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ 3 (/ 1 x)) x)) (taylor inf x) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (+ -3 (/ (+ -1 (/ -3 x)) x)) #s(literal -3 binary64))) (patch (*.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (+ -3 (/ (+ -1 (/ -3 x)) x)) #s(literal -3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x) (taylor inf x) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (+ -3 (/ (+ -1 (/ -3 x)) x)) #s(literal -3 binary64))) (patch (*.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (+ -3 (/ (+ -1 (/ -3 x)) x)) #s(literal -3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x) (taylor inf x) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (+ -3 (/ (+ -1 (/ -3 x)) x)) #s(literal -3 binary64))) (patch (*.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (+ -3 (/ (+ -1 (/ -3 x)) x)) #s(literal -3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ -3 x) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (+ -3 (/ (+ -1 (/ -3 x)) x)) #s(literal -3 binary64))) (patch (*.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (+ -3 (/ (+ -1 (/ -3 x)) x)) #s(literal -3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ 3 (/ 1 x)) x)) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (+ -3 (/ (+ -1 (/ -3 x)) x)) #s(literal -3 binary64))) (patch (*.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (+ -3 (/ (+ -1 (/ -3 x)) x)) #s(literal -3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x)) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (+ -3 (/ (+ -1 (/ -3 x)) x)) #s(literal -3 binary64))) (patch (*.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (+ -3 (/ (+ -1 (/ -3 x)) x)) #s(literal -3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x)) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (+ -3 (/ (+ -1 (/ -3 x)) x)) #s(literal -3 binary64))) (patch (*.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (+ -3 (/ (+ -1 (/ -3 x)) x)) #s(literal -3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 x) (#s(alt #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (+ -3 (/ (+ -1 (/ -3 x)) x)) #s(literal -3 binary64)))) (patch #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (+ -3 (/ (+ -1 (/ -3 x)) x)) #s(literal -3 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* 3 x)) (taylor 0 x) (#s(alt #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (+ -3 (/ (+ -1 (/ -3 x)) x)) #s(literal -3 binary64)))) (patch #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (+ -3 (/ (+ -1 (/ -3 x)) x)) #s(literal -3 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* x (+ 3 x))) (taylor 0 x) (#s(alt #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (+ -3 (/ (+ -1 (/ -3 x)) x)) #s(literal -3 binary64)))) (patch #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (+ -3 (/ (+ -1 (/ -3 x)) x)) #s(literal -3 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* x (+ 3 (* x (+ 1 (* 3 x)))))) (taylor 0 x) (#s(alt #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (+ -3 (/ (+ -1 (/ -3 x)) x)) #s(literal -3 binary64)))) (patch #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (+ -3 (/ (+ -1 (/ -3 x)) x)) #s(literal -3 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ -3 x) (taylor inf x) (#s(alt #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (+ -3 (/ (+ -1 (/ -3 x)) x)) #s(literal -3 binary64)))) (patch #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (+ -3 (/ (+ -1 (/ -3 x)) x)) #s(literal -3 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ 3 (/ 1 x)) x)) (taylor inf x) (#s(alt #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (+ -3 (/ (+ -1 (/ -3 x)) x)) #s(literal -3 binary64)))) (patch #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (+ -3 (/ (+ -1 (/ -3 x)) x)) #s(literal -3 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x) (taylor inf x) (#s(alt #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (+ -3 (/ (+ -1 (/ -3 x)) x)) #s(literal -3 binary64)))) (patch #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (+ -3 (/ (+ -1 (/ -3 x)) x)) #s(literal -3 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* -1 (/ (+ 3 (/ 1 x)) (pow x 2))) (+ 3 (/ 1 x))) x) (taylor inf x) (#s(alt #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (+ -3 (/ (+ -1 (/ -3 x)) x)) #s(literal -3 binary64)))) (patch #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (+ -3 (/ (+ -1 (/ -3 x)) x)) #s(literal -3 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ -3 x) (taylor -inf x) (#s(alt #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (+ -3 (/ (+ -1 (/ -3 x)) x)) #s(literal -3 binary64)))) (patch #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (+ -3 (/ (+ -1 (/ -3 x)) x)) #s(literal -3 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ 3 (/ 1 x)) x)) (taylor -inf x) (#s(alt #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (+ -3 (/ (+ -1 (/ -3 x)) x)) #s(literal -3 binary64)))) (patch #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (+ -3 (/ (+ -1 (/ -3 x)) x)) #s(literal -3 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x)) (taylor -inf x) (#s(alt #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (+ -3 (/ (+ -1 (/ -3 x)) x)) #s(literal -3 binary64)))) (patch #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (+ -3 (/ (+ -1 (/ -3 x)) x)) #s(literal -3 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ 3 (* -1 (/ (- (* -1 (/ (+ 3 (/ 1 x)) x)) 1) x))) x)) (taylor -inf x) (#s(alt #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (+ -3 (/ (+ -1 (/ -3 x)) x)) #s(literal -3 binary64)))) (patch #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (+ -3 (/ (+ -1 (/ -3 x)) x)) #s(literal -3 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 x) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 x) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 x) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 x) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 x) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 x) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 x) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 x) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ -3 (pow x 2)) (taylor 0 x) (#s(alt #s(approx (+ -3 (/ (+ -1 (/ -3 x)) x)) #s(literal -3 binary64)) (patch #s(approx (+ -3 (/ (+ -1 (/ -3 x)) x)) #s(literal -3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* -1 x) 3) (pow x 2)) (taylor 0 x) (#s(alt #s(approx (+ -3 (/ (+ -1 (/ -3 x)) x)) #s(literal -3 binary64)) (patch #s(approx (+ -3 (/ (+ -1 (/ -3 x)) x)) #s(literal -3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* x (- (* -3 x) 1)) 3) (pow x 2)) (taylor 0 x) (#s(alt #s(approx (+ -3 (/ (+ -1 (/ -3 x)) x)) #s(literal -3 binary64)) (patch #s(approx (+ -3 (/ (+ -1 (/ -3 x)) x)) #s(literal -3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* x (- (* -3 x) 1)) 3) (pow x 2)) (taylor 0 x) (#s(alt #s(approx (+ -3 (/ (+ -1 (/ -3 x)) x)) #s(literal -3 binary64)) (patch #s(approx (+ -3 (/ (+ -1 (/ -3 x)) x)) #s(literal -3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt -3 (taylor inf x) (#s(alt #s(approx (+ -3 (/ (+ -1 (/ -3 x)) x)) #s(literal -3 binary64)) (patch #s(approx (+ -3 (/ (+ -1 (/ -3 x)) x)) #s(literal -3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (+ 3 (/ 1 x))) (taylor inf x) (#s(alt #s(approx (+ -3 (/ (+ -1 (/ -3 x)) x)) #s(literal -3 binary64)) (patch #s(approx (+ -3 (/ (+ -1 (/ -3 x)) x)) #s(literal -3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) (taylor inf x) (#s(alt #s(approx (+ -3 (/ (+ -1 (/ -3 x)) x)) #s(literal -3 binary64)) (patch #s(approx (+ -3 (/ (+ -1 (/ -3 x)) x)) #s(literal -3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) (taylor inf x) (#s(alt #s(approx (+ -3 (/ (+ -1 (/ -3 x)) x)) #s(literal -3 binary64)) (patch #s(approx (+ -3 (/ (+ -1 (/ -3 x)) x)) #s(literal -3 binary64)) #<representation binary64>) () ())) ()) |
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#s(alt (/ (- 1 (/ 1 (pow x 3))) (pow x 2)) (taylor inf x) (#s(alt (/.f64 x (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (patch (/.f64 x (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (+ 1 (/ 1 (pow x 6))) (/ 1 (pow x 3))) (pow x 2)) (taylor inf x) (#s(alt (/.f64 x (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (patch (/.f64 x (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (+ 1 (/ 1 (pow x 6))) (+ (/ 1 (pow x 3)) (/ 1 (pow x 9)))) (pow x 2)) (taylor inf x) (#s(alt (/.f64 x (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (patch (/.f64 x (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 x (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (patch (/.f64 x (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- 1 (/ 1 (pow x 3))) (pow x 2)) (taylor -inf x) (#s(alt (/.f64 x (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (patch (/.f64 x (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 1 (* -1 (/ (- 1 (/ 1 (pow x 3))) (pow x 3)))) (pow x 2)) (taylor -inf x) (#s(alt (/.f64 x (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (patch (/.f64 x (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 (pow x 3))) (pow x 3)))) (pow x 3)))) (pow x 2)) (taylor -inf x) (#s(alt (/.f64 x (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (patch (/.f64 x (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 x) (#s(alt (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (patch (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (pow x 3)) (taylor 0 x) (#s(alt (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (patch (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (pow x 3)) (taylor 0 x) (#s(alt (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (patch (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (pow x 3)) (taylor 0 x) (#s(alt (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (patch (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor inf x) (#s(alt (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (patch (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 3) (+ 1 (/ 1 (pow x 3)))) (taylor inf x) (#s(alt (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (patch (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 3) (+ 1 (/ 1 (pow x 3)))) (taylor inf x) (#s(alt (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (patch (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 3) (+ 1 (/ 1 (pow x 3)))) (taylor inf x) (#s(alt (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (patch (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor -inf x) (#s(alt (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (patch (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 3) (+ 1 (/ 1 (pow x 3)))) (taylor -inf x) (#s(alt (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (patch (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 3) (+ 1 (/ 1 (pow x 3)))) (taylor -inf x) (#s(alt (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (patch (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 3) (+ 1 (/ 1 (pow x 3)))) (taylor -inf x) (#s(alt (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (patch (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 x) (taylor 0 x) (#s(alt (/.f64 #s(literal -1 binary64) x) (patch (/.f64 #s(literal -1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 x) (taylor 0 x) (#s(alt (/.f64 #s(literal -1 binary64) x) (patch (/.f64 #s(literal -1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 x) (taylor 0 x) (#s(alt (/.f64 #s(literal -1 binary64) x) (patch (/.f64 #s(literal -1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 x) (taylor 0 x) (#s(alt (/.f64 #s(literal -1 binary64) x) (patch (/.f64 #s(literal -1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 x) (taylor inf x) (#s(alt (/.f64 #s(literal -1 binary64) x) (patch (/.f64 #s(literal -1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 x) (taylor inf x) (#s(alt (/.f64 #s(literal -1 binary64) x) (patch (/.f64 #s(literal -1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 x) (taylor inf x) (#s(alt (/.f64 #s(literal -1 binary64) x) (patch (/.f64 #s(literal -1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 x) (taylor inf x) (#s(alt (/.f64 #s(literal -1 binary64) x) (patch (/.f64 #s(literal -1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 x) (taylor -inf x) (#s(alt (/.f64 #s(literal -1 binary64) x) (patch (/.f64 #s(literal -1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 x) (taylor -inf x) (#s(alt (/.f64 #s(literal -1 binary64) x) (patch (/.f64 #s(literal -1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 x) (taylor -inf x) (#s(alt (/.f64 #s(literal -1 binary64) x) (patch (/.f64 #s(literal -1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 x) (taylor -inf x) (#s(alt (/.f64 #s(literal -1 binary64) x) (patch (/.f64 #s(literal -1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor 0 x) (#s(alt (*.f64 x (*.f64 x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor 0 x) (#s(alt (*.f64 x (*.f64 x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor 0 x) (#s(alt (*.f64 x (*.f64 x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor 0 x) (#s(alt (*.f64 x (*.f64 x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor inf x) (#s(alt (*.f64 x (*.f64 x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor inf x) (#s(alt (*.f64 x (*.f64 x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor inf x) (#s(alt (*.f64 x (*.f64 x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor inf x) (#s(alt (*.f64 x (*.f64 x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor -inf x) (#s(alt (*.f64 x (*.f64 x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor -inf x) (#s(alt (*.f64 x (*.f64 x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor -inf x) (#s(alt (*.f64 x (*.f64 x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor -inf x) (#s(alt (*.f64 x (*.f64 x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 x) (#s(alt (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) (patch (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 x)) (taylor 0 x) (#s(alt (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) (patch (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* x (- x 1))) (taylor 0 x) (#s(alt (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) (patch (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* x (- x 1))) (taylor 0 x) (#s(alt (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) (patch (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor inf x) (#s(alt (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) (patch (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- 1 (/ 1 x))) (taylor inf x) (#s(alt (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) (patch (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- (+ 1 (/ 1 (pow x 2))) (/ 1 x))) (taylor inf x) (#s(alt (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) (patch (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- (+ 1 (/ 1 (pow x 2))) (/ 1 x))) (taylor inf x) (#s(alt (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) (patch (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor -inf x) (#s(alt (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) (patch (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- 1 (/ 1 x))) (taylor -inf x) (#s(alt (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) (patch (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1 (* -1 (/ (- 1 (/ 1 x)) x)))) (taylor -inf x) (#s(alt (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) (patch (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1 (* -1 (/ (- 1 (/ 1 x)) x)))) (taylor -inf x) (#s(alt (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) (patch (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) #<representation binary64>) () ())) ()) |
66 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | inf | (/ x (+ (* x (* x x)) 1)) |
| 0.0ms | x | @ | -inf | (/ x (+ (* x (* x x)) 1)) |
| 0.0ms | x | @ | inf | (+ (* (/ x (+ (* x (* x x)) 1)) (- (+ (* x x) 1) x)) (/ (+ x 1) (+ (neg x) 1))) |
| 0.0ms | x | @ | -inf | (+ (* (/ x (+ (* x (* x x)) 1)) (- (+ (* x x) 1) x)) (/ (+ x 1) (+ (neg x) 1))) |
| 0.0ms | x | @ | -inf | (* x (* x x)) |
| 1× | egg-herbie |
| 12 216× | lower-fma.f64 |
| 12 216× | lower-fma.f32 |
| 3 332× | lower-*.f64 |
| 3 332× | lower-*.f32 |
| 2 142× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 140 | 1895 |
| 1 | 398 | 1801 |
| 2 | 1190 | 1660 |
| 3 | 4192 | 1642 |
| 0 | 8012 | 1573 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ -3 (pow x 3)) |
(/ (- (* -1 x) 3) (pow x 3)) |
(/ (- (* x (- (* -3 x) 1)) 3) (pow x 3)) |
(/ (- (* x (- (* -3 x) 1)) 3) (pow x 3)) |
(/ -3 x) |
(* -1 (/ (+ 3 (/ 1 x)) x)) |
(/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x) |
(/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x) |
(/ -3 x) |
(* -1 (/ (+ 3 (/ 1 x)) x)) |
(* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x)) |
(* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x)) |
1 |
(+ 1 (* 3 x)) |
(+ 1 (* x (+ 3 x))) |
(+ 1 (* x (+ 3 (* x (+ 1 (* 3 x)))))) |
(/ -3 x) |
(* -1 (/ (+ 3 (/ 1 x)) x)) |
(/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x) |
(/ (- (* -1 (/ (+ 3 (/ 1 x)) (pow x 2))) (+ 3 (/ 1 x))) x) |
(/ -3 x) |
(* -1 (/ (+ 3 (/ 1 x)) x)) |
(* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x)) |
(* -1 (/ (+ 3 (* -1 (/ (- (* -1 (/ (+ 3 (/ 1 x)) x)) 1) x))) x)) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ -3 (pow x 2)) |
(/ (- (* -1 x) 3) (pow x 2)) |
(/ (- (* x (- (* -3 x) 1)) 3) (pow x 2)) |
(/ (- (* x (- (* -3 x) 1)) 3) (pow x 2)) |
-3 |
(* -1 (+ 3 (/ 1 x))) |
(- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) |
(- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) |
-3 |
(* -1 (+ 3 (/ 1 x))) |
(- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) |
(- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) |
1 |
(+ 1 (* 3 x)) |
(+ 1 (* x (+ 3 x))) |
(+ 1 (* x (+ 3 x))) |
(pow x 2) |
(* (pow x 2) (+ 1 (* 3 (/ 1 x)))) |
(* (pow x 2) (+ 1 (+ (* 3 (/ 1 x)) (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1 (+ (* 3 (/ 1 x)) (/ 1 (pow x 2))))) |
(pow x 2) |
(* (pow x 2) (+ 1 (* 3 (/ 1 x)))) |
(* (pow x 2) (+ 1 (+ (* 3 (/ 1 x)) (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1 (+ (* 3 (/ 1 x)) (/ 1 (pow x 2))))) |
1 |
(+ 1 (* 3 x)) |
(+ 1 (* x (+ 3 x))) |
(+ 1 (* x (+ 3 (* x (+ 1 (* 3 x)))))) |
(/ -3 x) |
(* -1 (/ (+ 3 (/ 1 x)) x)) |
(/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x) |
(/ (- (* -1 (/ (+ 3 (/ 1 x)) (pow x 2))) (+ 3 (/ 1 x))) x) |
(/ -3 x) |
(* -1 (/ (+ 3 (/ 1 x)) x)) |
(* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x)) |
(* -1 (/ (+ 3 (* -1 (/ (- (* -1 (/ (+ 3 (/ 1 x)) x)) 1) x))) x)) |
(* 3 x) |
(* x (+ 3 x)) |
(* x (+ 3 x)) |
(* x (+ 3 x)) |
(pow x 2) |
(* (pow x 2) (+ 1 (* 3 (/ 1 x)))) |
(* (pow x 2) (+ 1 (* 3 (/ 1 x)))) |
(* (pow x 2) (+ 1 (* 3 (/ 1 x)))) |
(pow x 2) |
(* (pow x 2) (+ 1 (* 3 (/ 1 x)))) |
(* (pow x 2) (+ 1 (* 3 (/ 1 x)))) |
(* (pow x 2) (+ 1 (* 3 (/ 1 x)))) |
3 |
(+ 3 x) |
(+ 3 x) |
(+ 3 x) |
x |
(* x (+ 1 (* 3 (/ 1 x)))) |
(* x (+ 1 (* 3 (/ 1 x)))) |
(* x (+ 1 (* 3 (/ 1 x)))) |
x |
(* x (+ 1 (* 3 (/ 1 x)))) |
(* x (+ 1 (* 3 (/ 1 x)))) |
(* x (+ 1 (* 3 (/ 1 x)))) |
(/ -1 (pow x 2)) |
(/ (- (* -3 x) 1) (pow x 2)) |
(/ (- (* -3 x) 1) (pow x 2)) |
(/ (- (* -3 x) 1) (pow x 2)) |
(/ -3 x) |
(* -1 (/ (+ 3 (/ 1 x)) x)) |
(* -1 (/ (+ 3 (/ 1 x)) x)) |
(* -1 (/ (+ 3 (/ 1 x)) x)) |
(/ -3 x) |
(* -1 (/ (+ 3 (/ 1 x)) x)) |
(* -1 (/ (+ 3 (/ 1 x)) x)) |
(* -1 (/ (+ 3 (/ 1 x)) x)) |
1 |
(+ 1 (* 3 x)) |
(+ 1 (* x (+ 3 x))) |
(+ 1 (* x (+ 3 (* x (+ 1 (* 3 x)))))) |
(/ -3 x) |
(* -1 (/ (+ 3 (/ 1 x)) x)) |
(/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x) |
(/ (- (* -1 (/ (+ 3 (/ 1 x)) (pow x 2))) (+ 3 (/ 1 x))) x) |
(/ -3 x) |
(* -1 (/ (+ 3 (/ 1 x)) x)) |
(* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x)) |
(* -1 (/ (+ 3 (* -1 (/ (- (* -1 (/ (+ 3 (/ 1 x)) x)) 1) x))) x)) |
(/ -1 x) |
(/ (- (* -3 x) 1) x) |
(/ (- (* -3 x) 1) x) |
(/ (- (* -3 x) 1) x) |
-3 |
(* -1 (+ 3 (/ 1 x))) |
(* -1 (+ 3 (/ 1 x))) |
(* -1 (+ 3 (/ 1 x))) |
-3 |
(* -1 (+ 3 (/ 1 x))) |
(* -1 (+ 3 (/ 1 x))) |
(* -1 (+ 3 (/ 1 x))) |
1 |
(+ 1 (* 3 x)) |
(+ 1 (* x (+ 3 x))) |
(+ 1 (* x (+ 3 (* x (+ 1 (* 3 x)))))) |
(/ -3 x) |
(* -1 (/ (+ 3 (/ 1 x)) x)) |
(/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x) |
(/ (- (* -1 (/ (+ 3 (/ 1 x)) (pow x 2))) (+ 3 (/ 1 x))) x) |
(/ -3 x) |
(* -1 (/ (+ 3 (/ 1 x)) x)) |
(* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x)) |
(* -1 (/ (+ 3 (* -1 (/ (- (* -1 (/ (+ 3 (/ 1 x)) x)) 1) x))) x)) |
(/ -1 (pow x 4)) |
(/ (- (* -3 x) 1) (pow x 4)) |
(/ (- (* x (- (* -1 x) 3)) 1) (pow x 4)) |
(/ (- (* x (- (* x (- (* -3 x) 1)) 3)) 1) (pow x 4)) |
(/ -3 x) |
(* -1 (/ (+ 3 (/ 1 x)) x)) |
(/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x) |
(/ (- (* -1 (/ (+ 3 (/ 1 x)) (pow x 2))) (+ 3 (/ 1 x))) x) |
(/ -3 x) |
(* -1 (/ (+ 3 (/ 1 x)) x)) |
(* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x)) |
(* -1 (/ (+ 3 (* -1 (/ (- (* -1 (/ (+ 3 (/ 1 x)) x)) 1) x))) x)) |
(/ -1 (pow x 4)) |
(/ (- (* -3 x) 1) (pow x 4)) |
(/ (- (* x (- (* -1 x) 3)) 1) (pow x 4)) |
(/ (- (* x (- (* x (- (* -3 x) 1)) 3)) 1) (pow x 4)) |
(/ -3 x) |
(* -1 (/ (+ 3 (/ 1 x)) x)) |
(/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x) |
(/ (- (* -1 (/ (+ 3 (/ 1 x)) (pow x 2))) (+ 3 (/ 1 x))) x) |
(/ -3 x) |
(* -1 (/ (+ 3 (/ 1 x)) x)) |
(* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x)) |
(* -1 (/ (+ 3 (* -1 (/ (- (* -1 (/ (+ 3 (/ 1 x)) x)) 1) x))) x)) |
-1 |
(- (* -3 x) 1) |
(- (* x (- (* -1 x) 3)) 1) |
(- (* x (- (* x (- (* -3 x) 1)) 3)) 1) |
(* -3 (pow x 3)) |
(* -1 (* (pow x 3) (+ 3 (/ 1 x)))) |
(* (pow x 3) (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3)) |
(* (pow x 3) (- (* -1 (/ (+ 3 (/ 1 x)) (pow x 2))) (+ 3 (/ 1 x)))) |
(* -3 (pow x 3)) |
(* -1 (* (pow x 3) (+ 3 (/ 1 x)))) |
(* -1 (* (pow x 3) (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))))) |
(* -1 (* (pow x 3) (+ 3 (* -1 (/ (- (* -1 (/ (+ 3 (/ 1 x)) x)) 1) x))))) |
1 |
(+ 1 (* -1 x)) |
(+ 1 (* -1 x)) |
(+ 1 (* -1 x)) |
(* -1 x) |
(* x (- (/ 1 x) 1)) |
(* x (- (/ 1 x) 1)) |
(* x (- (/ 1 x) 1)) |
(* -1 x) |
(* -1 (* x (- 1 (/ 1 x)))) |
(* -1 (* x (- 1 (/ 1 x)))) |
(* -1 (* x (- 1 (/ 1 x)))) |
1 |
(+ 1 (* 3 x)) |
(+ 1 (* x (+ 3 x))) |
(+ 1 (* x (+ 3 (* x (+ 1 (* 3 x)))))) |
(/ -3 x) |
(* -1 (/ (+ 3 (/ 1 x)) x)) |
(/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x) |
(/ (- (* -1 (/ (+ 3 (/ 1 x)) (pow x 2))) (+ 3 (/ 1 x))) x) |
(/ -3 x) |
(* -1 (/ (+ 3 (/ 1 x)) x)) |
(* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x)) |
(* -1 (/ (+ 3 (* -1 (/ (- (* -1 (/ (+ 3 (/ 1 x)) x)) 1) x))) x)) |
x |
(* x (+ 1 (* -1 (pow x 3)))) |
(* x (+ 1 (* (pow x 3) (- (pow x 3) 1)))) |
(* x (+ 1 (* (pow x 3) (- (* (pow x 3) (+ 1 (* -1 (pow x 3)))) 1)))) |
(/ 1 (pow x 2)) |
(/ (- 1 (/ 1 (pow x 3))) (pow x 2)) |
(/ (- (+ 1 (/ 1 (pow x 6))) (/ 1 (pow x 3))) (pow x 2)) |
(/ (- (+ 1 (/ 1 (pow x 6))) (+ (/ 1 (pow x 3)) (/ 1 (pow x 9)))) (pow x 2)) |
(/ 1 (pow x 2)) |
(/ (- 1 (/ 1 (pow x 3))) (pow x 2)) |
(/ (+ 1 (* -1 (/ (- 1 (/ 1 (pow x 3))) (pow x 3)))) (pow x 2)) |
(/ (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 (pow x 3))) (pow x 3)))) (pow x 3)))) (pow x 2)) |
1 |
(+ 1 (pow x 3)) |
(+ 1 (pow x 3)) |
(+ 1 (pow x 3)) |
(pow x 3) |
(* (pow x 3) (+ 1 (/ 1 (pow x 3)))) |
(* (pow x 3) (+ 1 (/ 1 (pow x 3)))) |
(* (pow x 3) (+ 1 (/ 1 (pow x 3)))) |
(pow x 3) |
(* (pow x 3) (+ 1 (/ 1 (pow x 3)))) |
(* (pow x 3) (+ 1 (/ 1 (pow x 3)))) |
(* (pow x 3) (+ 1 (/ 1 (pow x 3)))) |
(/ -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 x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
1 |
(+ 1 (* -1 x)) |
(+ 1 (* x (- x 1))) |
(+ 1 (* x (- x 1))) |
(pow x 2) |
(* (pow x 2) (- 1 (/ 1 x))) |
(* (pow x 2) (- (+ 1 (/ 1 (pow x 2))) (/ 1 x))) |
(* (pow x 2) (- (+ 1 (/ 1 (pow x 2))) (/ 1 x))) |
(pow x 2) |
(* (pow x 2) (- 1 (/ 1 x))) |
(* (pow x 2) (+ 1 (* -1 (/ (- 1 (/ 1 x)) x)))) |
(* (pow x 2) (+ 1 (* -1 (/ (- 1 (/ 1 x)) x)))) |
| Outputs |
|---|
(/ -3 (pow x 3)) |
(/.f64 #s(literal -3 binary64) (*.f64 x (*.f64 x x))) |
(/ (- (* -1 x) 3) (pow x 3)) |
(/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x (*.f64 x x))) |
(/ (- (* x (- (* -3 x) 1)) 3) (pow x 3)) |
(/.f64 (fma.f64 x (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)) #s(literal -3 binary64)) (*.f64 x (*.f64 x x))) |
(/ (- (* x (- (* -3 x) 1)) 3) (pow x 3)) |
(/.f64 (fma.f64 x (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)) #s(literal -3 binary64)) (*.f64 x (*.f64 x x))) |
(/ -3 x) |
(/.f64 #s(literal -3 binary64) x) |
(* -1 (/ (+ 3 (/ 1 x)) x)) |
(/.f64 (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)) (*.f64 x x)) |
(/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x) |
(/.f64 (fma.f64 x (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)) #s(literal -3 binary64)) (*.f64 x (*.f64 x x))) |
(/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x) |
(/.f64 (fma.f64 x (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)) #s(literal -3 binary64)) (*.f64 x (*.f64 x x))) |
(/ -3 x) |
(/.f64 #s(literal -3 binary64) x) |
(* -1 (/ (+ 3 (/ 1 x)) x)) |
(/.f64 (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)) (*.f64 x x)) |
(* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x)) |
(/.f64 (fma.f64 x (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)) #s(literal -3 binary64)) (*.f64 x (*.f64 x x))) |
(* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x)) |
(/.f64 (fma.f64 x (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)) #s(literal -3 binary64)) (*.f64 x (*.f64 x x))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 3 x)) |
(fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)) |
(+ 1 (* x (+ 3 x))) |
(fma.f64 x (+.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) |
(+ 1 (* x (+ 3 (* x (+ 1 (* 3 x)))))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))) |
(/ -3 x) |
(/.f64 #s(literal -3 binary64) x) |
(* -1 (/ (+ 3 (/ 1 x)) x)) |
(/.f64 (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)) (*.f64 x x)) |
(/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x) |
(/.f64 (fma.f64 x (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)) #s(literal -3 binary64)) (*.f64 x (*.f64 x x))) |
(/ (- (* -1 (/ (+ 3 (/ 1 x)) (pow x 2))) (+ 3 (/ 1 x))) x) |
(*.f64 (/.f64 (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)) (*.f64 x (*.f64 x x))) (+.f64 x (/.f64 #s(literal 1 binary64) x))) |
(/ -3 x) |
(/.f64 #s(literal -3 binary64) x) |
(* -1 (/ (+ 3 (/ 1 x)) x)) |
(/.f64 (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)) (*.f64 x x)) |
(* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x)) |
(/.f64 (fma.f64 x (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)) #s(literal -3 binary64)) (*.f64 x (*.f64 x x))) |
(* -1 (/ (+ 3 (* -1 (/ (- (* -1 (/ (+ 3 (/ 1 x)) x)) 1) x))) x)) |
(*.f64 (/.f64 (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)) (*.f64 x (*.f64 x x))) (+.f64 x (/.f64 #s(literal 1 binary64) x))) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ -3 (pow x 2)) |
(/.f64 #s(literal -3 binary64) (*.f64 x x)) |
(/ (- (* -1 x) 3) (pow x 2)) |
(/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x)) |
(/ (- (* x (- (* -3 x) 1)) 3) (pow x 2)) |
(+.f64 #s(literal -3 binary64) (/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x))) |
(/ (- (* x (- (* -3 x) 1)) 3) (pow x 2)) |
(+.f64 #s(literal -3 binary64) (/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x))) |
-3 |
#s(literal -3 binary64) |
(* -1 (+ 3 (/ 1 x))) |
(+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) |
(- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) |
(+.f64 #s(literal -3 binary64) (/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x))) |
(- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) |
(+.f64 #s(literal -3 binary64) (/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x))) |
-3 |
#s(literal -3 binary64) |
(* -1 (+ 3 (/ 1 x))) |
(+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) |
(- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) |
(+.f64 #s(literal -3 binary64) (/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x))) |
(- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) |
(+.f64 #s(literal -3 binary64) (/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 3 x)) |
(fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)) |
(+ 1 (* x (+ 3 x))) |
(fma.f64 x (+.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) |
(+ 1 (* x (+ 3 x))) |
(fma.f64 x (+.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (* 3 (/ 1 x)))) |
(*.f64 x (+.f64 x #s(literal 3 binary64))) |
(* (pow x 2) (+ 1 (+ (* 3 (/ 1 x)) (/ 1 (pow x 2))))) |
(fma.f64 x (+.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) |
(* (pow x 2) (+ 1 (+ (* 3 (/ 1 x)) (/ 1 (pow x 2))))) |
(fma.f64 x (+.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (* 3 (/ 1 x)))) |
(*.f64 x (+.f64 x #s(literal 3 binary64))) |
(* (pow x 2) (+ 1 (+ (* 3 (/ 1 x)) (/ 1 (pow x 2))))) |
(fma.f64 x (+.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) |
(* (pow x 2) (+ 1 (+ (* 3 (/ 1 x)) (/ 1 (pow x 2))))) |
(fma.f64 x (+.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 3 x)) |
(fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)) |
(+ 1 (* x (+ 3 x))) |
(fma.f64 x (+.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) |
(+ 1 (* x (+ 3 (* x (+ 1 (* 3 x)))))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))) |
(/ -3 x) |
(/.f64 #s(literal -3 binary64) x) |
(* -1 (/ (+ 3 (/ 1 x)) x)) |
(/.f64 (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)) (*.f64 x x)) |
(/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x) |
(/.f64 (fma.f64 x (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)) #s(literal -3 binary64)) (*.f64 x (*.f64 x x))) |
(/ (- (* -1 (/ (+ 3 (/ 1 x)) (pow x 2))) (+ 3 (/ 1 x))) x) |
(*.f64 (/.f64 (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)) (*.f64 x (*.f64 x x))) (+.f64 x (/.f64 #s(literal 1 binary64) x))) |
(/ -3 x) |
(/.f64 #s(literal -3 binary64) x) |
(* -1 (/ (+ 3 (/ 1 x)) x)) |
(/.f64 (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)) (*.f64 x x)) |
(* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x)) |
(/.f64 (fma.f64 x (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)) #s(literal -3 binary64)) (*.f64 x (*.f64 x x))) |
(* -1 (/ (+ 3 (* -1 (/ (- (* -1 (/ (+ 3 (/ 1 x)) x)) 1) x))) x)) |
(*.f64 (/.f64 (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)) (*.f64 x (*.f64 x x))) (+.f64 x (/.f64 #s(literal 1 binary64) x))) |
(* 3 x) |
(*.f64 x #s(literal 3 binary64)) |
(* x (+ 3 x)) |
(*.f64 x (+.f64 x #s(literal 3 binary64))) |
(* x (+ 3 x)) |
(*.f64 x (+.f64 x #s(literal 3 binary64))) |
(* x (+ 3 x)) |
(*.f64 x (+.f64 x #s(literal 3 binary64))) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (* 3 (/ 1 x)))) |
(*.f64 x (+.f64 x #s(literal 3 binary64))) |
(* (pow x 2) (+ 1 (* 3 (/ 1 x)))) |
(*.f64 x (+.f64 x #s(literal 3 binary64))) |
(* (pow x 2) (+ 1 (* 3 (/ 1 x)))) |
(*.f64 x (+.f64 x #s(literal 3 binary64))) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (* 3 (/ 1 x)))) |
(*.f64 x (+.f64 x #s(literal 3 binary64))) |
(* (pow x 2) (+ 1 (* 3 (/ 1 x)))) |
(*.f64 x (+.f64 x #s(literal 3 binary64))) |
(* (pow x 2) (+ 1 (* 3 (/ 1 x)))) |
(*.f64 x (+.f64 x #s(literal 3 binary64))) |
3 |
#s(literal 3 binary64) |
(+ 3 x) |
(+.f64 x #s(literal 3 binary64)) |
(+ 3 x) |
(+.f64 x #s(literal 3 binary64)) |
(+ 3 x) |
(+.f64 x #s(literal 3 binary64)) |
x |
(* x (+ 1 (* 3 (/ 1 x)))) |
(+.f64 x #s(literal 3 binary64)) |
(* x (+ 1 (* 3 (/ 1 x)))) |
(+.f64 x #s(literal 3 binary64)) |
(* x (+ 1 (* 3 (/ 1 x)))) |
(+.f64 x #s(literal 3 binary64)) |
x |
(* x (+ 1 (* 3 (/ 1 x)))) |
(+.f64 x #s(literal 3 binary64)) |
(* x (+ 1 (* 3 (/ 1 x)))) |
(+.f64 x #s(literal 3 binary64)) |
(* x (+ 1 (* 3 (/ 1 x)))) |
(+.f64 x #s(literal 3 binary64)) |
(/ -1 (pow x 2)) |
(/.f64 #s(literal -1 binary64) (*.f64 x x)) |
(/ (- (* -3 x) 1) (pow x 2)) |
(/.f64 (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)) (*.f64 x x)) |
(/ (- (* -3 x) 1) (pow x 2)) |
(/.f64 (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)) (*.f64 x x)) |
(/ (- (* -3 x) 1) (pow x 2)) |
(/.f64 (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)) (*.f64 x x)) |
(/ -3 x) |
(/.f64 #s(literal -3 binary64) x) |
(* -1 (/ (+ 3 (/ 1 x)) x)) |
(/.f64 (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)) (*.f64 x x)) |
(* -1 (/ (+ 3 (/ 1 x)) x)) |
(/.f64 (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)) (*.f64 x x)) |
(* -1 (/ (+ 3 (/ 1 x)) x)) |
(/.f64 (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)) (*.f64 x x)) |
(/ -3 x) |
(/.f64 #s(literal -3 binary64) x) |
(* -1 (/ (+ 3 (/ 1 x)) x)) |
(/.f64 (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)) (*.f64 x x)) |
(* -1 (/ (+ 3 (/ 1 x)) x)) |
(/.f64 (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)) (*.f64 x x)) |
(* -1 (/ (+ 3 (/ 1 x)) x)) |
(/.f64 (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)) (*.f64 x x)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 3 x)) |
(fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)) |
(+ 1 (* x (+ 3 x))) |
(fma.f64 x (+.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) |
(+ 1 (* x (+ 3 (* x (+ 1 (* 3 x)))))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))) |
(/ -3 x) |
(/.f64 #s(literal -3 binary64) x) |
(* -1 (/ (+ 3 (/ 1 x)) x)) |
(/.f64 (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)) (*.f64 x x)) |
(/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x) |
(/.f64 (fma.f64 x (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)) #s(literal -3 binary64)) (*.f64 x (*.f64 x x))) |
(/ (- (* -1 (/ (+ 3 (/ 1 x)) (pow x 2))) (+ 3 (/ 1 x))) x) |
(*.f64 (/.f64 (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)) (*.f64 x (*.f64 x x))) (+.f64 x (/.f64 #s(literal 1 binary64) x))) |
(/ -3 x) |
(/.f64 #s(literal -3 binary64) x) |
(* -1 (/ (+ 3 (/ 1 x)) x)) |
(/.f64 (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)) (*.f64 x x)) |
(* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x)) |
(/.f64 (fma.f64 x (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)) #s(literal -3 binary64)) (*.f64 x (*.f64 x x))) |
(* -1 (/ (+ 3 (* -1 (/ (- (* -1 (/ (+ 3 (/ 1 x)) x)) 1) x))) x)) |
(*.f64 (/.f64 (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)) (*.f64 x (*.f64 x x))) (+.f64 x (/.f64 #s(literal 1 binary64) x))) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(/ (- (* -3 x) 1) x) |
(+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) |
(/ (- (* -3 x) 1) x) |
(+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) |
(/ (- (* -3 x) 1) x) |
(+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) |
-3 |
#s(literal -3 binary64) |
(* -1 (+ 3 (/ 1 x))) |
(+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) |
(* -1 (+ 3 (/ 1 x))) |
(+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) |
(* -1 (+ 3 (/ 1 x))) |
(+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) |
-3 |
#s(literal -3 binary64) |
(* -1 (+ 3 (/ 1 x))) |
(+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) |
(* -1 (+ 3 (/ 1 x))) |
(+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) |
(* -1 (+ 3 (/ 1 x))) |
(+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 3 x)) |
(fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)) |
(+ 1 (* x (+ 3 x))) |
(fma.f64 x (+.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) |
(+ 1 (* x (+ 3 (* x (+ 1 (* 3 x)))))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))) |
(/ -3 x) |
(/.f64 #s(literal -3 binary64) x) |
(* -1 (/ (+ 3 (/ 1 x)) x)) |
(/.f64 (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)) (*.f64 x x)) |
(/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x) |
(/.f64 (fma.f64 x (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)) #s(literal -3 binary64)) (*.f64 x (*.f64 x x))) |
(/ (- (* -1 (/ (+ 3 (/ 1 x)) (pow x 2))) (+ 3 (/ 1 x))) x) |
(*.f64 (/.f64 (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)) (*.f64 x (*.f64 x x))) (+.f64 x (/.f64 #s(literal 1 binary64) x))) |
(/ -3 x) |
(/.f64 #s(literal -3 binary64) x) |
(* -1 (/ (+ 3 (/ 1 x)) x)) |
(/.f64 (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)) (*.f64 x x)) |
(* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x)) |
(/.f64 (fma.f64 x (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)) #s(literal -3 binary64)) (*.f64 x (*.f64 x x))) |
(* -1 (/ (+ 3 (* -1 (/ (- (* -1 (/ (+ 3 (/ 1 x)) x)) 1) x))) x)) |
(*.f64 (/.f64 (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)) (*.f64 x (*.f64 x x))) (+.f64 x (/.f64 #s(literal 1 binary64) x))) |
(/ -1 (pow x 4)) |
(/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/ (- (* -3 x) 1) (pow x 4)) |
(/.f64 (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/ (- (* x (- (* -1 x) 3)) 1) (pow x 4)) |
(/.f64 (fma.f64 x (-.f64 #s(literal -3 binary64) x) #s(literal -1 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/ (- (* x (- (* x (- (* -3 x) 1)) 3)) 1) (pow x 4)) |
(/.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/ -3 x) |
(/.f64 #s(literal -3 binary64) x) |
(* -1 (/ (+ 3 (/ 1 x)) x)) |
(/.f64 (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)) (*.f64 x x)) |
(/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x) |
(/.f64 (fma.f64 x (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)) #s(literal -3 binary64)) (*.f64 x (*.f64 x x))) |
(/ (- (* -1 (/ (+ 3 (/ 1 x)) (pow x 2))) (+ 3 (/ 1 x))) x) |
(*.f64 (/.f64 (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)) (*.f64 x (*.f64 x x))) (+.f64 x (/.f64 #s(literal 1 binary64) x))) |
(/ -3 x) |
(/.f64 #s(literal -3 binary64) x) |
(* -1 (/ (+ 3 (/ 1 x)) x)) |
(/.f64 (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)) (*.f64 x x)) |
(* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x)) |
(/.f64 (fma.f64 x (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)) #s(literal -3 binary64)) (*.f64 x (*.f64 x x))) |
(* -1 (/ (+ 3 (* -1 (/ (- (* -1 (/ (+ 3 (/ 1 x)) x)) 1) x))) x)) |
(*.f64 (/.f64 (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)) (*.f64 x (*.f64 x x))) (+.f64 x (/.f64 #s(literal 1 binary64) x))) |
(/ -1 (pow x 4)) |
(/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/ (- (* -3 x) 1) (pow x 4)) |
(/.f64 (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/ (- (* x (- (* -1 x) 3)) 1) (pow x 4)) |
(/.f64 (fma.f64 x (-.f64 #s(literal -3 binary64) x) #s(literal -1 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/ (- (* x (- (* x (- (* -3 x) 1)) 3)) 1) (pow x 4)) |
(/.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/ -3 x) |
(/.f64 #s(literal -3 binary64) x) |
(* -1 (/ (+ 3 (/ 1 x)) x)) |
(/.f64 (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)) (*.f64 x x)) |
(/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x) |
(/.f64 (fma.f64 x (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)) #s(literal -3 binary64)) (*.f64 x (*.f64 x x))) |
(/ (- (* -1 (/ (+ 3 (/ 1 x)) (pow x 2))) (+ 3 (/ 1 x))) x) |
(*.f64 (/.f64 (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)) (*.f64 x (*.f64 x x))) (+.f64 x (/.f64 #s(literal 1 binary64) x))) |
(/ -3 x) |
(/.f64 #s(literal -3 binary64) x) |
(* -1 (/ (+ 3 (/ 1 x)) x)) |
(/.f64 (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)) (*.f64 x x)) |
(* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x)) |
(/.f64 (fma.f64 x (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)) #s(literal -3 binary64)) (*.f64 x (*.f64 x x))) |
(* -1 (/ (+ 3 (* -1 (/ (- (* -1 (/ (+ 3 (/ 1 x)) x)) 1) x))) x)) |
(*.f64 (/.f64 (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)) (*.f64 x (*.f64 x x))) (+.f64 x (/.f64 #s(literal 1 binary64) x))) |
-1 |
#s(literal -1 binary64) |
(- (* -3 x) 1) |
(fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)) |
(- (* x (- (* -1 x) 3)) 1) |
(fma.f64 x (-.f64 #s(literal -3 binary64) x) #s(literal -1 binary64)) |
(- (* x (- (* x (- (* -3 x) 1)) 3)) 1) |
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) |
(* -3 (pow x 3)) |
(*.f64 #s(literal -3 binary64) (*.f64 x (*.f64 x x))) |
(* -1 (* (pow x 3) (+ 3 (/ 1 x)))) |
(*.f64 x (*.f64 x (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)))) |
(* (pow x 3) (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3)) |
(*.f64 x (fma.f64 x (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)) #s(literal -3 binary64))) |
(* (pow x 3) (- (* -1 (/ (+ 3 (/ 1 x)) (pow x 2))) (+ 3 (/ 1 x)))) |
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) |
(* -3 (pow x 3)) |
(*.f64 #s(literal -3 binary64) (*.f64 x (*.f64 x x))) |
(* -1 (* (pow x 3) (+ 3 (/ 1 x)))) |
(*.f64 x (*.f64 x (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)))) |
(* -1 (* (pow x 3) (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))))) |
(*.f64 x (fma.f64 x (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)) #s(literal -3 binary64))) |
(* -1 (* (pow x 3) (+ 3 (* -1 (/ (- (* -1 (/ (+ 3 (/ 1 x)) x)) 1) x))))) |
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
(* -1 x) |
(neg.f64 x) |
(* x (- (/ 1 x) 1)) |
(-.f64 #s(literal 1 binary64) x) |
(* x (- (/ 1 x) 1)) |
(-.f64 #s(literal 1 binary64) x) |
(* x (- (/ 1 x) 1)) |
(-.f64 #s(literal 1 binary64) x) |
(* -1 x) |
(neg.f64 x) |
(* -1 (* x (- 1 (/ 1 x)))) |
(-.f64 #s(literal 1 binary64) x) |
(* -1 (* x (- 1 (/ 1 x)))) |
(-.f64 #s(literal 1 binary64) x) |
(* -1 (* x (- 1 (/ 1 x)))) |
(-.f64 #s(literal 1 binary64) x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 3 x)) |
(fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)) |
(+ 1 (* x (+ 3 x))) |
(fma.f64 x (+.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) |
(+ 1 (* x (+ 3 (* x (+ 1 (* 3 x)))))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))) |
(/ -3 x) |
(/.f64 #s(literal -3 binary64) x) |
(* -1 (/ (+ 3 (/ 1 x)) x)) |
(/.f64 (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)) (*.f64 x x)) |
(/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x) |
(/.f64 (fma.f64 x (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)) #s(literal -3 binary64)) (*.f64 x (*.f64 x x))) |
(/ (- (* -1 (/ (+ 3 (/ 1 x)) (pow x 2))) (+ 3 (/ 1 x))) x) |
(*.f64 (/.f64 (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)) (*.f64 x (*.f64 x x))) (+.f64 x (/.f64 #s(literal 1 binary64) x))) |
(/ -3 x) |
(/.f64 #s(literal -3 binary64) x) |
(* -1 (/ (+ 3 (/ 1 x)) x)) |
(/.f64 (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)) (*.f64 x x)) |
(* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x)) |
(/.f64 (fma.f64 x (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)) #s(literal -3 binary64)) (*.f64 x (*.f64 x x))) |
(* -1 (/ (+ 3 (* -1 (/ (- (* -1 (/ (+ 3 (/ 1 x)) x)) 1) x))) x)) |
(*.f64 (/.f64 (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)) (*.f64 x (*.f64 x x))) (+.f64 x (/.f64 #s(literal 1 binary64) x))) |
x |
(* x (+ 1 (* -1 (pow x 3)))) |
(fma.f64 (*.f64 x (*.f64 x x)) (neg.f64 x) x) |
(* x (+ 1 (* (pow x 3) (- (pow x 3) 1)))) |
(fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) x) |
(* x (+ 1 (* (pow x 3) (- (* (pow x 3) (+ 1 (* -1 (pow x 3)))) 1)))) |
(*.f64 x (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ (- 1 (/ 1 (pow x 3))) (pow x 2)) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 x x)) |
(/ (- (+ 1 (/ 1 (pow x 6))) (/ 1 (pow x 3))) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x x)))) (*.f64 x x)) |
(/ (- (+ 1 (/ 1 (pow x 6))) (+ (/ 1 (pow x 3)) (/ 1 (pow x 9)))) (pow x 2)) |
(/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 9 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x x))))) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ (- 1 (/ 1 (pow x 3))) (pow x 2)) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 x x)) |
(/ (+ 1 (* -1 (/ (- 1 (/ 1 (pow x 3))) (pow x 3)))) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x x)))) (*.f64 x x)) |
(/ (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 (pow x 3))) (pow x 3)))) (pow x 3)))) (pow x 2)) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x x)))) (*.f64 x x)) |
1 |
#s(literal 1 binary64) |
(+ 1 (pow x 3)) |
(fma.f64 x (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (pow x 3)) |
(fma.f64 x (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (pow x 3)) |
(fma.f64 x (*.f64 x x) #s(literal 1 binary64)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(* (pow x 3) (+ 1 (/ 1 (pow x 3)))) |
(fma.f64 x (*.f64 x x) #s(literal 1 binary64)) |
(* (pow x 3) (+ 1 (/ 1 (pow x 3)))) |
(fma.f64 x (*.f64 x x) #s(literal 1 binary64)) |
(* (pow x 3) (+ 1 (/ 1 (pow x 3)))) |
(fma.f64 x (*.f64 x x) #s(literal 1 binary64)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(* (pow x 3) (+ 1 (/ 1 (pow x 3)))) |
(fma.f64 x (*.f64 x x) #s(literal 1 binary64)) |
(* (pow x 3) (+ 1 (/ 1 (pow x 3)))) |
(fma.f64 x (*.f64 x x) #s(literal 1 binary64)) |
(* (pow x 3) (+ 1 (/ 1 (pow x 3)))) |
(fma.f64 x (*.f64 x x) #s(literal 1 binary64)) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
(+ 1 (* x (- x 1))) |
(-.f64 (fma.f64 x x #s(literal 1 binary64)) x) |
(+ 1 (* x (- x 1))) |
(-.f64 (fma.f64 x x #s(literal 1 binary64)) x) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (- 1 (/ 1 x))) |
(-.f64 (*.f64 x x) x) |
(* (pow x 2) (- (+ 1 (/ 1 (pow x 2))) (/ 1 x))) |
(-.f64 (fma.f64 x x #s(literal 1 binary64)) x) |
(* (pow x 2) (- (+ 1 (/ 1 (pow x 2))) (/ 1 x))) |
(-.f64 (fma.f64 x x #s(literal 1 binary64)) x) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (- 1 (/ 1 x))) |
(-.f64 (*.f64 x x) x) |
(* (pow x 2) (+ 1 (* -1 (/ (- 1 (/ 1 x)) x)))) |
(-.f64 (fma.f64 x x #s(literal 1 binary64)) x) |
(* (pow x 2) (+ 1 (* -1 (/ (- 1 (/ 1 x)) x)))) |
(-.f64 (fma.f64 x x #s(literal 1 binary64)) x) |
| 4 522× | lower-/.f32 |
| 4 512× | lower-/.f64 |
| 3 136× | lower-*.f32 |
| 3 122× | lower-*.f64 |
| 3 018× | lower-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 50 | 292 |
| 0 | 75 | 281 |
| 1 | 376 | 255 |
| 2 | 3808 | 255 |
| 0 | 8683 | 253 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (+ -3 (/ (+ -1 (/ -3 x)) x)) #s(literal -3 binary64))) |
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (+ -3 (/ (+ -1 (/ -3 x)) x)) #s(literal -3 binary64)))) |
(/.f64 #s(literal 1 binary64) x) |
#s(approx (+ -3 (/ (+ -1 (/ -3 x)) x)) #s(literal -3 binary64)) |
(+.f64 (*.f64 x (+.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) |
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (+.f64 (*.f64 x (+.f64 x #s(literal 3 binary64))) #s(literal 1 binary64))) |
(*.f64 x (+.f64 x #s(literal 3 binary64))) |
(+.f64 x #s(literal 3 binary64)) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x))) |
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)))) |
(+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) |
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) #s(approx (/ (* (+ 3 (/ 1 x)) (+ -1 (/ -1 (* x x)))) x) (/.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))) (*.f64 (*.f64 x (*.f64 x x)) x)))) |
#s(approx (/ (* (+ 3 (/ 1 x)) (+ -1 (/ -1 (* x x)))) x) (/.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))) (*.f64 (*.f64 x (*.f64 x x)) x))) |
(/.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))) (*.f64 (*.f64 x (*.f64 x x)) x)) |
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))) |
(+.f64 (neg.f64 x) #s(literal 1 binary64)) |
(fma.f64 (/.f64 x (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (neg.f64 x) #s(literal 1 binary64)))) |
(/.f64 x (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) |
(fma.f64 x (*.f64 x x) #s(literal 1 binary64)) |
(/.f64 #s(literal -1 binary64) x) |
(*.f64 x (*.f64 x x)) |
(-.f64 (fma.f64 x x #s(literal 1 binary64)) x) |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) (/.f64 x #s(approx (+ -3 (/ (+ -1 (/ -3 x)) x)) #s(literal -3 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x #s(approx (+ -3 (/ (+ -1 (/ -3 x)) x)) #s(literal -3 binary64))))) |
(/.f64 #s(approx (+ -3 (/ (+ -1 (/ -3 x)) x)) #s(literal -3 binary64)) x) |
(/.f64 (neg.f64 #s(approx (+ -3 (/ (+ -1 (/ -3 x)) x)) #s(literal -3 binary64))) (neg.f64 x)) |
(/.f64 (*.f64 #s(approx (+ -3 (/ (+ -1 (/ -3 x)) x)) #s(literal -3 binary64)) #s(literal -1 binary64)) (neg.f64 x)) |
(/.f64 (*.f64 #s(literal -1 binary64) #s(approx (+ -3 (/ (+ -1 (/ -3 x)) x)) #s(literal -3 binary64))) (neg.f64 x)) |
(/.f64 (neg.f64 (neg.f64 #s(approx (+ -3 (/ (+ -1 (/ -3 x)) x)) #s(literal -3 binary64)))) (neg.f64 (neg.f64 x))) |
(/.f64 (neg.f64 (*.f64 #s(approx (+ -3 (/ (+ -1 (/ -3 x)) x)) #s(literal -3 binary64)) #s(literal -1 binary64))) (neg.f64 (neg.f64 x))) |
(/.f64 (neg.f64 (*.f64 #s(literal -1 binary64) #s(approx (+ -3 (/ (+ -1 (/ -3 x)) x)) #s(literal -3 binary64)))) (neg.f64 (neg.f64 x))) |
(pow.f64 (/.f64 x #s(approx (+ -3 (/ (+ -1 (/ -3 x)) x)) #s(literal -3 binary64))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ -3 (/ (+ -1 (/ -3 x)) x)) #s(literal -3 binary64)) x)) |
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (+ -3 (/ (+ -1 (/ -3 x)) x)) #s(literal -3 binary64))) |
(*.f64 #s(approx (+ -3 (/ (+ -1 (/ -3 x)) x)) #s(literal -3 binary64)) (/.f64 #s(literal 1 binary64) x)) |
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(approx (+ -3 (/ (+ -1 (/ -3 x)) x)) #s(literal -3 binary64)) x)) |
(exp.f64 (neg.f64 (log.f64 x))) |
(neg.f64 (/.f64 #s(literal -1 binary64) x)) |
(/.f64 #s(literal 1 binary64) x) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 x))) |
(/.f64 #s(literal -1 binary64) (neg.f64 x)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (neg.f64 x)))) |
(pow.f64 x #s(literal -1 binary64)) |
(pow.f64 (*.f64 x x) #s(literal -1/2 binary64)) |
(pow.f64 (neg.f64 (neg.f64 x)) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))) |
#s(approx (+ -3 (/ (+ -1 (/ -3 x)) x)) #s(literal -3 binary64)) |
(*.f64 #s(literal 1 binary64) #s(approx (+ -3 (/ (+ -1 (/ -3 x)) x)) #s(literal -3 binary64))) |
(*.f64 #s(approx (+ -3 (/ (+ -1 (/ -3 x)) x)) #s(literal -3 binary64)) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 3 binary64)))) |
(+.f64 (*.f64 x (+.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) |
(+.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 x #s(literal 3 binary64))) |
(+.f64 (*.f64 x x) (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64))) |
(-.f64 (/.f64 (*.f64 (*.f64 x (+.f64 x #s(literal 3 binary64))) (*.f64 x (+.f64 x #s(literal 3 binary64)))) (fma.f64 x (+.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)))) |
(fma.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (*.f64 x x) (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64))) |
(fma.f64 x x (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64))) |
(fma.f64 x (+.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) |
(fma.f64 x (*.f64 (+.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x x)) (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64))) |
(fma.f64 (+.f64 x #s(literal 3 binary64)) x #s(literal 1 binary64)) |
(fma.f64 (*.f64 x (+.f64 x #s(literal 3 binary64))) #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x x) #s(literal 1 binary64) (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64))) |
(fma.f64 (neg.f64 x) (neg.f64 x) (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (*.f64 x #s(literal 3 binary64))) |
(fma.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (*.f64 x #s(literal 3 binary64))) |
(fma.f64 (*.f64 (neg.f64 x) #s(literal -1 binary64)) x (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x (+.f64 x #s(literal 3 binary64))) (*.f64 x (+.f64 x #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 3 binary64))))) (fma.f64 (*.f64 x (+.f64 x #s(literal 3 binary64))) (*.f64 (*.f64 x (+.f64 x #s(literal 3 binary64))) (*.f64 x (+.f64 x #s(literal 3 binary64)))) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (+.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (+.f64 x #s(literal 3 binary64)) (*.f64 x (*.f64 x (+.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64)))) |
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(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) (*.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))))) |
(/.f64 (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))) (*.f64 x (*.f64 x x))) (fma.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))))) |
(/.f64 (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))) (*.f64 x (*.f64 x x))) (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)) (-.f64 (*.f64 x x) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (neg.f64 x))))) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) |
(/.f64 (neg.f64 (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))) (*.f64 x (*.f64 x x)))) (neg.f64 (fma.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))) (*.f64 x (*.f64 x x)))) (neg.f64 (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)) (-.f64 (*.f64 x x) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (neg.f64 x)))))) |
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))) (neg.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)))) |
(/.f64 (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))))) (fma.f64 x (*.f64 x (*.f64 x x)) (-.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))) (*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x))))) |
(/.f64 (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) (-.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))) (*.f64 x (*.f64 x x))))) (neg.f64 (neg.f64 (fma.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))))))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)))) (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))))) (neg.f64 (fma.f64 x (*.f64 x (*.f64 x x)) (-.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))) (*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))))) (neg.f64 (-.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)))) |
(pow.f64 (/.f64 (fma.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))) (*.f64 x (*.f64 x x)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) (*.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))) #s(literal -1 binary64)) |
(*.f64 (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))))) |
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x x)))) |
Compiled 19 621 to 1 776 computations (90.9% saved)
16 alts after pruning (4 fresh and 12 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 882 | 1 | 883 |
| Fresh | 0 | 3 | 3 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 8 | 8 |
| Total | 883 | 16 | 899 |
| Status | Accuracy | Program |
|---|---|---|
| 47.1% | (fma.f64 (/.f64 x (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))) | |
| ✓ | 49.3% | (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) |
| ✓ | 45.1% | #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 1 binary64))) |
| ✓ | 44.7% | #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 x #s(approx (+ 3 x) #s(literal 3 binary64)) #s(literal 1 binary64))) |
| 16.3% | #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (fma.f64 x (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) #s(literal -3 binary64)) (*.f64 x (*.f64 x x)))) | |
| 28.5% | #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x x))) | |
| 27.0% | #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (fma.f64 x (-.f64 #s(literal -3 binary64) x) #s(literal -1 binary64)) (*.f64 x (*.f64 x x)))) x)) | |
| ✓ | 56.6% | #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x))) x)) |
| ✓ | 55.6% | #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x)) |
| ✓ | 55.9% | #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(approx (+ -3 (/ (+ -1 (/ -3 x)) x)) #s(literal -3 binary64)) x)) |
| ✓ | 45.1% | #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (+.f64 (*.f64 x (+.f64 x #s(literal 3 binary64))) #s(literal 1 binary64))) |
| ✓ | 44.6% | #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))) |
| ✓ | 55.4% | #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)))) |
| ✓ | 55.7% | #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (+ -3 (/ (+ -1 (/ -3 x)) x)) #s(literal -3 binary64)))) |
| ✓ | 11.5% | #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) #s(approx (/ (* (+ 3 (/ 1 x)) (+ -1 (/ -1 (* x x)))) x) (/.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))) (*.f64 (*.f64 x (*.f64 x x)) x)))) |
| ✓ | 45.8% | #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) #s(literal 1 binary64)) |
Compiled 429 to 168 computations (60.8% saved)
| Inputs |
|---|
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) #s(literal 1 binary64)) |
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))) |
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 x #s(approx (+ 3 x) #s(literal 3 binary64)) #s(literal 1 binary64))) |
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 1 binary64))) |
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (+.f64 (*.f64 x (+.f64 x #s(literal 3 binary64))) #s(literal 1 binary64))) |
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal -3 binary64) x)) |
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(approx (+ -3 (/ (+ -1 (/ -3 x)) x)) #s(literal -3 binary64)) x)) |
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (+ -3 (/ (+ -1 (/ -3 x)) x)) #s(literal -3 binary64)))) |
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))) |
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x x))) |
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x)) |
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)))) |
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x))) x)) |
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (fma.f64 x (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) #s(literal -3 binary64)) (*.f64 x (*.f64 x x)))) |
(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) |
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)) x)) |
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) #s(approx (/ (* (+ 3 (/ 1 x)) (+ -1 (/ -1 (* x x)))) x) (/.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))) (*.f64 (*.f64 x (*.f64 x x)) x)))) |
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)))) |
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (fma.f64 x (-.f64 #s(literal -3 binary64) x) #s(literal -1 binary64)) (*.f64 x (*.f64 x x)))) x)) |
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (*.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x)))) x)) |
(fma.f64 (/.f64 x (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))) |
(fma.f64 (/.f64 x (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (neg.f64 x) #s(literal 1 binary64)))) |
| Outputs |
|---|
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (*.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x)))) x)) |
(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) |
2 calls:
| 7.0ms | x |
| 5.0ms | (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 3 | x |
| 100.0% | 2 | (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) |
Compiled 16 to 8 computations (50% saved)
| Inputs |
|---|
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) #s(literal 1 binary64)) |
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))) |
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 x #s(approx (+ 3 x) #s(literal 3 binary64)) #s(literal 1 binary64))) |
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 1 binary64))) |
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (+.f64 (*.f64 x (+.f64 x #s(literal 3 binary64))) #s(literal 1 binary64))) |
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal -3 binary64) x)) |
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(approx (+ -3 (/ (+ -1 (/ -3 x)) x)) #s(literal -3 binary64)) x)) |
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (+ -3 (/ (+ -1 (/ -3 x)) x)) #s(literal -3 binary64)))) |
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))) |
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x x))) |
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x)) |
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)))) |
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x))) x)) |
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (fma.f64 x (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) #s(literal -3 binary64)) (*.f64 x (*.f64 x x)))) |
(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) |
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)) x)) |
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) #s(approx (/ (* (+ 3 (/ 1 x)) (+ -1 (/ -1 (* x x)))) x) (/.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))) (*.f64 (*.f64 x (*.f64 x x)) x)))) |
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)))) |
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (fma.f64 x (-.f64 #s(literal -3 binary64) x) #s(literal -1 binary64)) (*.f64 x (*.f64 x x)))) x)) |
| Outputs |
|---|
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x))) x)) |
(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) |
1 calls:
| 8.0ms | (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 2 | (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) |
Compiled 14 to 7 computations (50% saved)
| Inputs |
|---|
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) #s(literal 1 binary64)) |
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))) |
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 x #s(approx (+ 3 x) #s(literal 3 binary64)) #s(literal 1 binary64))) |
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 1 binary64))) |
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (+.f64 (*.f64 x (+.f64 x #s(literal 3 binary64))) #s(literal 1 binary64))) |
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal -3 binary64) x)) |
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(approx (+ -3 (/ (+ -1 (/ -3 x)) x)) #s(literal -3 binary64)) x)) |
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (+ -3 (/ (+ -1 (/ -3 x)) x)) #s(literal -3 binary64)))) |
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))) |
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x x))) |
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x)) |
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)))) |
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x))) x)) |
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (fma.f64 x (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) #s(literal -3 binary64)) (*.f64 x (*.f64 x x)))) |
| Outputs |
|---|
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x))) x)) |
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))) |
1 calls:
| 4.0ms | (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.5% | 2 | (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) |
Compiled 14 to 7 computations (50% saved)
| Inputs |
|---|
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) #s(literal 1 binary64)) |
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))) |
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 x #s(approx (+ 3 x) #s(literal 3 binary64)) #s(literal 1 binary64))) |
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 1 binary64))) |
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (+.f64 (*.f64 x (+.f64 x #s(literal 3 binary64))) #s(literal 1 binary64))) |
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal -3 binary64) x)) |
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(approx (+ -3 (/ (+ -1 (/ -3 x)) x)) #s(literal -3 binary64)) x)) |
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (+ -3 (/ (+ -1 (/ -3 x)) x)) #s(literal -3 binary64)))) |
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))) |
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x x))) |
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x)) |
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)))) |
| Outputs |
|---|
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x)) |
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))) |
1 calls:
| 3.0ms | (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.2% | 2 | (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) |
Compiled 14 to 7 computations (50% saved)
| Inputs |
|---|
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) #s(literal 1 binary64)) |
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))) |
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 x #s(approx (+ 3 x) #s(literal 3 binary64)) #s(literal 1 binary64))) |
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 1 binary64))) |
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (+.f64 (*.f64 x (+.f64 x #s(literal 3 binary64))) #s(literal 1 binary64))) |
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal -3 binary64) x)) |
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(approx (+ -3 (/ (+ -1 (/ -3 x)) x)) #s(literal -3 binary64)) x)) |
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (+ -3 (/ (+ -1 (/ -3 x)) x)) #s(literal -3 binary64)))) |
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))) |
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x x))) |
| Outputs |
|---|
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal -3 binary64) x)) |
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))) |
1 calls:
| 3.0ms | (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.4% | 2 | (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) |
Compiled 14 to 7 computations (50% saved)
| Inputs |
|---|
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) #s(literal 1 binary64)) |
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))) |
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 x #s(approx (+ 3 x) #s(literal 3 binary64)) #s(literal 1 binary64))) |
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 1 binary64))) |
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (+.f64 (*.f64 x (+.f64 x #s(literal 3 binary64))) #s(literal 1 binary64))) |
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal -3 binary64) x)) |
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(approx (+ -3 (/ (+ -1 (/ -3 x)) x)) #s(literal -3 binary64)) x)) |
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (+ -3 (/ (+ -1 (/ -3 x)) x)) #s(literal -3 binary64)))) |
| Outputs |
|---|
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal -3 binary64) x)) |
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 1 binary64))) |
2 calls:
| 3.0ms | x |
| 2.0ms | (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.4% | 3 | x |
| 98.4% | 2 | (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) |
Compiled 16 to 8 computations (50% saved)
Total -0.9b remaining (-2.5%)
Threshold costs -0.9b (-2.5%)
| Inputs |
|---|
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) #s(literal 1 binary64)) |
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))) |
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 x #s(approx (+ 3 x) #s(literal 3 binary64)) #s(literal 1 binary64))) |
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 1 binary64))) |
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (+.f64 (*.f64 x (+.f64 x #s(literal 3 binary64))) #s(literal 1 binary64))) |
| Outputs |
|---|
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) #s(literal 1 binary64)) |
2 calls:
| 2.0ms | x |
| 2.0ms | (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 45.8% | 1 | x |
| 45.8% | 1 | (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) |
Compiled 16 to 8 computations (50% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 8.062270039632669e-5 | 0.3766525641068149 |
Compiled 17 to 11 computations (35.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 8.062270039632669e-5 | 0.3766525641068149 |
Compiled 17 to 11 computations (35.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.3766525641068149 | 0.7549698859466474 |
Compiled 17 to 11 computations (35.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.3766525641068149 | 0.7549698859466474 |
Compiled 17 to 11 computations (35.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.3766525641068149 | 0.7549698859466474 |
Compiled 17 to 11 computations (35.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.3766525641068149 | 0.7549698859466474 |
Compiled 17 to 11 computations (35.3% saved)
| 1× | egg-herbie |
| 30× | +-commutative_binary64 |
| 18× | sub-neg_binary64 |
| 14× | *-commutative_binary64 |
| 12× | neg-sub0_binary64 |
| 12× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 52 | 360 |
| 1 | 69 | 360 |
| 2 | 82 | 360 |
| 3 | 102 | 360 |
| 4 | 113 | 360 |
| 5 | 116 | 360 |
| 6 | 117 | 360 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 7378697629483821/73786976294838206464 binary64)) #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (*.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x)))) x)) (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))) |
(if (<=.f64 (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 7378697629483821/73786976294838206464 binary64)) #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x))) x)) (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))) |
(if (<=.f64 (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1/2 binary64)) #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x))) x)) #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))))) |
(if (<=.f64 (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1/2 binary64)) #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x)) #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))))) |
(if (<=.f64 (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1/2 binary64)) #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal -3 binary64) x)) #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))))) |
(if (<=.f64 (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1/2 binary64)) #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal -3 binary64) x)) #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 1 binary64)))) |
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) #s(literal 1 binary64)) |
| Outputs |
|---|
(if (<=.f64 (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 7378697629483821/73786976294838206464 binary64)) #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (*.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x)))) x)) (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))) |
(if (<=.f64 (+.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (-.f64 #s(literal -1 binary64) x) (+.f64 x #s(literal -1 binary64)))) #s(literal 7378697629483821/73786976294838206464 binary64)) #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (*.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x)))) x)) (+.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (-.f64 #s(literal -1 binary64) x) (+.f64 x #s(literal -1 binary64))))) |
(if (<=.f64 (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 7378697629483821/73786976294838206464 binary64)) #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x))) x)) (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))) |
(if (<=.f64 (+.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (-.f64 #s(literal -1 binary64) x) (+.f64 x #s(literal -1 binary64)))) #s(literal 7378697629483821/73786976294838206464 binary64)) #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x))) x)) (+.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (-.f64 #s(literal -1 binary64) x) (+.f64 x #s(literal -1 binary64))))) |
(if (<=.f64 (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1/2 binary64)) #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x))) x)) #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))))) |
(if (<=.f64 (+.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (-.f64 #s(literal -1 binary64) x) (+.f64 x #s(literal -1 binary64)))) #s(literal 1/2 binary64)) #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x))) x)) #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))))) |
(if (<=.f64 (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1/2 binary64)) #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x)) #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))))) |
(if (<=.f64 (+.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (-.f64 #s(literal -1 binary64) x) (+.f64 x #s(literal -1 binary64)))) #s(literal 1/2 binary64)) #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x)) #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))))) |
(if (<=.f64 (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1/2 binary64)) #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal -3 binary64) x)) #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))))) |
(if (<=.f64 (+.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (-.f64 #s(literal -1 binary64) x) (+.f64 x #s(literal -1 binary64)))) #s(literal 1/2 binary64)) #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal -3 binary64) x)) #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))))) |
(if (<=.f64 (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1/2 binary64)) #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal -3 binary64) x)) #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 1 binary64)))) |
(if (<=.f64 (+.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (-.f64 #s(literal -1 binary64) x) (+.f64 x #s(literal -1 binary64)))) #s(literal 1/2 binary64)) #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal -3 binary64) x)) #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 x (+.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) |
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) #s(literal 1 binary64)) |
| 14 990× | lower-fma.f64 |
| 14 990× | lower-fma.f32 |
| 10 526× | lower-fma.f64 |
| 10 526× | lower-fma.f32 |
| 3 246× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 98 | 1521 |
| 1 | 283 | 1459 |
| 2 | 819 | 1348 |
| 3 | 3295 | 1340 |
| 4 | 7246 | 1340 |
| 0 | 8080 | 1260 |
| 0 | 99 | 362 |
| 1 | 272 | 352 |
| 2 | 618 | 340 |
| 3 | 1569 | 322 |
| 4 | 4393 | 320 |
| 0 | 8115 | 309 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 276 to 81 computations (70.7% saved)
Compiled 464 to 96 computations (79.3% saved)
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