
Time bar (total: 8.3s)
| 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)
| 319.0ms | 1 608× | 2 | valid |
| 264.0ms | 2 405× | 1 | valid |
| 217.0ms | 4 243× | 0 | valid |
ival-div: 251.0ms (42% of total)ival-sub: 138.0ms (23.1% of total)adjust: 117.0ms (19.6% of total)ival-add: 78.0ms (13% of total)ival-true: 6.0ms (1% of total)exact: 5.0ms (0.8% of total)ival-assert: 3.0ms (0.5% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 115 | 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 | 115 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 115 | 0 |
| - | 0 | 141 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 115 | 0 | 0 |
| - | 0 | 0 | 141 |
| number | freq |
|---|---|
| 0 | 141 |
| 1 | 115 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 21.0ms | 156× | 1 | valid |
| 16.0ms | 294× | 0 | valid |
| 11.0ms | 62× | 2 | valid |
Compiled 84 to 25 computations (70.2% saved)
ival-div: 14.0ms (44.3% of total)ival-sub: 7.0ms (22.2% of total)adjust: 6.0ms (19% of total)ival-add: 4.0ms (12.7% 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 |
|---|---|---|
| ▶ | 59.2% | (-.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)
| 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 | 0.015625 | (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) | |
| accuracy | 26.119393836986948 | (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) |
| 12.0ms | 78× | 1 | valid |
| 8.0ms | 147× | 0 | valid |
| 6.0ms | 31× | 2 | valid |
Compiled 35 to 9 computations (74.3% saved)
ival-div: 5.0ms (28.6% of total)ival-sub: 5.0ms (28.6% of total)adjust: 3.0ms (17.2% of total)ival-add: 2.0ms (11.5% of total)ival-true: 1.0ms (5.7% of total)ival-assert: 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)
13 alts after pruning (12 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 488 | 12 | 500 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 488 | 13 | 501 |
| Status | Accuracy | Program |
|---|---|---|
| 58.6% | (fma.f64 (/.f64 x (fma.f64 x 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)))) | |
| ▶ | 58.6% | (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)))) |
| 58.1% | (/.f64 (fma.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 x #s(literal -1 binary64))) | |
| 57.9% | (/.f64 (-.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 x (+.f64 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 x #s(literal 1 binary64))) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))))) (*.f64 (+.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 x #s(literal -1 binary64)))))) | |
| ✓ | 59.2% | (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) |
| ▶ | 55.4% | #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 1 binary64))) |
| 54.9% | #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))) | |
| ▶ | 46.0% | #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)) |
| 44.8% | #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x)) | |
| 45.4% | #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)) | |
| 45.6% | #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal -3 binary64) x)) | |
| ▶ | 55.0% | #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)))) |
| ▶ | 55.3% | #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) #s(literal 1 binary64)) |
Compiled 434 to 193 computations (55.5% saved)
| 1× | egg-herbie |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| 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)) | |
| 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 x #s(literal 1 binary64)) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) | |
| cost-diff | 128 | (+.f64 (neg.f64 x) #s(literal 1 binary64)) | |
| cost-diff | 192 | (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)))) |
| 4 520× | lower-fma.f32 |
| 4 512× | lower-fma.f64 |
| 1 440× | lower-*.f32 |
| 1 438× | lower-*.f64 |
| 1 316× | div-sub |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 193 |
| 0 | 51 | 193 |
| 1 | 82 | 189 |
| 2 | 134 | 189 |
| 3 | 253 | 189 |
| 4 | 444 | 189 |
| 5 | 570 | 189 |
| 6 | 836 | 189 |
| 7 | 1268 | 189 |
| 8 | 1698 | 189 |
| 9 | 2386 | 189 |
| 10 | 3060 | 189 |
| 11 | 3830 | 189 |
| 12 | 4540 | 189 |
| 13 | 5016 | 189 |
| 14 | 5069 | 189 |
| 15 | 5085 | 189 |
| 16 | 5142 | 189 |
| 17 | 5541 | 189 |
| 18 | 5659 | 189 |
| 19 | 5659 | 189 |
| 20 | 5659 | 189 |
| 21 | 5659 | 189 |
| 0 | 5659 | 189 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(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)))) |
(/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) |
#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))) |
(+.f64 (neg.f64 x) #s(literal 1 binary64)) |
(neg.f64 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 #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 |
| Outputs |
|---|
(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)))) |
(+.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) |
(/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) |
#s(literal 1 binary64) |
(+.f64 x #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) x) |
x |
(/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (neg.f64 x) #s(literal 1 binary64))) |
(/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) |
(+.f64 (neg.f64 x) #s(literal 1 binary64)) |
(-.f64 #s(literal 1 binary64) x) |
(neg.f64 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 #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 |
Found 16 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 | 0.06640625 | (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)) x) | |
| accuracy | 0.0859375 | (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x) | |
| accuracy | 34.526581693441244 | #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)) | |
| accuracy | 0 | (fma.f64 x x #s(literal 1 binary64)) | |
| accuracy | 0 | (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) | |
| accuracy | 0.078125 | (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))) | |
| accuracy | 28.76867485180877 | #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 | 28.55580012091164 | #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 1 binary64))) | |
| accuracy | 28.610696809571326 | #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) #s(literal 1 binary64)) | |
| accuracy | 0 | (neg.f64 x) | |
| accuracy | 0.0078125 | (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) | |
| accuracy | 0.015625 | (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (neg.f64 x) #s(literal 1 binary64))) | |
| accuracy | 26.45904085997539 | (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)))) |
| 39.0ms | 147× | 0 | valid |
| 35.0ms | 33× | 2 | valid |
| 32.0ms | 76× | 1 | valid |
Compiled 170 to 31 computations (81.8% saved)
ival-div: 24.0ms (27.9% of total)ival-sub: 20.0ms (23.2% of total)ival-add: 17.0ms (19.7% of total)ival-mult: 13.0ms (15.1% of total)adjust: 10.0ms (11.6% of total)ival-neg: 1.0ms (1.2% 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 (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)))) (patch (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)))) #<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 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (patch (/.f64 #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>) () ()) |
#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 #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 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (neg.f64 x) #s(literal 1 binary64))) (patch (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (neg.f64 x) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ()) |
| Outputs |
|---|
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#s(alt (* -1 (+ 1 (* 2 (/ 1 x)))) (taylor -inf x) (#s(alt (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (neg.f64 x) #s(literal 1 binary64))) (patch (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (neg.f64 x) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1) (taylor -inf x) (#s(alt (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (neg.f64 x) #s(literal 1 binary64))) (patch (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (neg.f64 x) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 1) (taylor -inf x) (#s(alt (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (neg.f64 x) #s(literal 1 binary64))) (patch (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (neg.f64 x) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor 0 x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor 0 x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor 0 x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor 0 x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
54 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | -inf | (* (+ (* 3 x) 1) (+ (* x x) 1)) |
| 0.0ms | x | @ | -inf | (/ (+ -3 (/ (+ -1 (/ -3 x)) x)) x) |
| 0.0ms | x | @ | 0 | (/ (+ -3 (/ (+ -1 (/ -3 x)) x)) x) |
| 0.0ms | x | @ | inf | (/ (+ -3 (/ (+ -1 (/ -3 x)) x)) x) |
| 0.0ms | x | @ | inf | (+ (* x (+ 3 x)) 1) |
| 1× | egg-herbie |
| 16 740× | lower-fma.f64 |
| 16 740× | lower-fma.f32 |
| 4 024× | lower-*.f64 |
| 4 024× | lower-*.f32 |
| 2 472× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 136 | 1448 |
| 1 | 412 | 1371 |
| 2 | 1098 | 1316 |
| 3 | 3910 | 1286 |
| 0 | 8962 | 1219 |
| 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)) |
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 (* -1 x)) |
(+ 1 (* x (- x 1))) |
(+ 1 (* x (- (* x (+ 1 (* -1 x))) 1))) |
(/ 1 x) |
(/ (- 1 (/ 1 x)) x) |
(/ (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) x) |
(/ (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))) x) |
(/ 1 x) |
(* -1 (/ (- (/ 1 x) 1) x)) |
(* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) 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 |
(+ 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)) |
(/ -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 (* 2 x)) |
(+ 1 (* x (+ 2 (* 2 x)))) |
(+ 1 (* x (+ 2 (* x (+ 2 (* 2 x)))))) |
-1 |
(* -1 (+ 1 (* 2 (/ 1 x)))) |
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1) |
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 1 (* 2 (/ 1 x)))) |
-1 |
(* -1 (+ 1 (* 2 (/ 1 x)))) |
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1) |
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 1) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
| 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 (fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x))) (fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 1 binary64)) #s(literal -3 binary64)) 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 (fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x))) (fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 1 binary64)) #s(literal -3 binary64)) x) |
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 (* -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 (* -1 x))) 1))) |
(*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal 1 binary64))) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ (- 1 (/ 1 x)) x) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 x #s(literal -1 binary64))) |
(/ (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) x) |
(/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) x) |
(/ (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))) x) |
(/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x))) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) #s(literal 1 binary64)) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(* -1 (/ (- (/ 1 x) 1) x)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 x #s(literal -1 binary64))) |
(* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) |
(/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) x) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) x)) |
(/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x))) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) #s(literal 1 binary64)) 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) |
(+ 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 (fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x))) (fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 1 binary64)) #s(literal -3 binary64)) 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 (fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x))) (fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 1 binary64)) #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 (fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x))) (fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 1 binary64)) #s(literal -3 binary64)) 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 (fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x))) (fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 1 binary64)) #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))) |
(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 (fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x))) (fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 1 binary64)) #s(literal -3 binary64)) 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 (fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x))) (fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 1 binary64)) #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 (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 (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 (fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x))) (fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 1 binary64)) #s(literal -3 binary64)) 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 (fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x))) (fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 1 binary64)) #s(literal -3 binary64)) 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 (* 2 x)) |
(fma.f64 x #s(literal 2 binary64) #s(literal 1 binary64)) |
(+ 1 (* x (+ 2 (* 2 x)))) |
(fma.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(+ 1 (* x (+ 2 (* x (+ 2 (* 2 x)))))) |
(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 (+ 1 (* 2 (/ 1 x)))) |
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x)) |
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1) |
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal -2 binary64) x) #s(literal -2 binary64)) x)) |
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 1 (* 2 (/ 1 x)))) |
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -2 binary64) x) #s(literal -2 binary64)) x) #s(literal -2 binary64)) x)) |
-1 |
#s(literal -1 binary64) |
(* -1 (+ 1 (* 2 (/ 1 x)))) |
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x)) |
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1) |
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal -2 binary64) x) #s(literal -2 binary64)) x)) |
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 1) |
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -2 binary64) x) #s(literal -2 binary64)) x) #s(literal -2 binary64)) x)) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
| 7 018× | lower-fma.f32 |
| 7 010× | lower-fma.f64 |
| 3 484× | lower-/.f32 |
| 3 474× | lower-/.f64 |
| 2 836× | lower-*.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 173 |
| 0 | 51 | 173 |
| 1 | 247 | 169 |
| 2 | 2417 | 169 |
| 0 | 10348 | 169 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(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)))) |
(+.f64 (neg.f64 x) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) |
(+.f64 x #s(literal 1 binary64)) |
#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 #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) |
(/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (neg.f64 x) #s(literal 1 binary64))) |
(neg.f64 x) |
| Outputs |
|---|
(+.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (/.f64 x (+.f64 #s(literal 1 binary64) x))) |
(+.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) |
(-.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (/.f64 x (+.f64 #s(literal 1 binary64) x))) |
(-.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) |
(-.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x) (/.f64 (+.f64 #s(literal 1 binary64) x) x))) |
(-.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x) (+.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x) (+.f64 #s(literal 1 binary64) x)))) |
(-.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal -1 binary64)))) (fma.f64 x (/.f64 x (fma.f64 x x #s(literal -1 binary64))) (/.f64 (fma.f64 x (+.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64))))) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (fma.f64 x (/.f64 x (fma.f64 x x #s(literal -1 binary64))) (/.f64 (fma.f64 x (+.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64)))))) |
(-.f64 (/.f64 (/.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (fma.f64 x (+.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64)))) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (/.f64 (fma.f64 x (+.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64))))) |
(-.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (/.f64 (fma.f64 x (+.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64)))) (/.f64 (/.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (fma.f64 x (+.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64))))) |
(-.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (fma.f64 x (/.f64 x (fma.f64 x x #s(literal -1 binary64))) (/.f64 x (+.f64 #s(literal 1 binary64) x))))) (/.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal -1 binary64)))) (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (fma.f64 x (/.f64 x (fma.f64 x x #s(literal -1 binary64))) (/.f64 x (+.f64 #s(literal 1 binary64) x)))))) |
(fma.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (/.f64 x (+.f64 #s(literal 1 binary64) x))) |
(fma.f64 #s(literal 1 binary64) (/.f64 x (+.f64 #s(literal 1 binary64) x)) (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) |
(fma.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) |
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(+.f64 #s(literal 1 binary64) x) |
(+.f64 #s(literal 1 binary64) (neg.f64 x)) |
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(+.f64 x #s(literal 1 binary64)) |
(+.f64 x #s(literal -1 binary64)) |
(+.f64 (neg.f64 x) #s(literal 1 binary64)) |
(+.f64 (neg.f64 x) #s(literal -1 binary64)) |
(+.f64 #s(literal -1 binary64) x) |
(+.f64 #s(literal -1 binary64) (neg.f64 x)) |
(+.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 x))) |
(+.f64 (neg.f64 (neg.f64 x)) #s(literal -1 binary64)) |
(exp.f64 (neg.f64 (*.f64 (log1p.f64 x) #s(literal -1 binary64)))) |
(-.f64 #s(literal 1 binary64) x) |
(-.f64 #s(literal 1 binary64) (neg.f64 x)) |
(-.f64 #s(literal 1 binary64) (/.f64 x #s(literal 1 binary64))) |
(-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) #s(literal 1 binary64))) |
(-.f64 x #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x))) |
(-.f64 (neg.f64 x) #s(literal 1 binary64)) |
(-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) x)) |
(-.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) |
(-.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x x (+.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (+.f64 #s(literal 1 binary64) x)))) |
(-.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x x (+.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x))))) |
(-.f64 (/.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) |
(-.f64 (/.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) |
(-.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x x (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))) |
(-.f64 (/.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) |
(-.f64 (/.f64 (*.f64 x x) (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) (/.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1 binary64) (fma.f64 x x x)))) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64)))) |
(expm1.f64 (*.f64 (log.f64 x) #s(literal 1 binary64))) |
(fma.f64 #s(literal 1 binary64) x #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) x #s(literal -1 binary64)) |
(fma.f64 #s(literal 1 binary64) (neg.f64 x) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (neg.f64 x) #s(literal -1 binary64)) |
(fma.f64 x #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 x #s(literal 1 binary64) #s(literal -1 binary64)) |
(fma.f64 x #s(literal -1 binary64) #s(literal 1 binary64)) |
(fma.f64 x #s(literal -1 binary64) #s(literal -1 binary64)) |
(fma.f64 (neg.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 (neg.f64 x) #s(literal 1 binary64) #s(literal -1 binary64)) |
(fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)) |
(fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) |
(neg.f64 (+.f64 #s(literal 1 binary64) x)) |
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(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) |
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(/.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) |
(/.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) |
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(/.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (fma.f64 x x (+.f64 #s(literal 1 binary64) x))) |
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(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x)) |
(/.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64)) (fma.f64 x x (+.f64 #s(literal 1 binary64) x))) |
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(/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x)) |
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(/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64))) |
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(/.f64 (neg.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (neg.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x)))) |
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(*.f64 (/.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) x))) |
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(*.f64 (/.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))) |
(*.f64 (/.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) (/.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) x))) |
(*.f64 (/.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)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) (/.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) (fma.f64 x x (+.f64 #s(literal 1 binary64) x)))) |
(*.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) (/.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) x))) |
(*.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) (/.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) (fma.f64 x x (+.f64 #s(literal 1 binary64) x)))) |
(*.f64 (/.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (/.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (+.f64 #s(literal 1 binary64) x))))) |
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (fma.f64 x x (+.f64 #s(literal 1 binary64) x))))) |
(*.f64 (/.f64 #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 #s(literal 1 binary64) x) (fma.f64 x x (+.f64 #s(literal 1 binary64) x)))) |
(*.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (+.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (+.f64 #s(literal 1 binary64) x))))) |
(*.f64 (/.f64 (fma.f64 x (*.f64 x 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 #s(literal 1 binary64) (fma.f64 x x (+.f64 #s(literal 1 binary64) x))) (fma.f64 x x (+.f64 #s(literal 1 binary64) x)))) |
(*.f64 (/.f64 (fma.f64 x 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 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (fma.f64 x x (+.f64 #s(literal 1 binary64) x)))) |
(*.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (+.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1 binary64) x))) |
(*.f64 (/.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) x))) |
(*.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (+.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (+.f64 #s(literal 1 binary64) x))))) |
(*.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (+.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))) |
(*.f64 (/.f64 (fma.f64 x (*.f64 x 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 #s(literal 1 binary64) (fma.f64 x x (+.f64 #s(literal 1 binary64) x))) (fma.f64 x x (+.f64 #s(literal 1 binary64) x)))) |
(*.f64 (/.f64 (fma.f64 x (*.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) (fma.f64 x x (+.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1 binary64) x))) |
(*.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (*.f64 x x) #s(literal -1 binary64)))) (/.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x (+.f64 #s(literal 1 binary64) x)))) |
(*.f64 (/.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (/.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (+.f64 #s(literal 1 binary64) x))))) |
(*.f64 (/.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))) |
(*.f64 (/.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)) (fma.f64 x (*.f64 x x) #s(literal -1 binary64)))) (/.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) (fma.f64 x x (+.f64 #s(literal 1 binary64) x)))) |
(*.f64 (/.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) (/.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) x))) |
(*.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))) |
(*.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (+.f64 #s(literal 1 binary64) x))) (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))) |
(*.f64 (/.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x)) (/.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))) |
(*.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) |
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (fma.f64 x x (+.f64 #s(literal 1 binary64) x)))) |
(*.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) (/.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) (fma.f64 x x (+.f64 #s(literal 1 binary64) x)))) |
(*.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) (/.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) x))) |
(*.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (fma.f64 x x (+.f64 #s(literal 1 binary64) x))))) |
(*.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))) |
(*.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (/.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (+.f64 #s(literal 1 binary64) x)))) |
(*.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (fma.f64 x x (+.f64 #s(literal 1 binary64) x))))) |
(*.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) (/.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x (+.f64 #s(literal 1 binary64) x)))) |
(+.f64 #s(literal 0 binary64) (neg.f64 x)) |
(-.f64 #s(literal 0 binary64) x) |
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x)))) (/.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) x)) (/.f64 (*.f64 x x) (+.f64 #s(literal 0 binary64) x))) |
(neg.f64 x) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x)) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x)))) (neg.f64 (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x))) (neg.f64 (+.f64 #s(literal 0 binary64) x))) |
(/.f64 (+.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 x x) (*.f64 #s(literal 0 binary64) (neg.f64 x))))) |
(*.f64 #s(literal 1 binary64) (neg.f64 x)) |
(*.f64 x #s(literal -1 binary64)) |
(*.f64 (neg.f64 x) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) x) |
Compiled 30 573 to 2 896 computations (90.5% saved)
16 alts after pruning (12 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 339 | 8 | 1 347 |
| Fresh | 3 | 4 | 7 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 1 | 1 |
| Total | 1 344 | 16 | 1 360 |
| Status | Accuracy | Program |
|---|---|---|
| 58.6% | (fma.f64 (/.f64 x (fma.f64 x 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)))) | |
| ▶ | 58.6% | (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) x (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))) |
| 58.1% | (/.f64 (fma.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 x #s(literal -1 binary64))) | |
| 57.9% | (/.f64 (-.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 x (+.f64 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 x #s(literal 1 binary64))) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))))) (*.f64 (+.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 x #s(literal -1 binary64)))))) | |
| ✓ | 59.2% | (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) |
| ✓ | 55.4% | #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 1 binary64))) |
| ▶ | 54.9% | #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 x #s(approx (+ 3 x) #s(literal 3 binary64)) #s(literal 1 binary64))) |
| ▶ | 55.4% | #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 x #s(literal 3 binary64) (fma.f64 x x #s(literal 1 binary64)))) |
| 27.0% | #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x))) (fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 1 binary64)) #s(literal -3 binary64)) x)) | |
| ▶ | 20.1% | #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)))) |
| 27.6% | #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x x))) | |
| ▶ | 44.8% | #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x)) |
| 46.0% | #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (+.f64 #s(literal -3 binary64) #s(approx (/ (+ -1 (/ -3 x)) x) (/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x)))) x)) | |
| 45.6% | #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(approx (+ -3 (/ (+ -1 (/ -3 x)) x)) #s(literal -3 binary64)) x)) | |
| ✓ | 55.0% | #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)))) |
| ✓ | 55.3% | #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) #s(literal 1 binary64)) |
Compiled 488 to 216 computations (55.7% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) | |
| cost-diff | 0 | (fma.f64 x (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) #s(literal -3 binary64)) | |
| cost-diff | 0 | (/.f64 (fma.f64 x (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) #s(literal -3 binary64)) (*.f64 x (*.f64 x x))) | |
| cost-diff | 0 | #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)))) | |
| 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 | (fma.f64 x x #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 x #s(literal 3 binary64) (fma.f64 x x #s(literal 1 binary64)))) | |
| cost-diff | 192 | (fma.f64 x #s(literal 3 binary64) (fma.f64 x x #s(literal 1 binary64))) | |
| 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 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) | |
| cost-diff | 0 | (+.f64 x #s(literal 1 binary64)) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) | |
| cost-diff | 192 | (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) x (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))) |
| 9 620× | lower-fma.f32 |
| 9 608× | lower-fma.f64 |
| 3 726× | lower-*.f32 |
| 3 722× | lower-*.f64 |
| 1 624× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 208 |
| 0 | 54 | 202 |
| 1 | 90 | 201 |
| 2 | 133 | 201 |
| 3 | 226 | 201 |
| 4 | 352 | 201 |
| 5 | 689 | 201 |
| 6 | 1646 | 201 |
| 7 | 3443 | 201 |
| 8 | 5788 | 201 |
| 9 | 7695 | 201 |
| 0 | 8011 | 199 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) x (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))) |
(/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) |
#s(literal 1 binary64) |
(+.f64 x #s(literal 1 binary64)) |
x |
(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) |
(-.f64 #s(literal 1 binary64) 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))) (fma.f64 x #s(literal 3 binary64) (fma.f64 x x #s(literal 1 binary64)))) |
(fma.f64 x #s(literal 3 binary64) (fma.f64 x x #s(literal 1 binary64))) |
x |
#s(literal 3 binary64) |
(fma.f64 x x #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#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 (fma.f64 x (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) #s(literal -3 binary64)) (*.f64 x (*.f64 x 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))) |
(fma.f64 x (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) #s(literal -3 binary64)) |
x |
(fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) |
#s(literal -3 binary64) |
#s(literal -1 binary64) |
(*.f64 x (*.f64 x x)) |
(*.f64 x x) |
| Outputs |
|---|
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) x (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))) |
(+.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (/.f64 x (+.f64 #s(literal 1 binary64) x))) |
(/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) |
#s(literal 1 binary64) |
(+.f64 x #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) x) |
x |
(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) |
(/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) |
(-.f64 #s(literal 1 binary64) 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))) (fma.f64 x #s(literal 3 binary64) (fma.f64 x 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 #s(literal 3 binary64) (fma.f64 x x #s(literal 1 binary64))) |
(fma.f64 x (+.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) |
x |
#s(literal 3 binary64) |
(fma.f64 x x #s(literal 1 binary64)) |
#s(literal 1 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 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 (fma.f64 x (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) #s(literal -3 binary64)) (*.f64 x (*.f64 x 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))) |
(fma.f64 x (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) #s(literal -3 binary64)) |
x |
(fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) |
#s(literal -3 binary64) |
#s(literal -1 binary64) |
(*.f64 x (*.f64 x x)) |
(*.f64 x x) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.06640625 | (fma.f64 x (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) #s(literal -3 binary64)) | |
| accuracy | 0.1171875 | (*.f64 x (*.f64 x x)) | |
| accuracy | 16.485565601332056 | (/.f64 (fma.f64 x (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) #s(literal -3 binary64)) (*.f64 x (*.f64 x x))) | |
| accuracy | 34.526581693441244 | #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)))) | |
| accuracy | 0 | (/.f64 #s(literal -1 binary64) x) | |
| accuracy | 0.00390625 | (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) | |
| accuracy | 0.08984375 | (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x) | |
| accuracy | 35.35067730999515 | #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x)) | |
| accuracy | 0 | (fma.f64 x x #s(literal 1 binary64)) | |
| accuracy | 0.01171875 | (fma.f64 x #s(literal 3 binary64) (fma.f64 x x #s(literal 1 binary64))) | |
| accuracy | 28.55580012091164 | #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 x #s(literal 3 binary64) (fma.f64 x x #s(literal 1 binary64)))) | |
| accuracy | 0 | (fma.f64 x #s(approx (+ 3 x) #s(literal 3 binary64)) #s(literal 1 binary64)) | |
| accuracy | 28.55580012091164 | #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 | 28.58408409758513 | #s(approx (+ 3 x) #s(literal 3 binary64)) | |
| accuracy | 0 | (+.f64 x #s(literal 1 binary64)) | |
| accuracy | 0.0078125 | (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) | |
| accuracy | 0.015625 | (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) | |
| accuracy | 26.45904085997539 | (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) x (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))) |
| 42.0ms | 33× | 2 | valid |
| 32.0ms | 76× | 1 | valid |
| 29.0ms | 147× | 0 | valid |
Compiled 177 to 33 computations (81.4% saved)
adjust: 31.0ms (38.4% of total)ival-div: 16.0ms (19.8% of total)ival-add: 14.0ms (17.4% of total)ival-mult: 13.0ms (16.1% of total)ival-sub: 5.0ms (6.2% 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 (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) x (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))) (patch (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) x (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (patch (/.f64 #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>) () ()) |
#s(alt (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) (patch (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) 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 (fma.f64 x #s(literal 3 binary64) (fma.f64 x x #s(literal 1 binary64))) (patch (fma.f64 x #s(literal 3 binary64) (fma.f64 x x #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 x #s(literal 3 binary64) (fma.f64 x x #s(literal 1 binary64)))) (patch #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 x #s(literal 3 binary64) (fma.f64 x 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 (/.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 #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)))) (patch #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)))) #<representation binary64>) () ()) |
#s(alt (/.f64 (fma.f64 x (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) #s(literal -3 binary64)) (*.f64 x (*.f64 x x))) (patch (/.f64 (fma.f64 x (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) #s(literal -3 binary64)) (*.f64 x (*.f64 x x))) #<representation binary64>) () ()) |
#s(alt (fma.f64 x (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) #s(literal -3 binary64)) (patch (fma.f64 x (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) #s(literal -3 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (patch (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 x (*.f64 x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt 1 (taylor 0 x) (#s(alt (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) x (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))) (patch (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) x (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* 3 x)) (taylor 0 x) (#s(alt (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) x (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))) (patch (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) x (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* x (+ 3 x))) (taylor 0 x) (#s(alt (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) x (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))) (patch (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) x (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* x (+ 3 (* x (+ 1 (* 3 x)))))) (taylor 0 x) (#s(alt (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) x (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))) (patch (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) x (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (/ -3 x) (taylor inf x) (#s(alt (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) x (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))) (patch (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) x (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ 3 (/ 1 x)) x)) (taylor inf x) (#s(alt (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) x (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))) (patch (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) x (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x) (taylor inf x) (#s(alt (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) x (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))) (patch (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) x (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* -1 (/ (+ 3 (/ 1 x)) (pow x 2))) (+ 3 (/ 1 x))) x) (taylor inf x) (#s(alt (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) x (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))) (patch (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) x (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (/ -3 x) (taylor -inf x) (#s(alt (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) x (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))) (patch (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) x (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ 3 (/ 1 x)) x)) (taylor -inf x) (#s(alt (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) x (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))) (patch (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) x (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x)) (taylor -inf x) (#s(alt (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) x (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))) (patch (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) x (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ 3 (* -1 (/ (- (* -1 (/ (+ 3 (/ 1 x)) x)) 1) x))) x)) (taylor -inf x) (#s(alt (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) x (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))) (patch (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) x (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (patch (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 x)) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (patch (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* x (- x 1))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (patch (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* x (- (* x (+ 1 (* -1 x))) 1))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (patch (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 x) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (patch (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- 1 (/ 1 x)) x) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (patch (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) x) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (patch (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))) x) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (patch (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (patch (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (- (/ 1 x) 1) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (patch (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (patch (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (patch (/.f64 #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 (+ 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>) () ())) ()) |
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#s(alt (/ -3 x) (taylor -inf x) (#s(alt #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)))) (patch #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)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ 3 (/ 1 x)) x)) (taylor -inf x) (#s(alt #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)))) (patch #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)))) #<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 (fma.f64 x (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) #s(literal -3 binary64)) (*.f64 x (*.f64 x x)))) (patch #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)))) #<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 (fma.f64 x (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) #s(literal -3 binary64)) (*.f64 x (*.f64 x x)))) (patch #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)))) #<representation binary64>) () ())) ()) |
#s(alt (/ -3 (pow x 3)) (taylor 0 x) (#s(alt (/.f64 (fma.f64 x (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) #s(literal -3 binary64)) (*.f64 x (*.f64 x x))) (patch (/.f64 (fma.f64 x (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) #s(literal -3 binary64)) (*.f64 x (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* -1 x) 3) (pow x 3)) (taylor 0 x) (#s(alt (/.f64 (fma.f64 x (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) #s(literal -3 binary64)) (*.f64 x (*.f64 x x))) (patch (/.f64 (fma.f64 x (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) #s(literal -3 binary64)) (*.f64 x (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* x (- (* -3 x) 1)) 3) (pow x 3)) (taylor 0 x) (#s(alt (/.f64 (fma.f64 x (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) #s(literal -3 binary64)) (*.f64 x (*.f64 x x))) (patch (/.f64 (fma.f64 x (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) #s(literal -3 binary64)) (*.f64 x (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* x (- (* -3 x) 1)) 3) (pow x 3)) (taylor 0 x) (#s(alt (/.f64 (fma.f64 x (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) #s(literal -3 binary64)) (*.f64 x (*.f64 x x))) (patch (/.f64 (fma.f64 x (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) #s(literal -3 binary64)) (*.f64 x (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (/ -3 x) (taylor inf x) (#s(alt (/.f64 (fma.f64 x (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) #s(literal -3 binary64)) (*.f64 x (*.f64 x x))) (patch (/.f64 (fma.f64 x (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) #s(literal -3 binary64)) (*.f64 x (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ 3 (/ 1 x)) x)) (taylor inf x) (#s(alt (/.f64 (fma.f64 x (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) #s(literal -3 binary64)) (*.f64 x (*.f64 x x))) (patch (/.f64 (fma.f64 x (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) #s(literal -3 binary64)) (*.f64 x (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x) (taylor inf x) (#s(alt (/.f64 (fma.f64 x (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) #s(literal -3 binary64)) (*.f64 x (*.f64 x x))) (patch (/.f64 (fma.f64 x (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) #s(literal -3 binary64)) (*.f64 x (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x) (taylor inf x) (#s(alt (/.f64 (fma.f64 x (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) #s(literal -3 binary64)) (*.f64 x (*.f64 x x))) (patch (/.f64 (fma.f64 x (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) #s(literal -3 binary64)) (*.f64 x (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (/ -3 x) (taylor -inf x) (#s(alt (/.f64 (fma.f64 x (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) #s(literal -3 binary64)) (*.f64 x (*.f64 x x))) (patch (/.f64 (fma.f64 x (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) #s(literal -3 binary64)) (*.f64 x (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ 3 (/ 1 x)) x)) (taylor -inf x) (#s(alt (/.f64 (fma.f64 x (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) #s(literal -3 binary64)) (*.f64 x (*.f64 x x))) (patch (/.f64 (fma.f64 x (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) #s(literal -3 binary64)) (*.f64 x (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x)) (taylor -inf x) (#s(alt (/.f64 (fma.f64 x (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) #s(literal -3 binary64)) (*.f64 x (*.f64 x x))) (patch (/.f64 (fma.f64 x (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) #s(literal -3 binary64)) (*.f64 x (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x)) (taylor -inf x) (#s(alt (/.f64 (fma.f64 x (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) #s(literal -3 binary64)) (*.f64 x (*.f64 x x))) (patch (/.f64 (fma.f64 x (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) #s(literal -3 binary64)) (*.f64 x (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt -3 (taylor 0 x) (#s(alt (fma.f64 x (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) #s(literal -3 binary64)) (patch (fma.f64 x (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) #s(literal -3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (* -1 x) 3) (taylor 0 x) (#s(alt (fma.f64 x (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) #s(literal -3 binary64)) (patch (fma.f64 x (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) #s(literal -3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (* x (- (* -3 x) 1)) 3) (taylor 0 x) (#s(alt (fma.f64 x (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) #s(literal -3 binary64)) (patch (fma.f64 x (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) #s(literal -3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (* x (- (* -3 x) 1)) 3) (taylor 0 x) (#s(alt (fma.f64 x (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) #s(literal -3 binary64)) (patch (fma.f64 x (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) #s(literal -3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -3 (pow x 2)) (taylor inf x) (#s(alt (fma.f64 x (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) #s(literal -3 binary64)) (patch (fma.f64 x (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) #s(literal -3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 2) (+ 3 (/ 1 x)))) (taylor inf x) (#s(alt (fma.f64 x (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) #s(literal -3 binary64)) (patch (fma.f64 x (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) #s(literal -3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3)) (taylor inf x) (#s(alt (fma.f64 x (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) #s(literal -3 binary64)) (patch (fma.f64 x (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) #s(literal -3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3)) (taylor inf x) (#s(alt (fma.f64 x (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) #s(literal -3 binary64)) (patch (fma.f64 x (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) #s(literal -3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -3 (pow x 2)) (taylor -inf x) (#s(alt (fma.f64 x (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) #s(literal -3 binary64)) (patch (fma.f64 x (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) #s(literal -3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 2) (+ 3 (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f64 x (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) #s(literal -3 binary64)) (patch (fma.f64 x (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) #s(literal -3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3)) (taylor -inf x) (#s(alt (fma.f64 x (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) #s(literal -3 binary64)) (patch (fma.f64 x (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) #s(literal -3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3)) (taylor -inf x) (#s(alt (fma.f64 x (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) #s(literal -3 binary64)) (patch (fma.f64 x (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) #s(literal -3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt -1 (taylor 0 x) (#s(alt (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (patch (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (* -3 x) 1) (taylor 0 x) (#s(alt (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (patch (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (* -3 x) 1) (taylor 0 x) (#s(alt (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (patch (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (* -3 x) 1) (taylor 0 x) (#s(alt (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (patch (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -3 x) (taylor inf x) (#s(alt (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (patch (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ 3 (/ 1 x)))) (taylor inf x) (#s(alt (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (patch (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ 3 (/ 1 x)))) (taylor inf x) (#s(alt (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (patch (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ 3 (/ 1 x)))) (taylor inf x) (#s(alt (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (patch (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -3 x) (taylor -inf x) (#s(alt (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (patch (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ 3 (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (patch (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ 3 (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (patch (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ 3 (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (patch (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) #<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>) () ())) ()) |
57 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 98.0ms | x | @ | -inf | (/ (+ -3 (/ -1 x)) x) |
| 0.0ms | x | @ | -inf | (/ (+ (* x (+ (* x -3) -1)) -3) (* x (* x x))) |
| 0.0ms | x | @ | 0 | (/ (+ -3 (/ -1 x)) x) |
| 0.0ms | x | @ | inf | (/ (+ -3 (/ -1 x)) x) |
| 0.0ms | x | @ | 0 | (/ -1 x) |
| 1× | egg-herbie |
| 16 514× | lower-fma.f64 |
| 16 514× | lower-fma.f32 |
| 3 584× | lower-*.f64 |
| 3 584× | lower-*.f32 |
| 2 694× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 124 | 1469 |
| 1 | 373 | 1364 |
| 2 | 931 | 1330 |
| 3 | 3240 | 1324 |
| 0 | 8024 | 1240 |
| 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)) |
1 |
(+ 1 (* -1 x)) |
(+ 1 (* x (- x 1))) |
(+ 1 (* x (- (* x (+ 1 (* -1 x))) 1))) |
(/ 1 x) |
(/ (- 1 (/ 1 x)) x) |
(/ (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) x) |
(/ (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))) x) |
(/ 1 x) |
(* -1 (/ (- (/ 1 x) 1) x)) |
(* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) 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 |
(+ 1 (* 2 x)) |
(+ 1 (* x (+ 2 (* 2 x)))) |
(+ 1 (* x (+ 2 (* x (+ 2 (* 2 x)))))) |
-1 |
(* -1 (+ 1 (* 2 (/ 1 x)))) |
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1) |
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 1 (* 2 (/ 1 x)))) |
-1 |
(* -1 (+ 1 (* 2 (/ 1 x)))) |
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1) |
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 1) |
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))) |
(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)) |
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 (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) |
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 |
(- (* -1 x) 3) |
(- (* x (- (* -3 x) 1)) 3) |
(- (* x (- (* -3 x) 1)) 3) |
(* -3 (pow x 2)) |
(* -1 (* (pow x 2) (+ 3 (/ 1 x)))) |
(* (pow x 2) (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3)) |
(* (pow x 2) (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3)) |
(* -3 (pow x 2)) |
(* -1 (* (pow x 2) (+ 3 (/ 1 x)))) |
(* (pow x 2) (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3)) |
(* (pow x 2) (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3)) |
-1 |
(- (* -3 x) 1) |
(- (* -3 x) 1) |
(- (* -3 x) 1) |
(* -3 x) |
(* -1 (* x (+ 3 (/ 1 x)))) |
(* -1 (* x (+ 3 (/ 1 x)))) |
(* -1 (* x (+ 3 (/ 1 x)))) |
(* -3 x) |
(* -1 (* x (+ 3 (/ 1 x)))) |
(* -1 (* x (+ 3 (/ 1 x)))) |
(* -1 (* x (+ 3 (/ 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) |
| 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 x x #s(literal 1 binary64)) (fma.f64 #s(literal 3 binary64) 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 (fma.f64 x #s(literal -3 binary64) #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 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 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x (*.f64 x x))) (+.f64 x (/.f64 #s(literal 1 binary64) 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 (* -1 x))) 1))) |
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ (- 1 (/ 1 x)) x) |
(/.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 x x)) |
(/ (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) x) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x))) x) |
(/ (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))) x) |
(/.f64 (-.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x)) (*.f64 x x)) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(* -1 (/ (- (/ 1 x) 1) x)) |
(/.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 x x)) |
(* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x))) x) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) x)) |
(/.f64 (-.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x)) (*.f64 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) |
(+ 1 (* 2 x)) |
(fma.f64 x #s(literal 2 binary64) #s(literal 1 binary64)) |
(+ 1 (* x (+ 2 (* 2 x)))) |
(fma.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(+ 1 (* x (+ 2 (* x (+ 2 (* 2 x)))))) |
(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 (+ 1 (* 2 (/ 1 x)))) |
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x)) |
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1) |
(-.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x))) |
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 1 (* 2 (/ 1 x)))) |
(-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) x)) |
-1 |
#s(literal -1 binary64) |
(* -1 (+ 1 (* 2 (/ 1 x)))) |
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x)) |
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1) |
(-.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x))) |
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 1) |
(-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x) #s(literal 2 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 x x #s(literal 1 binary64)) (fma.f64 #s(literal 3 binary64) 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 (fma.f64 x #s(literal -3 binary64) #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 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 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x (*.f64 x x))) (+.f64 x (/.f64 #s(literal 1 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))) |
(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))) |
(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)) |
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 x x #s(literal 1 binary64)) (fma.f64 #s(literal 3 binary64) 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 (fma.f64 x #s(literal -3 binary64) #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 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 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x (*.f64 x x))) (+.f64 x (/.f64 #s(literal 1 binary64) x))) |
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 (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 x x #s(literal 1 binary64)) (fma.f64 #s(literal 3 binary64) 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 (fma.f64 x #s(literal -3 binary64) #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 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 (fma.f64 x #s(literal -3 binary64) #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 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 |
#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 x x #s(literal 1 binary64)) (fma.f64 #s(literal 3 binary64) 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 (fma.f64 x #s(literal -3 binary64) #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 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 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x (*.f64 x x))) (+.f64 x (/.f64 #s(literal 1 binary64) 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 |
#s(literal -3 binary64) |
(- (* -1 x) 3) |
(-.f64 #s(literal -3 binary64) x) |
(- (* x (- (* -3 x) 1)) 3) |
(fma.f64 x (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) #s(literal -3 binary64)) |
(- (* x (- (* -3 x) 1)) 3) |
(fma.f64 x (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) #s(literal -3 binary64)) |
(* -3 (pow x 2)) |
(*.f64 #s(literal -3 binary64) (*.f64 x x)) |
(* -1 (* (pow x 2) (+ 3 (/ 1 x)))) |
(*.f64 x (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))) |
(* (pow x 2) (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3)) |
(fma.f64 x (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) #s(literal -3 binary64)) |
(* (pow x 2) (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3)) |
(fma.f64 x (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) #s(literal -3 binary64)) |
(* -3 (pow x 2)) |
(*.f64 #s(literal -3 binary64) (*.f64 x x)) |
(* -1 (* (pow x 2) (+ 3 (/ 1 x)))) |
(*.f64 x (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))) |
(* (pow x 2) (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3)) |
(fma.f64 x (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) #s(literal -3 binary64)) |
(* (pow x 2) (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3)) |
(fma.f64 x (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) #s(literal -3 binary64)) |
-1 |
#s(literal -1 binary64) |
(- (* -3 x) 1) |
(fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) |
(- (* -3 x) 1) |
(fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) |
(- (* -3 x) 1) |
(fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) |
(* -3 x) |
(*.f64 x #s(literal -3 binary64)) |
(* -1 (* x (+ 3 (/ 1 x)))) |
(fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) |
(* -1 (* x (+ 3 (/ 1 x)))) |
(fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) |
(* -1 (* x (+ 3 (/ 1 x)))) |
(fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) |
(* -3 x) |
(*.f64 x #s(literal -3 binary64)) |
(* -1 (* x (+ 3 (/ 1 x)))) |
(fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) |
(* -1 (* x (+ 3 (/ 1 x)))) |
(fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) |
(* -1 (* x (+ 3 (/ 1 x)))) |
(fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) |
(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)) |
| 6 304× | lower-fma.f32 |
| 6 292× | lower-fma.f64 |
| 5 134× | lower-/.f32 |
| 5 124× | lower-/.f64 |
| 4 188× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 188 |
| 0 | 54 | 181 |
| 1 | 266 | 181 |
| 2 | 2504 | 181 |
| 0 | 9179 | 179 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) x (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))) |
(/.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 #s(literal 1 binary64) 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)) |
(fma.f64 x #s(literal 3 binary64) (fma.f64 x x #s(literal 1 binary64))) |
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 x #s(literal 3 binary64) (fma.f64 x x #s(literal 1 binary64)))) |
(fma.f64 x x #s(literal 1 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) |
#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 (fma.f64 x (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) #s(literal -3 binary64)) (*.f64 x (*.f64 x x))) |
(fma.f64 x (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) #s(literal -3 binary64)) |
(fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) |
(*.f64 x (*.f64 x x)) |
| Outputs |
|---|
(+.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (/.f64 x (+.f64 #s(literal 1 binary64) x))) |
(+.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) |
(-.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (/.f64 (+.f64 #s(literal 1 binary64) x) (+.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 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (fma.f64 x x #s(literal -1 binary64)))) |
(-.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))) (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))) (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))) (/.f64 x (+.f64 #s(literal 1 binary64) x))) (/.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))) (/.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) (*.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))) (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))) (/.f64 x (+.f64 #s(literal 1 binary64) x))) (/.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))) |
(-.f64 (/.f64 (/.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))) (/.f64 x (+.f64 #s(literal 1 binary64) x)))) (/.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))) (/.f64 x (+.f64 #s(literal 1 binary64) x))))) |
(-.f64 (/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x) (-.f64 #s(literal 1 binary64) x))) (/.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x) (+.f64 #s(literal -1 binary64) (neg.f64 x))) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x) (-.f64 #s(literal 1 binary64) x)))) |
(-.f64 (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -1 binary64) (neg.f64 x))) (*.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) |
(-.f64 (/.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 #s(literal -1 binary64) (neg.f64 x)) (-.f64 #s(literal 1 binary64) x))) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 #s(literal -1 binary64) (neg.f64 x)) (-.f64 #s(literal 1 binary64) x)))) |
(-.f64 (/.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x) (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x)))) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x) (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x))))) |
(-.f64 (/.f64 (*.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x) (+.f64 x #s(literal -1 binary64)))) (/.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x) (+.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x) (+.f64 x #s(literal -1 binary64))))) |
(-.f64 (/.f64 (*.f64 x (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x))) (*.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x)))) (/.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x))))) |
(-.f64 (/.f64 (*.f64 (neg.f64 x) (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x))) (*.f64 (+.f64 #s(literal -1 binary64) (neg.f64 x)) (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x)))) (/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (neg.f64 x)) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal -1 binary64) (neg.f64 x)) (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x))))) |
(-.f64 (/.f64 (*.f64 (neg.f64 x) (+.f64 x #s(literal -1 binary64))) (*.f64 (+.f64 #s(literal -1 binary64) (neg.f64 x)) (+.f64 x #s(literal -1 binary64)))) (/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (neg.f64 x)) (+.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 #s(literal -1 binary64) (neg.f64 x)) (+.f64 x #s(literal -1 binary64))))) |
(-.f64 (/.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (/.f64 x (+.f64 #s(literal 1 binary64) x)))) (/.f64 (/.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (/.f64 x (+.f64 #s(literal 1 binary64) x))))) |
(fma.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (/.f64 x (+.f64 #s(literal 1 binary64) x))) |
(fma.f64 #s(literal 1 binary64) (/.f64 x (+.f64 #s(literal 1 binary64) x)) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) |
(fma.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) |
(fma.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (/.f64 x (+.f64 #s(literal 1 binary64) x))) |
(fma.f64 (+.f64 #s(literal 1 binary64) x) (neg.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x))) (/.f64 x (+.f64 #s(literal 1 binary64) x))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) x (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 x #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) |
(fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))) (/.f64 x (+.f64 #s(literal 1 binary64) x))) |
(fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))) (/.f64 x (+.f64 #s(literal 1 binary64) x))) |
(fma.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) |
(fma.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) |
(fma.f64 (+.f64 #s(literal -1 binary64) (neg.f64 x)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x)) (/.f64 x (+.f64 #s(literal 1 binary64) x))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) x) (/.f64 x (+.f64 #s(literal 1 binary64) x))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (/.f64 x (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x))) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) |
(fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) x) (/.f64 x (+.f64 #s(literal 1 binary64) x))) |
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(fma.f64 x (*.f64 x #s(literal -3 binary64)) (+.f64 (neg.f64 x) #s(literal -3 binary64))) |
(fma.f64 #s(literal -3 binary64) (*.f64 x x) (+.f64 (neg.f64 x) #s(literal -3 binary64))) |
(fma.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) x #s(literal -3 binary64)) |
(fma.f64 (*.f64 x x) #s(literal -3 binary64) (+.f64 (neg.f64 x) #s(literal -3 binary64))) |
(fma.f64 (*.f64 x #s(literal -3 binary64)) x (+.f64 (neg.f64 x) #s(literal -3 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 x (*.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)))) #s(literal 9 binary64)) (*.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x #s(literal -3 binary64)))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)))) #s(literal -27 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) #s(literal 3 binary64)) (fma.f64 x (*.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)))) #s(literal -9 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (fma.f64 x (*.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)))) #s(literal 9 binary64)) (*.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x #s(literal -3 binary64)))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)))) #s(literal -27 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) #s(literal 3 binary64)) (fma.f64 x (*.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)))) #s(literal -9 binary64))))) |
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)))) #s(literal -27 binary64)) (-.f64 (fma.f64 x (*.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)))) #s(literal 9 binary64)) (*.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x #s(literal -3 binary64))))) |
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)))) #s(literal -27 binary64)) (+.f64 #s(literal 9 binary64) (-.f64 (*.f64 x (*.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))))) (*.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x #s(literal -3 binary64)))))) |
(/.f64 (fma.f64 x (*.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)))) #s(literal -9 binary64)) (fma.f64 x (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) #s(literal 3 binary64))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)))) #s(literal -27 binary64))) (neg.f64 (-.f64 (fma.f64 x (*.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)))) #s(literal 9 binary64)) (*.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x #s(literal -3 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)))) #s(literal -27 binary64))) (neg.f64 (+.f64 #s(literal 9 binary64) (-.f64 (*.f64 x (*.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))))) (*.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x #s(literal -3 binary64))))))) |
(/.f64 (neg.f64 (fma.f64 x (*.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)))) #s(literal -9 binary64))) (neg.f64 (fma.f64 x (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) #s(literal 3 binary64)))) |
(/.f64 (-.f64 #s(literal 9 binary64) (*.f64 x (*.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)))))) (-.f64 #s(literal -3 binary64) (*.f64 x (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)))) #s(literal -27 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 x (*.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)))) #s(literal 9 binary64)) (*.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x #s(literal -3 binary64))))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 x (*.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)))) #s(literal -9 binary64)))) (neg.f64 (neg.f64 (fma.f64 x (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) #s(literal 3 binary64))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 9 binary64) (*.f64 x (*.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))))))) (neg.f64 (-.f64 #s(literal -3 binary64) (*.f64 x (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)))))) |
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27 binary64)) (pow.f64 (+.f64 (neg.f64 x) #s(literal -3 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 x (*.f64 x #s(literal -3 binary64))) (*.f64 x (*.f64 x #s(literal -3 binary64))) (-.f64 (*.f64 (+.f64 (neg.f64 x) #s(literal -3 binary64)) (+.f64 (neg.f64 x) #s(literal -3 binary64))) (*.f64 (*.f64 x (*.f64 x #s(literal -3 binary64))) (+.f64 (neg.f64 x) #s(literal -3 binary64)))))) |
(/.f64 (+.f64 (pow.f64 (+.f64 #s(literal -3 binary64) (*.f64 x (*.f64 x #s(literal -3 binary64)))) #s(literal 3 binary64)) (neg.f64 (*.f64 x (*.f64 x x)))) (fma.f64 (+.f64 #s(literal -3 binary64) (*.f64 x (*.f64 x #s(literal -3 binary64)))) (+.f64 #s(literal -3 binary64) (*.f64 x (*.f64 x #s(literal -3 binary64)))) (-.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal -3 binary64) (*.f64 x (*.f64 x #s(literal -3 binary64)))) (neg.f64 x))))) |
(pow.f64 (/.f64 (-.f64 (fma.f64 x (*.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)))) #s(literal 9 binary64)) (*.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x #s(literal -3 binary64)))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)))) #s(literal -27 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 x (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) #s(literal 3 binary64)) (fma.f64 x (*.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)))) #s(literal -9 binary64))) #s(literal -1 binary64)) |
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)))) #s(literal -27 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x (*.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)))) #s(literal 9 binary64)) (*.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x #s(literal -3 binary64)))))) |
(*.f64 (fma.f64 x (*.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)))) #s(literal -9 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) #s(literal 3 binary64)))) |
(+.f64 #s(literal -1 binary64) (*.f64 x #s(literal -3 binary64))) |
(+.f64 (*.f64 x #s(literal -3 binary64)) #s(literal -1 binary64)) |
(-.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) (fma.f64 x #s(literal -3 binary64) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -3 binary64) #s(literal 1 binary64)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (*.f64 x #s(literal -3 binary64)))) (/.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) (-.f64 #s(literal -1 binary64) (*.f64 x #s(literal -3 binary64))))) |
(fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) |
(fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x x) #s(literal 9 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64)))) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 27 binary64) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) #s(literal 9 binary64) #s(literal -1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 9 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64)))) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 27 binary64) #s(literal -1 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) #s(literal 9 binary64) #s(literal -1 binary64))))) |
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 27 binary64) #s(literal -1 binary64)) (fma.f64 (*.f64 x x) #s(literal 9 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64))))) |
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 27 binary64) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) (*.f64 x #s(literal 3 binary64))))) |
(/.f64 (fma.f64 (*.f64 x x) #s(literal 9 binary64) #s(literal -1 binary64)) (fma.f64 x #s(literal -3 binary64) #s(literal 1 binary64))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 27 binary64) #s(literal -1 binary64))) (neg.f64 (fma.f64 (*.f64 x x) #s(literal 9 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 27 binary64) #s(literal -1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) (*.f64 x #s(literal 3 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 9 binary64) #s(literal -1 binary64))) (neg.f64 (fma.f64 x #s(literal -3 binary64) #s(literal 1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 9 binary64))) (-.f64 #s(literal -1 binary64) (*.f64 x #s(literal -3 binary64)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 9 binary64)))) (neg.f64 (-.f64 #s(literal -1 binary64) (*.f64 x #s(literal -3 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 27 binary64) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 9 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64))))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 9 binary64) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (fma.f64 x #s(literal -3 binary64) #s(literal 1 binary64))))) |
(pow.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 9 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64)))) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 27 binary64) #s(literal -1 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) #s(literal 9 binary64) #s(literal -1 binary64))) #s(literal -1 binary64)) |
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 27 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 9 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64)))))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 9 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -3 binary64) #s(literal 1 binary64)))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 x x)) #s(literal 3/2 binary64))) |
(pow.f64 x #s(literal 3 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64)) |
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 3 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) |
(*.f64 x (*.f64 x x)) |
(*.f64 (*.f64 x x) x) |
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 1 binary64)) |
(*.f64 (*.f64 x (*.f64 x x)) (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64))) |
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) |
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)) (*.f64 x (*.f64 x x))) |
Compiled 20 033 to 1 926 computations (90.4% saved)
20 alts after pruning (11 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 922 | 5 | 927 |
| Fresh | 1 | 6 | 7 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 4 | 4 |
| Total | 923 | 20 | 943 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 58.6% | (fma.f64 (/.f64 x (fma.f64 x x #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) |
| ✓ | 58.6% | (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) x (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))) |
| 55.6% | (fma.f64 #s(approx (/ 1 (+ x 1)) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))) x (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))) | |
| ▶ | 58.1% | (/.f64 (fma.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 x #s(literal -1 binary64))) |
| 57.9% | (/.f64 (-.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 x (+.f64 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 x #s(literal 1 binary64))) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))))) (*.f64 (+.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 x #s(literal -1 binary64)))))) | |
| ✓ | 59.2% | (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) |
| ✓ | 55.4% | #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 1 binary64))) |
| ✓ | 54.9% | #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 x #s(approx (+ 3 x) #s(literal 3 binary64)) #s(literal 1 binary64))) |
| ✓ | 55.4% | #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 x #s(literal 3 binary64) (fma.f64 x x #s(literal 1 binary64)))) |
| 27.0% | #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x))) (fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 1 binary64)) #s(literal -3 binary64)) x)) | |
| ✓ | 20.1% | #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)))) |
| 27.6% | #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x x))) | |
| ✓ | 44.8% | #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x)) |
| ▶ | 46.0% | #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (+.f64 #s(literal -3 binary64) #s(approx (/ (+ -1 (/ -3 x)) x) (/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x)))) x)) |
| 18.8% | #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(approx (+ (* x (+ (* x -3) -1)) -3) (*.f64 x (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)))) (*.f64 x (*.f64 x x)))) | |
| ▶ | 45.6% | #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(approx (+ -3 (/ (+ -1 (/ -3 x)) x)) #s(literal -3 binary64)) x)) |
| ✓ | 55.0% | #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)))) |
| 20.7% | #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x (*.f64 x x))) (+.f64 x (/.f64 #s(literal 1 binary64) x)))) | |
| ▶ | 44.5% | #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)))) |
| ✓ | 55.3% | #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) #s(literal 1 binary64)) |
Compiled 557 to 254 computations (54.4% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 (fma.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 x #s(literal -1 binary64))) | |
| cost-diff | 128 | (+.f64 (neg.f64 x) #s(literal -1 binary64)) | |
| cost-diff | 128 | (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (neg.f64 x) #s(literal -1 binary64))) | |
| cost-diff | 768 | (fma.f64 x (+.f64 x #s(literal -1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (neg.f64 x) #s(literal -1 binary64)))) | |
| cost-diff | 0 | #s(approx (/ (+ -1 (/ -3 x)) x) (/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x))) | |
| cost-diff | 0 | (+.f64 #s(literal -3 binary64) #s(approx (/ (+ -1 (/ -3 x)) x) (/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x)))) | |
| cost-diff | 0 | (/.f64 (+.f64 #s(literal -3 binary64) #s(approx (/ (+ -1 (/ -3 x)) x) (/.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) #s(approx (/ (+ -1 (/ -3 x)) x) (/.f64 (-.f64 #s(literal -3 binary64) 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 | 512 | (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) 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 | (+.f64 x #s(literal -1 binary64)) | |
| cost-diff | 0 | (fma.f64 x x #s(literal -1 binary64)) | |
| cost-diff | 0 | (/.f64 x (fma.f64 x x #s(literal -1 binary64))) | |
| cost-diff | 576 | (fma.f64 (/.f64 x (fma.f64 x x #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) |
| 20 770× | lower-fma.f32 |
| 20 764× | lower-fma.f64 |
| 2 852× | lower-*.f32 |
| 2 846× | lower-*.f64 |
| 2 016× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 41 | 303 |
| 0 | 66 | 303 |
| 1 | 121 | 295 |
| 2 | 257 | 293 |
| 3 | 577 | 291 |
| 4 | 1653 | 277 |
| 5 | 6284 | 277 |
| 0 | 8172 | 274 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (/.f64 x (fma.f64 x x #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) |
(/.f64 x (fma.f64 x x #s(literal -1 binary64))) |
x |
(fma.f64 x x #s(literal -1 binary64)) |
#s(literal -1 binary64) |
(+.f64 x #s(literal -1 binary64)) |
(/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) |
(+.f64 #s(literal 1 binary64) x) |
#s(literal 1 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)) |
(/.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 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))) (/.f64 (+.f64 #s(literal -3 binary64) #s(approx (/ (+ -1 (/ -3 x)) x) (/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x)))) x)) |
(/.f64 (+.f64 #s(literal -3 binary64) #s(approx (/ (+ -1 (/ -3 x)) x) (/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x)))) x) |
(+.f64 #s(literal -3 binary64) #s(approx (/ (+ -1 (/ -3 x)) x) (/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x)))) |
#s(literal -3 binary64) |
#s(approx (/ (+ -1 (/ -3 x)) x) (/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x))) |
(/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x)) |
(-.f64 #s(literal -3 binary64) x) |
x |
(*.f64 x x) |
(/.f64 (fma.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 x #s(literal -1 binary64))) |
(fma.f64 x (+.f64 x #s(literal -1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (neg.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 (neg.f64 x) #s(literal -1 binary64))) |
(+.f64 x #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(+.f64 (neg.f64 x) #s(literal -1 binary64)) |
(neg.f64 x) |
(fma.f64 x x #s(literal -1 binary64)) |
| Outputs |
|---|
(fma.f64 (/.f64 x (fma.f64 x x #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) |
(+.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) (/.f64 x (+.f64 x #s(literal 1 binary64)))) |
(/.f64 x (fma.f64 x x #s(literal -1 binary64))) |
x |
(fma.f64 x x #s(literal -1 binary64)) |
#s(literal -1 binary64) |
(+.f64 x #s(literal -1 binary64)) |
(/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) |
(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) |
(+.f64 #s(literal 1 binary64) x) |
(+.f64 x #s(literal 1 binary64)) |
#s(literal 1 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)) |
(/.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 1 binary64) x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) 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 1 binary64) x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x))) |
(/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 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))) (/.f64 (+.f64 #s(literal -3 binary64) #s(approx (/ (+ -1 (/ -3 x)) x) (/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x)))) x)) |
(/.f64 (+.f64 #s(literal -3 binary64) #s(approx (/ (+ -1 (/ -3 x)) x) (/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x)))) x) |
(+.f64 #s(literal -3 binary64) #s(approx (/ (+ -1 (/ -3 x)) x) (/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x)))) |
#s(literal -3 binary64) |
#s(approx (/ (+ -1 (/ -3 x)) x) (/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x))) |
(/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x)) |
(-.f64 #s(literal -3 binary64) x) |
x |
(*.f64 x x) |
(/.f64 (fma.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 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 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 #s(literal -3 binary64) #s(literal -1 binary64)) |
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 x (-.f64 #s(literal -2 binary64) x) #s(literal -1 binary64)) |
(+.f64 x #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(+.f64 (neg.f64 x) #s(literal -1 binary64)) |
(-.f64 #s(literal -1 binary64) x) |
(neg.f64 x) |
(fma.f64 x x #s(literal -1 binary64)) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (neg.f64 x) | |
| accuracy | 0.00390625 | (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (neg.f64 x) #s(literal -1 binary64))) | |
| accuracy | 11.01020756101914 | (/.f64 (fma.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 x #s(literal -1 binary64))) | |
| accuracy | 26.596913939597545 | (fma.f64 x (+.f64 x #s(literal -1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (neg.f64 x) #s(literal -1 binary64)))) | |
| accuracy | 0 | #s(approx (/ (+ -1 (/ -3 x)) x) (/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x))) | |
| accuracy | 0.06640625 | (/.f64 (+.f64 #s(literal -3 binary64) #s(approx (/ (+ -1 (/ -3 x)) x) (/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x)))) x) | |
| accuracy | 11.050003431421969 | (/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x)) | |
| accuracy | 34.526581693441244 | #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (+.f64 #s(literal -3 binary64) #s(approx (/ (+ -1 (/ -3 x)) x) (/.f64 (-.f64 #s(literal -3 binary64) 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 | 0.3203125 | (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x))) | |
| accuracy | 35.35067730999515 | #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 | 0.06640625 | (/.f64 #s(approx (+ -3 (/ (+ -1 (/ -3 x)) x)) #s(literal -3 binary64)) x) | |
| accuracy | 34.48051156369631 | #s(approx (+ -3 (/ (+ -1 (/ -3 x)) x)) #s(literal -3 binary64)) | |
| accuracy | 34.526581693441244 | #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(approx (+ -3 (/ (+ -1 (/ -3 x)) x)) #s(literal -3 binary64)) x)) | |
| accuracy | 0 | (+.f64 #s(literal 1 binary64) x) | |
| accuracy | 0.015625 | (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) | |
| accuracy | 10.956253431421969 | (/.f64 x (fma.f64 x x #s(literal -1 binary64))) | |
| accuracy | 26.465440397094017 | (fma.f64 (/.f64 x (fma.f64 x x #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) |
| 34.0ms | 146× | 0 | valid |
| 33.0ms | 64× | 1 | valid |
| 32.0ms | 46× | 2 | valid |
Compiled 241 to 37 computations (84.6% saved)
ival-div: 23.0ms (32.1% of total)ival-add: 15.0ms (20.9% of total)adjust: 15.0ms (20.9% of total)ival-mult: 11.0ms (15.4% of total)ival-sub: 6.0ms (8.4% of total)ival-neg: 1.0ms (1.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (fma.f64 (/.f64 x (fma.f64 x x #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) (patch (fma.f64 (/.f64 x (fma.f64 x x #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ()) |
#s(alt (/.f64 x (fma.f64 x x #s(literal -1 binary64))) (patch (/.f64 x (fma.f64 x 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 (+.f64 x #s(literal -1 binary64)) (patch (+.f64 x #s(literal -1 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 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 1 binary64) x) (patch (/.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))) (/.f64 (+.f64 #s(literal -3 binary64) #s(approx (/ (+ -1 (/ -3 x)) x) (/.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) #s(approx (/ (+ -1 (/ -3 x)) x) (/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x)))) x)) #<representation binary64>) () ()) |
#s(alt (/.f64 (+.f64 #s(literal -3 binary64) #s(approx (/ (+ -1 (/ -3 x)) x) (/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x)))) x) (patch (/.f64 (+.f64 #s(literal -3 binary64) #s(approx (/ (+ -1 (/ -3 x)) x) (/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x)))) x) #<representation binary64>) () ()) |
#s(alt (+.f64 #s(literal -3 binary64) #s(approx (/ (+ -1 (/ -3 x)) x) (/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x)))) (patch (+.f64 #s(literal -3 binary64) #s(approx (/ (+ -1 (/ -3 x)) x) (/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x)))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (+ -1 (/ -3 x)) x) (/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x))) (patch #s(approx (/ (+ -1 (/ -3 x)) x) (/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x))) #<representation binary64>) () ()) |
#s(alt (fma.f64 x (+.f64 x #s(literal -1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (neg.f64 x) #s(literal -1 binary64)))) (patch (fma.f64 x (+.f64 x #s(literal -1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (neg.f64 x) #s(literal -1 binary64)))) #<representation binary64>) () ()) |
#s(alt (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (neg.f64 x) #s(literal -1 binary64))) (patch (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (neg.f64 x) #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 (/.f64 (fma.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 x #s(literal -1 binary64))) (patch (/.f64 (fma.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 x #s(literal -1 binary64))) #<representation binary64>) () ()) |
#s(alt (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (patch (/.f64 (+.f64 #s(literal 1 binary64) x) (-.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 #s(literal -1 binary64) x) (patch (/.f64 #s(literal -1 binary64) 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 (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt 1 (taylor 0 x) (#s(alt (fma.f64 (/.f64 x (fma.f64 x x #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) (patch (fma.f64 (/.f64 x (fma.f64 x x #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* 3 x)) (taylor 0 x) (#s(alt (fma.f64 (/.f64 x (fma.f64 x x #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) (patch (fma.f64 (/.f64 x (fma.f64 x x #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* x (+ 3 x))) (taylor 0 x) (#s(alt (fma.f64 (/.f64 x (fma.f64 x x #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) (patch (fma.f64 (/.f64 x (fma.f64 x x #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* x (+ 3 (* x (+ 1 (* 3 x)))))) (taylor 0 x) (#s(alt (fma.f64 (/.f64 x (fma.f64 x x #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) (patch (fma.f64 (/.f64 x (fma.f64 x x #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (/ -3 x) (taylor inf x) (#s(alt (fma.f64 (/.f64 x (fma.f64 x x #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) (patch (fma.f64 (/.f64 x (fma.f64 x x #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ 3 (/ 1 x)) x)) (taylor inf x) (#s(alt (fma.f64 (/.f64 x (fma.f64 x x #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) (patch (fma.f64 (/.f64 x (fma.f64 x x #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x) (taylor inf x) (#s(alt (fma.f64 (/.f64 x (fma.f64 x x #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) (patch (fma.f64 (/.f64 x (fma.f64 x x #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* -1 (/ (+ 3 (/ 1 x)) (pow x 2))) (+ 3 (/ 1 x))) x) (taylor inf x) (#s(alt (fma.f64 (/.f64 x (fma.f64 x x #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) (patch (fma.f64 (/.f64 x (fma.f64 x x #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (/ -3 x) (taylor -inf x) (#s(alt (fma.f64 (/.f64 x (fma.f64 x x #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) (patch (fma.f64 (/.f64 x (fma.f64 x x #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ 3 (/ 1 x)) x)) (taylor -inf x) (#s(alt (fma.f64 (/.f64 x (fma.f64 x x #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) (patch (fma.f64 (/.f64 x (fma.f64 x x #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x)) (taylor -inf x) (#s(alt (fma.f64 (/.f64 x (fma.f64 x x #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) (patch (fma.f64 (/.f64 x (fma.f64 x x #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ 3 (* -1 (/ (- (* -1 (/ (+ 3 (/ 1 x)) x)) 1) x))) x)) (taylor -inf x) (#s(alt (fma.f64 (/.f64 x (fma.f64 x x #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) (patch (fma.f64 (/.f64 x (fma.f64 x x #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor 0 x) (#s(alt (/.f64 x (fma.f64 x x #s(literal -1 binary64))) (patch (/.f64 x (fma.f64 x x #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (* -1 (pow x 2)) 1)) (taylor 0 x) (#s(alt (/.f64 x (fma.f64 x x #s(literal -1 binary64))) (patch (/.f64 x (fma.f64 x x #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (* (pow x 2) (- (* -1 (pow x 2)) 1)) 1)) (taylor 0 x) (#s(alt (/.f64 x (fma.f64 x x #s(literal -1 binary64))) (patch (/.f64 x (fma.f64 x x #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (* (pow x 2) (- (* (pow x 2) (- (* -1 (pow x 2)) 1)) 1)) 1)) (taylor 0 x) (#s(alt (/.f64 x (fma.f64 x x #s(literal -1 binary64))) (patch (/.f64 x (fma.f64 x x #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 x) (taylor inf x) (#s(alt (/.f64 x (fma.f64 x x #s(literal -1 binary64))) (patch (/.f64 x (fma.f64 x x #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 1 (/ 1 (pow x 2))) x) (taylor inf x) (#s(alt (/.f64 x (fma.f64 x x #s(literal -1 binary64))) (patch (/.f64 x (fma.f64 x x #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))) x) (taylor inf x) (#s(alt (/.f64 x (fma.f64 x x #s(literal -1 binary64))) (patch (/.f64 x (fma.f64 x x #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 1 (+ (/ 1 (pow x 2)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 6))))) x) (taylor inf x) (#s(alt (/.f64 x (fma.f64 x x #s(literal -1 binary64))) (patch (/.f64 x (fma.f64 x x #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 x) (taylor -inf x) (#s(alt (/.f64 x (fma.f64 x x #s(literal -1 binary64))) (patch (/.f64 x (fma.f64 x x #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 1 (/ 1 (pow x 2))) x) (taylor -inf x) (#s(alt (/.f64 x (fma.f64 x x #s(literal -1 binary64))) (patch (/.f64 x (fma.f64 x x #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 2))) 1) x)) (taylor -inf x) (#s(alt (/.f64 x (fma.f64 x x #s(literal -1 binary64))) (patch (/.f64 x (fma.f64 x x #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 4))) (+ 1 (/ 1 (pow x 2)))) x)) (taylor -inf x) (#s(alt (/.f64 x (fma.f64 x x #s(literal -1 binary64))) (patch (/.f64 x (fma.f64 x x #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt -1 (taylor 0 x) (#s(alt (fma.f64 x x #s(literal -1 binary64)) (patch (fma.f64 x x #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (pow x 2) 1) (taylor 0 x) (#s(alt (fma.f64 x x #s(literal -1 binary64)) (patch (fma.f64 x x #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (pow x 2) 1) (taylor 0 x) (#s(alt (fma.f64 x x #s(literal -1 binary64)) (patch (fma.f64 x x #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (pow x 2) 1) (taylor 0 x) (#s(alt (fma.f64 x x #s(literal -1 binary64)) (patch (fma.f64 x x #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor inf x) (#s(alt (fma.f64 x x #s(literal -1 binary64)) (patch (fma.f64 x x #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- 1 (/ 1 (pow x 2)))) (taylor inf x) (#s(alt (fma.f64 x x #s(literal -1 binary64)) (patch (fma.f64 x x #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- 1 (/ 1 (pow x 2)))) (taylor inf x) (#s(alt (fma.f64 x x #s(literal -1 binary64)) (patch (fma.f64 x x #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- 1 (/ 1 (pow x 2)))) (taylor inf x) (#s(alt (fma.f64 x x #s(literal -1 binary64)) (patch (fma.f64 x x #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor -inf x) (#s(alt (fma.f64 x x #s(literal -1 binary64)) (patch (fma.f64 x x #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- 1 (/ 1 (pow x 2)))) (taylor -inf x) (#s(alt (fma.f64 x x #s(literal -1 binary64)) (patch (fma.f64 x x #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- 1 (/ 1 (pow x 2)))) (taylor -inf x) (#s(alt (fma.f64 x x #s(literal -1 binary64)) (patch (fma.f64 x x #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- 1 (/ 1 (pow x 2)))) (taylor -inf x) (#s(alt (fma.f64 x x #s(literal -1 binary64)) (patch (fma.f64 x 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>) () ())) ()) |
#s(alt 1 (taylor 0 x) (#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 (+ 1 (* 3 x)) (taylor 0 x) (#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 (+ 1 (* x (+ 3 x))) (taylor 0 x) (#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 (+ 1 (* x (+ 3 (* x (+ 1 (* 3 x)))))) (taylor 0 x) (#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 (/ -3 x) (taylor inf x) (#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 (* -1 (/ (+ 3 (/ 1 x)) x)) (taylor inf x) (#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 (/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x) (taylor inf x) (#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 (/ (- (* -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 #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 (/ -3 x) (taylor -inf x) (#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 (* -1 (/ (+ 3 (/ 1 x)) x)) (taylor -inf x) (#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 (* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x)) (taylor -inf x) (#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 (* -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 #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 (/ -3 (pow x 3)) (taylor 0 x) (#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 (/ (- (* -1 x) 3) (pow x 3)) (taylor 0 x) (#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 (/ (- (* x (- (* -3 x) 1)) 3) (pow x 3)) (taylor 0 x) (#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 (/ (- (* x (- (* -3 x) 1)) 3) (pow x 3)) (taylor 0 x) (#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 (/ -3 x) (taylor inf x) (#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 (* -1 (/ (+ 3 (/ 1 x)) x)) (taylor inf x) (#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 (/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x) (taylor inf x) (#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 (/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x) (taylor inf x) (#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 (/ -3 x) (taylor -inf x) (#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>) () ())) ()) |
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#s(alt (* x (+ 1 (/ 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 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 (/.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>) () ())) ()) |
#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) (taylor inf 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 (/ (+ 1 (* 3 (/ 1 x))) x)) (taylor inf 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 (/ (+ 1 (* 3 (/ 1 x))) x)) (taylor inf 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 (/ (+ 1 (* 3 (/ 1 x))) x)) (taylor inf 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) (taylor -inf 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 (/ (+ 1 (* 3 (/ 1 x))) x)) (taylor -inf 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 (/ (+ 1 (* 3 (/ 1 x))) x)) (taylor -inf 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 (/ (+ 1 (* 3 (/ 1 x))) x)) (taylor -inf 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) (taylor 0 x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor 0 x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor 0 x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor 0 x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
72 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (+ (* x (+ x -1)) (* (+ x 1) (+ (neg x) -1))) |
| 0.0ms | x | @ | -inf | (/ (- -3 x) (* x x)) |
| 0.0ms | x | @ | inf | (+ (* x (+ x -1)) (* (+ x 1) (+ (neg x) -1))) |
| 0.0ms | x | @ | inf | (+ (* (/ x (+ (* x x) -1)) (+ x -1)) (/ (+ 1 x) (- 1 x))) |
| 0.0ms | x | @ | -inf | (+ (* x (+ x -1)) (* (+ x 1) (+ (neg x) -1))) |
| 1× | egg-herbie |
| 12 028× | lower-fma.f64 |
| 12 028× | lower-fma.f32 |
| 3 196× | lower-*.f64 |
| 3 196× | lower-*.f32 |
| 2 076× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 148 | 1917 |
| 1 | 395 | 1837 |
| 2 | 1017 | 1706 |
| 3 | 2844 | 1686 |
| 4 | 6804 | 1686 |
| 0 | 8060 | 1629 |
| 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)) |
(* -1 x) |
(* x (- (* -1 (pow x 2)) 1)) |
(* x (- (* (pow x 2) (- (* -1 (pow x 2)) 1)) 1)) |
(* x (- (* (pow x 2) (- (* (pow x 2) (- (* -1 (pow x 2)) 1)) 1)) 1)) |
(/ 1 x) |
(/ (+ 1 (/ 1 (pow x 2))) x) |
(/ (+ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))) x) |
(/ (+ 1 (+ (/ 1 (pow x 2)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 6))))) x) |
(/ 1 x) |
(/ (+ 1 (/ 1 (pow x 2))) x) |
(* -1 (/ (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 2))) 1) x)) |
(* -1 (/ (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 4))) (+ 1 (/ 1 (pow x 2)))) x)) |
-1 |
(- (pow x 2) 1) |
(- (pow x 2) 1) |
(- (pow x 2) 1) |
(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 |
(- 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))) |
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) |
(/ 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 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)) |
(/ -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 |
(- (* -3 x) 1) |
(- (* -3 x) 1) |
(- (* -3 x) 1) |
(* -3 x) |
(* -1 (* x (+ 3 (/ 1 x)))) |
(* -1 (* x (+ 3 (/ 1 x)))) |
(* -1 (* x (+ 3 (/ 1 x)))) |
(* -3 x) |
(* -1 (* x (+ 3 (/ 1 x)))) |
(* -1 (* x (+ 3 (/ 1 x)))) |
(* -1 (* x (+ 3 (/ 1 x)))) |
-1 |
(- (* -2 x) 1) |
(- (* x (- (* -1 x) 2)) 1) |
(- (* x (- (* -1 x) 2)) 1) |
(* -1 (pow x 2)) |
(* -1 (* (pow x 2) (+ 1 (* 2 (/ 1 x))))) |
(* (pow x 2) (- (* -1 (/ (+ 2 (/ 1 x)) x)) 1)) |
(* (pow x 2) (- (* -1 (/ (+ 2 (/ 1 x)) x)) 1)) |
(* -1 (pow x 2)) |
(* -1 (* (pow x 2) (+ 1 (* 2 (/ 1 x))))) |
(* (pow x 2) (- (* -1 (/ (+ 2 (/ 1 x)) x)) 1)) |
(* (pow x 2) (- (* -1 (/ (+ 2 (/ 1 x)) x)) 1)) |
-1 |
(- (* -1 x) 1) |
(- (* -1 x) 1) |
(- (* -1 x) 1) |
(* -1 x) |
(* -1 (* x (+ 1 (/ 1 x)))) |
(* -1 (* x (+ 1 (/ 1 x)))) |
(* -1 (* x (+ 1 (/ 1 x)))) |
(* -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)) |
1 |
(+ 1 (* 2 x)) |
(+ 1 (* x (+ 2 (* 2 x)))) |
(+ 1 (* x (+ 2 (* x (+ 2 (* 2 x)))))) |
-1 |
(* -1 (+ 1 (* 2 (/ 1 x)))) |
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1) |
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 1 (* 2 (/ 1 x)))) |
-1 |
(* -1 (+ 1 (* 2 (/ 1 x)))) |
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1) |
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 1) |
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 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)) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
| 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 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (/.f64 #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 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x)))) |
(* -1 x) |
(neg.f64 x) |
(* x (- (* -1 (pow x 2)) 1)) |
(neg.f64 (fma.f64 x (*.f64 x x) x)) |
(* x (- (* (pow x 2) (- (* -1 (pow x 2)) 1)) 1)) |
(*.f64 x (fma.f64 (*.f64 x x) (-.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal -1 binary64))) |
(* x (- (* (pow x 2) (- (* (pow x 2) (- (* -1 (pow x 2)) 1)) 1)) 1)) |
(*.f64 x (*.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) (*.f64 x x)))) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ (+ 1 (/ 1 (pow x 2))) x) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x) |
(/ (+ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))) x) |
(/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) x) |
(/ (+ 1 (+ (/ 1 (pow x 2)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 6))))) x) |
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(- (* -2 x) 1) |
(fma.f64 x #s(literal -2 binary64) #s(literal -1 binary64)) |
(- (* x (- (* -1 x) 2)) 1) |
(fma.f64 x (-.f64 #s(literal -2 binary64) x) #s(literal -1 binary64)) |
(- (* x (- (* -1 x) 2)) 1) |
(fma.f64 x (-.f64 #s(literal -2 binary64) x) #s(literal -1 binary64)) |
(* -1 (pow x 2)) |
(neg.f64 (*.f64 x x)) |
(* -1 (* (pow x 2) (+ 1 (* 2 (/ 1 x))))) |
(*.f64 x (-.f64 #s(literal -2 binary64) x)) |
(* (pow x 2) (- (* -1 (/ (+ 2 (/ 1 x)) x)) 1)) |
(fma.f64 x (neg.f64 x) (*.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -1 binary64) x)) x)) |
(* (pow x 2) (- (* -1 (/ (+ 2 (/ 1 x)) x)) 1)) |
(fma.f64 x (neg.f64 x) (*.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -1 binary64) x)) x)) |
(* -1 (pow x 2)) |
(neg.f64 (*.f64 x x)) |
(* -1 (* (pow x 2) (+ 1 (* 2 (/ 1 x))))) |
(*.f64 x (-.f64 #s(literal -2 binary64) x)) |
(* (pow x 2) (- (* -1 (/ (+ 2 (/ 1 x)) x)) 1)) |
(fma.f64 x (neg.f64 x) (*.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -1 binary64) x)) x)) |
(* (pow x 2) (- (* -1 (/ (+ 2 (/ 1 x)) x)) 1)) |
(fma.f64 x (neg.f64 x) (*.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -1 binary64) x)) x)) |
-1 |
#s(literal -1 binary64) |
(- (* -1 x) 1) |
(-.f64 #s(literal -1 binary64) x) |
(- (* -1 x) 1) |
(-.f64 #s(literal -1 binary64) 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 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 #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 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (/.f64 #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 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x)))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 2 x)) |
(fma.f64 x #s(literal 2 binary64) #s(literal 1 binary64)) |
(+ 1 (* x (+ 2 (* 2 x)))) |
(fma.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(+ 1 (* x (+ 2 (* x (+ 2 (* 2 x)))))) |
(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 (+ 1 (* 2 (/ 1 x)))) |
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x)) |
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1) |
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) x)) x)) |
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 1 (* 2 (/ 1 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) |
(* -1 (+ 1 (* 2 (/ 1 x)))) |
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x)) |
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1) |
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) x)) x)) |
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 1) |
(-.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 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 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)) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
| 3 158× | lower-/.f32 |
| 3 142× | lower-/.f64 |
| 2 486× | lower-fma.f32 |
| 2 480× | lower-fma.f64 |
| 2 032× | lower-*.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 41 | 270 |
| 0 | 66 | 264 |
| 1 | 346 | 250 |
| 2 | 3776 | 248 |
| 0 | 9448 | 248 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (/.f64 x (fma.f64 x x #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) |
(/.f64 x (fma.f64 x x #s(literal -1 binary64))) |
(fma.f64 x x #s(literal -1 binary64)) |
(+.f64 x #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)) |
(*.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 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) #s(approx (/ (+ -1 (/ -3 x)) x) (/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x)))) x)) |
(/.f64 (+.f64 #s(literal -3 binary64) #s(approx (/ (+ -1 (/ -3 x)) x) (/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x)))) x) |
(+.f64 #s(literal -3 binary64) #s(approx (/ (+ -1 (/ -3 x)) x) (/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x)))) |
#s(approx (/ (+ -1 (/ -3 x)) x) (/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x))) |
(fma.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 x #s(literal 1 binary64)) (+.f64 (neg.f64 x) #s(literal -1 binary64))) |
(+.f64 (neg.f64 x) #s(literal -1 binary64)) |
(/.f64 (fma.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 x #s(literal -1 binary64))) |
(/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) |
(+.f64 #s(literal 1 binary64) x) |
(/.f64 #s(literal -1 binary64) x) |
(/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x)) |
(neg.f64 x) |
| Outputs |
|---|
(+.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.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 x (/.f64 x (fma.f64 x x #s(literal -1 binary64)))) (+.f64 (/.f64 x (fma.f64 x x #s(literal -1 binary64))) (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))))) |
(+.f64 (*.f64 x (/.f64 x (fma.f64 x x #s(literal -1 binary64)))) (-.f64 (/.f64 x (fma.f64 x 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 x (/.f64 x (fma.f64 x x #s(literal -1 binary64))))) (/.f64 x (fma.f64 x x #s(literal -1 binary64)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (+.f64 x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))))) #s(literal -1 binary64))) |
(-.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.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 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) (fma.f64 x (/.f64 x (fma.f64 x x #s(literal -1 binary64))) (/.f64 (fma.f64 x (+.f64 x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (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 (/.f64 x (fma.f64 x x #s(literal -1 binary64))) (/.f64 (fma.f64 x (+.f64 x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64)))))) |
(-.f64 (/.f64 (*.f64 x (/.f64 x (fma.f64 x x #s(literal -1 binary64)))) (/.f64 (fma.f64 x (+.f64 x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64)))) (/.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))) (/.f64 (fma.f64 x (+.f64 x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x 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 x #s(literal -1 binary64)))) |
(fma.f64 x (/.f64 x (fma.f64 x x #s(literal -1 binary64))) (+.f64 (/.f64 x (fma.f64 x x #s(literal -1 binary64))) (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))))) |
(fma.f64 x (/.f64 x (fma.f64 x x #s(literal -1 binary64))) (-.f64 (/.f64 x (fma.f64 x x #s(literal -1 binary64))) (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))))) |
(fma.f64 x (*.f64 (/.f64 #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 #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) |
(fma.f64 x (/.f64 (+.f64 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)))) |
(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)))) |
(fma.f64 #s(literal -1 binary64) (/.f64 x (+.f64 x #s(literal -1 binary64))) (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) |
(fma.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 (/.f64 x (fma.f64 x x #s(literal -1 binary64))) (/.f64 x (fma.f64 x x #s(literal -1 binary64)))) (+.f64 (/.f64 x (fma.f64 x x #s(literal -1 binary64))) (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))))) |
(fma.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 (/.f64 x (fma.f64 x x #s(literal -1 binary64))) (/.f64 x (fma.f64 x x #s(literal -1 binary64)))) (-.f64 (/.f64 x (fma.f64 x x #s(literal -1 binary64))) (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))))) |
(fma.f64 (fma.f64 x x #s(literal -1 binary64)) (pow.f64 (neg.f64 (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal -1 binary64)))) #s(literal 2 binary64)) (/.f64 x (+.f64 x #s(literal -1 binary64)))) |
(fma.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64))) (/.f64 x (+.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)))) |
(fma.f64 #s(literal 1 binary64) (/.f64 x (+.f64 x #s(literal -1 binary64))) (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) |
(fma.f64 #s(literal 1 binary64) (*.f64 x (/.f64 x (fma.f64 x x #s(literal -1 binary64)))) (+.f64 (/.f64 x (fma.f64 x x #s(literal -1 binary64))) (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))))) |
(fma.f64 #s(literal 1 binary64) (*.f64 x (/.f64 x (fma.f64 x x #s(literal -1 binary64)))) (-.f64 (/.f64 x (fma.f64 x 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 #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))) (/.f64 x (+.f64 x #s(literal -1 binary64)))) |
(fma.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))) (/.f64 x (+.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 x (/.f64 x (fma.f64 x x #s(literal -1 binary64)))) (+.f64 (/.f64 x (fma.f64 x 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 x (/.f64 x (fma.f64 x x #s(literal -1 binary64)))) (-.f64 (/.f64 x (fma.f64 x x #s(literal -1 binary64))) (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))))) |
(fma.f64 (+.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 (+.f64 x #s(literal -1 binary64)) (/.f64 x (fma.f64 x x #s(literal -1 binary64))) (/.f64 (+.f64 x #s(literal -1 binary64)) (+.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 #s(literal -1 binary64)) (*.f64 (/.f64 x (fma.f64 x x #s(literal -1 binary64))) (/.f64 x (+.f64 x #s(literal -1 binary64)))) (+.f64 (/.f64 x (fma.f64 x x #s(literal -1 binary64))) (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))))) |
(fma.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 (/.f64 x (fma.f64 x x #s(literal -1 binary64))) (/.f64 x (+.f64 x #s(literal -1 binary64)))) (-.f64 (/.f64 x (fma.f64 x x #s(literal -1 binary64))) (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))))) |
(fma.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 (/.f64 #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 (+.f64 x #s(literal -1 binary64)))) |
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(fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) |
(fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) x #s(literal -1 binary64)) |
(fma.f64 #s(literal 1 binary64) x #s(literal 1 binary64)) |
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(+.f64 (neg.f64 x) #s(literal -1 binary64)) |
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(-.f64 x #s(literal -1 binary64)) |
(-.f64 x #s(literal 1 binary64)) |
(-.f64 #s(literal -1 binary64) x) |
(-.f64 #s(literal 1 binary64) x) |
(-.f64 #s(literal 1 binary64) (neg.f64 x)) |
(-.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 x))) |
(-.f64 (neg.f64 x) #s(literal -1 binary64)) |
(-.f64 #s(literal 0 binary64) (+.f64 x #s(literal -1 binary64))) |
(-.f64 (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal -1 binary64))) (/.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64)))) |
(-.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal -1 binary64)))) |
(-.f64 (/.f64 (*.f64 x (*.f64 x x)) (+.f64 (fma.f64 x x #s(literal 1 binary64)) x)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x x #s(literal 1 binary64)) x))) |
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) (/.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1 binary64) (fma.f64 x x x)))) |
(expm1.f64 (*.f64 (log.f64 x) #s(literal 1 binary64))) |
(expm1.f64 (neg.f64 (*.f64 (log.f64 x) #s(literal -1 binary64)))) |
(fma.f64 x #s(literal -1 binary64) #s(literal -1 binary64)) |
(fma.f64 x #s(literal -1 binary64) #s(literal 1 binary64)) |
(fma.f64 x #s(literal 1 binary64) #s(literal -1 binary64)) |
(fma.f64 x #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) |
(fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) x #s(literal -1 binary64)) |
(fma.f64 #s(literal 1 binary64) x #s(literal 1 binary64)) |
(neg.f64 (+.f64 x #s(literal -1 binary64))) |
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(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))))) |
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))) |
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(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fma.f64 x x #s(literal 1 binary64)) x) (fma.f64 x (*.f64 x x) #s(literal -1 binary64)))) |
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(pow.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) #s(literal -1 binary64)) |
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(exp.f64 (*.f64 (log.f64 (neg.f64 x)) #s(literal -1 binary64))) |
(neg.f64 (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal -1 binary64) x) |
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(-.f64 (/.f64 #s(literal -3 binary64) (*.f64 x x)) (/.f64 x (*.f64 x x))) |
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(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 9 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) (neg.f64 (+.f64 x #s(literal -3 binary64)))) |
(pow.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal -3 binary64) x)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal -3 binary64) x)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 x (/.f64 (-.f64 #s(literal -3 binary64) x) x)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x))) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal -3 binary64) x) x)) |
(*.f64 (-.f64 #s(literal -3 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(*.f64 (neg.f64 (-.f64 #s(literal -3 binary64) x)) (/.f64 #s(literal -1 binary64) (*.f64 x x))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal -3 binary64) x)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -3 binary64) x)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (-.f64 #s(literal -3 binary64) x) x) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (pow.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal -27 binary64) (*.f64 x (*.f64 x x)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -3 binary64)) #s(literal 9 binary64)))) |
(*.f64 (pow.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal 9 binary64) (*.f64 x x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -3 binary64)))) |
(+.f64 #s(literal 0 binary64) (neg.f64 x)) |
(-.f64 #s(literal 0 binary64) x) |
(neg.f64 x) |
(/.f64 x #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) |
(/.f64 (*.f64 x x) (neg.f64 (+.f64 #s(literal 0 binary64) x))) |
(/.f64 (neg.f64 x) #s(literal 1 binary64)) |
(/.f64 (*.f64 x (neg.f64 x)) (+.f64 #s(literal 0 binary64) x)) |
(/.f64 (neg.f64 (neg.f64 x)) #s(literal -1 binary64)) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x)))) (neg.f64 (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x))))) |
(pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) |
(pow.f64 (neg.f64 x) #s(literal 1 binary64)) |
(*.f64 x #s(literal -1 binary64)) |
(*.f64 #s(literal -1 binary64) x) |
Compiled 49 479 to 3 725 computations (92.5% saved)
11 alts after pruning (4 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2 023 | 3 | 2 026 |
| Fresh | 5 | 1 | 6 |
| Picked | 4 | 1 | 5 |
| Done | 3 | 6 | 9 |
| Total | 2 035 | 11 | 2 046 |
| Status | Accuracy | Program |
|---|---|---|
| 82.8% | (/.f64 #s(approx (+ (* x (+ x -1)) (* (+ x 1) (+ (neg x) -1))) (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64))) | |
| ✓ | 59.2% | (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) |
| 27.6% | #s(approx (/ (+ (* x (+ x -1)) (* (+ x 1) (+ (neg x) -1))) (+ (* x x) -1)) (/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x x))) | |
| ✓ | 55.4% | #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 1 binary64))) |
| ✓ | 54.9% | #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 x #s(approx (+ 3 x) #s(literal 3 binary64)) #s(literal 1 binary64))) |
| ✓ | 55.4% | #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 x #s(literal 3 binary64) (fma.f64 x x #s(literal 1 binary64)))) |
| 27.0% | #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x))) (fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 1 binary64)) #s(literal -3 binary64)) x)) | |
| ✓ | 45.6% | #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(approx (+ -3 (/ (+ -1 (/ -3 x)) x)) #s(literal -3 binary64)) x)) |
| ✓ | 55.0% | #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)))) |
| 45.4% | #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)))) | |
| ✓ | 55.3% | #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) #s(literal 1 binary64)) |
Compiled 507 to 145 computations (71.4% 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 #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))) (fma.f64 x #s(literal 3 binary64) (fma.f64 x x #s(literal 1 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)))) |
#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) (+ (neg x) -1))) (+ (* x x) -1)) (/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x x))) |
(/.f64 #s(approx (+ (* x (+ x -1)) (* (+ x 1) (+ (neg x) -1))) (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 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 (/.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 #s(approx (+ (* x (+ (* x -3) -1)) -3) (*.f64 x (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)))) (*.f64 x (*.f64 x x)))) |
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (+.f64 #s(literal -3 binary64) #s(approx (/ (+ -1 (/ -3 x)) x) (/.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)))) |
(fma.f64 #s(approx (/ 1 (+ x 1)) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))) x (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) x (/.f64 (+.f64 x #s(literal 1 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 -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)) x)) |
(/.f64 (fma.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 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 x (fma.f64 x x #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) |
(fma.f64 (/.f64 x (fma.f64 x 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)))) |
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x (*.f64 x x))) (+.f64 x (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x))) (fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 1 binary64)) #s(literal -3 binary64)) 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)) |
(/.f64 (-.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 x (+.f64 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 x #s(literal 1 binary64))) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))))) (*.f64 (+.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 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 #s(approx (+ (* x (+ x -1)) (* (+ x 1) (+ (neg x) -1))) (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64))) |
2 calls:
| 8.0ms | x |
| 7.0ms | (-.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 |
| 99.7% | 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 #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))) (fma.f64 x #s(literal 3 binary64) (fma.f64 x x #s(literal 1 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)))) |
#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) (+ (neg x) -1))) (+ (* x x) -1)) (/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x x))) |
(/.f64 #s(approx (+ (* x (+ x -1)) (* (+ x 1) (+ (neg x) -1))) (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 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 (/.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 #s(approx (+ (* x (+ (* x -3) -1)) -3) (*.f64 x (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)))) (*.f64 x (*.f64 x x)))) |
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (+.f64 #s(literal -3 binary64) #s(approx (/ (+ -1 (/ -3 x)) x) (/.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)))) |
(fma.f64 #s(approx (/ 1 (+ x 1)) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))) x (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) x (/.f64 (+.f64 x #s(literal 1 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 -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)) x)) |
(/.f64 (fma.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 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 x (fma.f64 x x #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) |
(fma.f64 (/.f64 x (fma.f64 x 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)))) |
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x (*.f64 x x))) (+.f64 x (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x))) (fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 1 binary64)) #s(literal -3 binary64)) x)) |
| Outputs |
|---|
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (+.f64 #s(literal -3 binary64) #s(approx (/ (+ -1 (/ -3 x)) x) (/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x)))) x)) |
(/.f64 #s(approx (+ (* x (+ x -1)) (* (+ x 1) (+ (neg x) -1))) (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64))) |
1 calls:
| 38.0ms | (-.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 #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))) (fma.f64 x #s(literal 3 binary64) (fma.f64 x x #s(literal 1 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)))) |
#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) (+ (neg x) -1))) (+ (* x x) -1)) (/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x x))) |
(/.f64 #s(approx (+ (* x (+ x -1)) (* (+ x 1) (+ (neg x) -1))) (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 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 (/.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 #s(approx (+ (* x (+ (* x -3) -1)) -3) (*.f64 x (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)))) (*.f64 x (*.f64 x x)))) |
| Outputs |
|---|
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x)) |
(/.f64 #s(approx (+ (* x (+ x -1)) (* (+ x 1) (+ (neg x) -1))) (fma.f64 x #s(literal -3 binary64) #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 |
|---|---|---|
| 99.3% | 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 #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))) (fma.f64 x #s(literal 3 binary64) (fma.f64 x x #s(literal 1 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)))) |
#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) (+ (neg x) -1))) (+ (* x x) -1)) (/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x x))) |
(/.f64 #s(approx (+ (* x (+ x -1)) (* (+ x 1) (+ (neg x) -1))) (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64))) |
| Outputs |
|---|
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal -3 binary64) x)) |
(/.f64 #s(approx (+ (* x (+ x -1)) (* (+ x 1) (+ (neg x) -1))) (fma.f64 x #s(literal -3 binary64) #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 |
|---|---|---|
| 99.1% | 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 #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))) (fma.f64 x #s(literal 3 binary64) (fma.f64 x x #s(literal 1 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)))) |
#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) (+ (neg x) -1))) (+ (* x 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)))) |
2 calls:
| 4.0ms | x |
| 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 |
|---|---|---|
| 98.3% | 3 | x |
| 98.3% | 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 #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))) (fma.f64 x #s(literal 3 binary64) (fma.f64 x x #s(literal 1 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)))) |
| 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))) |
1 calls:
| 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 |
|---|---|---|
| 98.1% | 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))) |
| Outputs |
|---|
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 x (+.f64 #s(literal 3 binary64) x) #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 |
|---|---|---|
| 55.4% | 1 | x |
| 55.4% | 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)
Total -0.6b remaining (-2.2%)
Threshold costs -0.6b (-2.2%)
| 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))) |
| Outputs |
|---|
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) #s(literal 1 binary64)) |
2 calls:
| 2.0ms | x |
| 1.0ms | (-.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 |
|---|---|---|
| 55.3% | 1 | (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) |
| 55.3% | 1 | x |
Compiled 16 to 8 computations (50% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.00023029330797397218 | 0.00025441823316518786 |
Compiled 17 to 11 computations (35.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 2.183898056729028e-6 |
Compiled 17 to 11 computations (35.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 2.183898056729028e-6 |
Compiled 17 to 11 computations (35.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 2.183898056729028e-6 |
Compiled 17 to 11 computations (35.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.00025441823316518786 | 0.9892957434603711 |
Compiled 17 to 11 computations (35.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.00025441823316518786 | 0.9892957434603711 |
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 | 68 | 404 |
| 1 | 84 | 404 |
| 2 | 97 | 404 |
| 3 | 117 | 404 |
| 4 | 128 | 404 |
| 5 | 131 | 404 |
| 6 | 132 | 404 |
| 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 1152921504606847/4611686018427387904 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 #s(approx (+ (* x (+ x -1)) (* (+ x 1) (+ (neg x) -1))) (fma.f64 x #s(literal -3 binary64) #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 0 binary64)) #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (+.f64 #s(literal -3 binary64) #s(approx (/ (+ -1 (/ -3 x)) x) (/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x)))) x)) (/.f64 #s(approx (+ (* x (+ x -1)) (* (+ x 1) (+ (neg x) -1))) (fma.f64 x #s(literal -3 binary64) #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 0 binary64)) #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x)) (/.f64 #s(approx (+ (* x (+ x -1)) (* (+ x 1) (+ (neg x) -1))) (fma.f64 x #s(literal -3 binary64) #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 0 binary64)) #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal -3 binary64) x)) (/.f64 #s(approx (+ (* x (+ x -1)) (* (+ x 1) (+ (neg x) -1))) (fma.f64 x #s(literal -3 binary64) #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 1152921504606847/2305843009213693952 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 1152921504606847/2305843009213693952 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))) (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 1152921504606847/4611686018427387904 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 #s(approx (+ (* x (+ x -1)) (* (+ x 1) (+ (neg x) -1))) (fma.f64 x #s(literal -3 binary64) #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 1152921504606847/4611686018427387904 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 #s(approx (+ (* x (+ x -1)) (* (+ x 1) (+ (neg x) -1))) (fma.f64 x #s(literal -3 binary64) #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 0 binary64)) #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (+.f64 #s(literal -3 binary64) #s(approx (/ (+ -1 (/ -3 x)) x) (/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x)))) x)) (/.f64 #s(approx (+ (* x (+ x -1)) (* (+ x 1) (+ (neg x) -1))) (fma.f64 x #s(literal -3 binary64) #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 0 binary64)) #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (+.f64 #s(literal -3 binary64) #s(approx (/ (+ -1 (/ -3 x)) x) (/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x)))) x)) (/.f64 #s(approx (+ (* x (+ x -1)) (* (+ x 1) (+ (neg x) -1))) (fma.f64 x #s(literal -3 binary64) #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 0 binary64)) #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x)) (/.f64 #s(approx (+ (* x (+ x -1)) (* (+ x 1) (+ (neg x) -1))) (fma.f64 x #s(literal -3 binary64) #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 0 binary64)) #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x)) (/.f64 #s(approx (+ (* x (+ x -1)) (* (+ x 1) (+ (neg x) -1))) (fma.f64 x #s(literal -3 binary64) #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 0 binary64)) #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal -3 binary64) x)) (/.f64 #s(approx (+ (* x (+ x -1)) (* (+ x 1) (+ (neg x) -1))) (fma.f64 x #s(literal -3 binary64) #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 0 binary64)) #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal -3 binary64) x)) (/.f64 #s(approx (+ (* x (+ x -1)) (* (+ x 1) (+ (neg x) -1))) (fma.f64 x #s(literal -3 binary64) #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 1152921504606847/2305843009213693952 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 1152921504606847/2305843009213693952 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 1152921504606847/2305843009213693952 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 1152921504606847/2305843009213693952 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))) (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))) |
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) #s(literal 1 binary64)) |
| 16 740× | lower-fma.f64 |
| 16 740× | lower-fma.f32 |
| 12 028× | lower-fma.f64 |
| 12 028× | lower-fma.f32 |
| 10 526× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 148 | 1917 |
| 1 | 395 | 1837 |
| 2 | 1017 | 1706 |
| 3 | 2844 | 1686 |
| 4 | 6804 | 1686 |
| 0 | 8060 | 1629 |
| 0 | 136 | 1448 |
| 1 | 412 | 1371 |
| 2 | 1098 | 1316 |
| 3 | 3910 | 1286 |
| 0 | 8962 | 1219 |
| 0 | 99 | 362 |
| 1 | 272 | 352 |
| 2 | 618 | 340 |
| 3 | 1569 | 322 |
| 4 | 4393 | 320 |
| 0 | 8115 | 309 |
| 0 | 7 | 31 |
| 0 | 12 | 31 |
| 1 | 67 | 31 |
| 2 | 704 | 31 |
| 0 | 8085 | 31 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 356 to 133 computations (62.6% saved)
Compiled 452 to 106 computations (76.5% saved)
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