
Time bar (total: 6.1s)
| 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 13 to 9 computations (30.8% saved)
| 493.0ms | 3 826× | 1 | valid |
| 224.0ms | 4 430× | 0 | valid |
ival-div: 207.0ms (40.3% of total)ival-sub: 132.0ms (25.7% of total)adjust: 94.0ms (18.3% of total)ival-add: 68.0ms (13.2% of total)ival-true: 6.0ms (1.2% of total)exact: 5.0ms (1% of total)ival-assert: 3.0ms (0.6% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 53 | 0 | - | 0 | - | (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) |
| 0 | 0 | - | 0 | - | (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) |
| 0 | 0 | - | 0 | - | (+.f64 x #s(literal 1 binary64)) |
| 0 | 0 | - | 0 | - | (/.f64 #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 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
-.f64 | (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) | cancellation | 53 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 53 | 0 |
| - | 0 | 203 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 53 | 0 | 0 |
| - | 0 | 0 | 203 |
| number | freq |
|---|---|
| 0 | 203 |
| 1 | 53 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 75.0ms | 238× | 1 | valid |
| 14.0ms | 274× | 0 | valid |
Compiled 74 to 25 computations (66.2% saved)
ival-div: 59.0ms (78.8% of total)ival-sub: 7.0ms (9.3% of total)adjust: 5.0ms (6.7% of total)ival-add: 4.0ms (5.3% 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 |
| 160× | lower-fma.f64 |
| 160× | lower-fma.f32 |
| 96× | lower-*.f64 |
| 96× | lower-*.f32 |
| 72× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 27 |
| 1 | 21 | 25 |
| 2 | 52 | 22 |
| 3 | 106 | 22 |
| 4 | 190 | 22 |
| 5 | 258 | 22 |
| 6 | 273 | 22 |
| 7 | 275 | 22 |
| 0 | 7 | 11 |
| 0 | 12 | 11 |
| 1 | 20 | 11 |
| 2 | 27 | 11 |
| 3 | 40 | 11 |
| 4 | 61 | 11 |
| 5 | 86 | 11 |
| 6 | 131 | 11 |
| 7 | 174 | 11 |
| 8 | 243 | 11 |
| 9 | 280 | 11 |
| 10 | 300 | 11 |
| 11 | 300 | 11 |
| 0 | 300 | 11 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) |
| Outputs |
|---|
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) |
(-.f64 (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal -1 binary64)))) |
(abs x)
Compiled 12 to 7 computations (41.7% saved)
Compiled 1 to 1 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 81.8% | (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) |
Compiled 12 to 7 computations (41.7% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) (-.f64 x #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 | 0 | (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) |
| 160× | lower-fma.f64 |
| 160× | lower-fma.f32 |
| 96× | lower-*.f64 |
| 96× | lower-*.f32 |
| 72× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 29 |
| 0 | 12 | 29 |
| 1 | 20 | 29 |
| 2 | 27 | 29 |
| 3 | 40 | 29 |
| 4 | 61 | 29 |
| 5 | 86 | 29 |
| 6 | 131 | 29 |
| 7 | 174 | 29 |
| 8 | 243 | 29 |
| 9 | 280 | 29 |
| 10 | 300 | 29 |
| 11 | 300 | 29 |
| 0 | 300 | 29 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.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 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) |
(-.f64 x #s(literal 1 binary64)) |
| Outputs |
|---|
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) |
(-.f64 (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (+.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)) |
(-.f64 x #s(literal -1 binary64)) |
x |
(/.f64 #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 | 0.00390625 | (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) | |
| accuracy | 0.00390625 | (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) | |
| accuracy | 11.678100487648788 | (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) |
| 87.0ms | 119× | 1 | valid |
| 7.0ms | 137× | 0 | valid |
Compiled 31 to 9 computations (71% saved)
ival-div: 5.0ms (39% of total)ival-sub: 3.0ms (23.4% of total)adjust: 2.0ms (15.6% of total)ival-add: 2.0ms (15.6% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) (patch (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.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 (/.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>) () ()) |
| Outputs |
|---|
#s(alt 2 (taylor 0 x) (#s(alt (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) (patch (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ 2 (* 2 (pow x 2))) (taylor 0 x) (#s(alt (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) (patch (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))) (taylor 0 x) (#s(alt (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) (patch (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))))) (taylor 0 x) (#s(alt (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) (patch (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) #<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 (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 -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) 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 (- (* x (- (* -1 x) 1)) 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 (- (* x (- (* x (- (* -1 x) 1)) 1)) 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 (/ -2 (pow x 2)) (taylor inf x) (#s(alt (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) (patch (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) (taylor inf x) (#s(alt (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) (patch (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2)) (taylor inf x) (#s(alt (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) (patch (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2)) (taylor inf x) (#s(alt (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) (patch (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.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 x (taylor inf x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ 1 x))) (taylor inf x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ 1 x))) (taylor inf x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ 1 x))) (taylor inf x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 x) (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 x) (/ 1 (pow x 2)))) 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 (pow x 2)) (/ 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 (/ -2 (pow x 2)) (taylor -inf x) (#s(alt (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) (patch (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) (taylor -inf x) (#s(alt (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) (patch (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2)) (taylor -inf x) (#s(alt (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) (patch (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2)) (taylor -inf x) (#s(alt (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) (patch (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.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 x (taylor -inf x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 x) (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 (/ (+ 1 (/ 1 x)) 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 (pow x 2)))) 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>) () ())) ()) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | ((- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/ 1 (+ x 1)) (+ x 1) (/ 1 (- x 1))) |
| 0.0ms | x | @ | 0 | ((- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/ 1 (+ x 1)) (+ x 1) (/ 1 (- x 1))) |
| 0.0ms | x | @ | -inf | ((- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/ 1 (+ x 1)) (+ x 1) (/ 1 (- x 1))) |
| 1× | egg-herbie |
| 10 646× | lower-fma.f64 |
| 10 646× | lower-fma.f32 |
| 3 680× | lower-*.f64 |
| 3 680× | lower-*.f32 |
| 1 938× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 80 | 405 |
| 1 | 220 | 395 |
| 2 | 557 | 373 |
| 3 | 1750 | 352 |
| 4 | 5230 | 352 |
| 0 | 8132 | 343 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
2 |
(+ 2 (* 2 (pow x 2))) |
(+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))) |
(+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))))) |
1 |
(+ 1 (* -1 x)) |
(+ 1 (* x (- x 1))) |
(+ 1 (* x (- (* x (+ 1 (* -1 x))) 1))) |
1 |
(+ 1 x) |
(+ 1 x) |
(+ 1 x) |
-1 |
(- (* -1 x) 1) |
(- (* x (- (* -1 x) 1)) 1) |
(- (* x (- (* x (- (* -1 x) 1)) 1)) 1) |
(/ -2 (pow x 2)) |
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) |
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2)) |
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2)) |
(/ 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) |
x |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(/ 1 x) |
(/ (+ 1 (/ 1 x)) x) |
(/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x) |
(/ (+ 1 (+ (/ 1 x) (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))))) x) |
(/ -2 (pow x 2)) |
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) |
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2)) |
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2)) |
(/ 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)) |
x |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(/ 1 x) |
(/ (+ 1 (/ 1 x)) x) |
(* -1 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x)) |
(* -1 (/ (- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1) x)) |
| Outputs |
|---|
2 |
#s(literal 2 binary64) |
(+ 2 (* 2 (pow x 2))) |
(fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)) |
(+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))) |
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 x x) #s(literal 2 binary64)) |
(+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))))) |
(*.f64 (fma.f64 (*.f64 (*.f64 x x) x) x #s(literal 1 binary64)) (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
(+ 1 (* x (- x 1))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) |
(+ 1 (* x (- (* x (+ 1 (* -1 x))) 1))) |
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) |
1 |
#s(literal 1 binary64) |
(+ 1 x) |
(-.f64 x #s(literal -1 binary64)) |
(+ 1 x) |
(-.f64 x #s(literal -1 binary64)) |
(+ 1 x) |
(-.f64 x #s(literal -1 binary64)) |
-1 |
#s(literal -1 binary64) |
(- (* -1 x) 1) |
(-.f64 #s(literal -1 binary64) x) |
(- (* x (- (* -1 x) 1)) 1) |
(fma.f64 (-.f64 #s(literal -1 binary64) x) x #s(literal -1 binary64)) |
(- (* x (- (* x (- (* -1 x) 1)) 1)) 1) |
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x)) |
(/ -2 (pow x 2)) |
(/.f64 #s(literal -2 binary64) (*.f64 x x)) |
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) |
(/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x x)) |
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2)) |
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 x x)) |
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2)) |
(*.f64 (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x x)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal -2 binary64))) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ (- 1 (/ 1 x)) x) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x) |
(/ (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) x) |
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x) #s(literal -1 binary64)) x) |
(/ (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))) x) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x 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)) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ (+ 1 (/ 1 x)) x) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x) |
(/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x) |
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x) #s(literal -1 binary64)) x) |
(/ (+ 1 (+ (/ 1 x) (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))))) x) |
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)))) x) |
(/ -2 (pow x 2)) |
(/.f64 #s(literal -2 binary64) (*.f64 x x)) |
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) |
(/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x x)) |
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2)) |
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 x x)) |
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2)) |
(*.f64 (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x x)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal -2 binary64))) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(* -1 (/ (- (/ 1 x) 1) x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x) |
(* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) |
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x) #s(literal -1 binary64)) x) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) x)) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x 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)) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ (+ 1 (/ 1 x)) x) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x) |
(* -1 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x)) |
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x) #s(literal -1 binary64)) x) |
(* -1 (/ (- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1) x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x)) x)) x) |
| 10 498× | lower-fma.f64 |
| 10 498× | lower-fma.f32 |
| 3 964× | lower-*.f64 |
| 3 964× | lower-*.f32 |
| 3 924× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 24 |
| 0 | 12 | 24 |
| 1 | 66 | 24 |
| 2 | 644 | 24 |
| 0 | 9039 | 22 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) |
(+.f64 x #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) |
| Outputs |
|---|
(*.f64 (/.f64 (-.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) (neg.f64 (fma.f64 (*.f64 x x) x #s(literal -1 binary64)))) (neg.f64 (fma.f64 (-.f64 x #s(literal -1 binary64)) x #s(literal 1 binary64)))) |
(*.f64 (/.f64 (-.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) (neg.f64 (fma.f64 x x #s(literal -1 binary64)))) (-.f64 #s(literal -1 binary64) x)) |
(*.f64 (/.f64 (-.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) |
(*.f64 (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 x #s(literal -1 binary64)))) (/.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) (-.f64 x #s(literal -1 binary64))))) (fma.f64 x x #s(literal -1 binary64))) |
(*.f64 (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 x #s(literal -1 binary64)))) (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64))))) (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x)) (-.f64 #s(literal -1 binary64) x))) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x))))) (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 x #s(literal -1 binary64)))) (/.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))))) |
(*.f64 (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 x #s(literal -1 binary64)))) (/.f64 #s(literal -1 binary64) (*.f64 (-.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))) (neg.f64 (fma.f64 x x #s(literal -1 binary64)))) |
(*.f64 (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x)) (-.f64 #s(literal -1 binary64) x))) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x)))) (-.f64 (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 (-.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))) (*.f64 (/.f64 (+.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))) (*.f64 (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 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))))))) (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 x #s(literal -1 binary64)))) (/.f64 (+.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))))) |
(*.f64 (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x)) (-.f64 #s(literal -1 binary64) x))) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x)))) (+.f64 (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (-.f64 #s(literal -1 binary64) x) (-.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 #s(literal -1 binary64)))) (*.f64 (*.f64 (/.f64 (+.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))) (*.f64 (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 (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 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))))))) (+.f64 (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 (-.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))) (*.f64 (/.f64 (+.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))) (*.f64 (fma.f64 x 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 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 x #s(literal -1 binary64)))))))) |
(*.f64 (/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) (-.f64 x #s(literal 1 binary64))) |
(*.f64 (/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) |
(*.f64 (/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64)))) (-.f64 x #s(literal -1 binary64))) |
(*.f64 (/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (*.f64 (-.f64 x #s(literal -1 binary64)) (fma.f64 (*.f64 x x) x #s(literal -1 binary64)))) (fma.f64 (-.f64 x #s(literal -1 binary64)) x #s(literal 1 binary64))) |
(*.f64 (/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1 binary64))) (fma.f64 x x #s(literal 1 binary64))) |
(*.f64 (/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) (fma.f64 x x #s(literal -1 binary64))) |
(*.f64 (/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 (*.f64 x x) x #s(literal -1 binary64)))) (*.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 (-.f64 x #s(literal -1 binary64)) x #s(literal 1 binary64)))) |
(*.f64 (/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 x 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 x #s(literal -1 binary64)))) |
(*.f64 (/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x) #s(literal -1 binary64))) (fma.f64 (*.f64 x x) (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(*.f64 (/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x) #s(literal -1 binary64))) (*.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (fma.f64 (-.f64 x #s(literal -1 binary64)) x #s(literal 1 binary64)))) |
(*.f64 (/.f64 (-.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (-.f64 x #s(literal -1 binary64))) |
(*.f64 (/.f64 (-.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) x #s(literal -1 binary64))) (fma.f64 (-.f64 x #s(literal -1 binary64)) x #s(literal 1 binary64))) |
(*.f64 (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 x #s(literal -1 binary64)))) (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64))))) (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 x #s(literal -1 binary64)))) (/.f64 #s(literal -1 binary64) (*.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))) (fma.f64 x x #s(literal -1 binary64)))) |
(*.f64 (*.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64)))) |
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(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x x) x #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 x #s(literal -1 binary64)) x #s(literal 1 binary64)))) (*.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x x) x #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 x #s(literal -1 binary64)) x #s(literal 1 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) x)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 (*.f64 x x) x #s(literal 1 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) (*.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 (*.f64 x x) x #s(literal 1 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) x)) |
(fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (fma.f64 x x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64)) (*.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))))) |
(fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (fma.f64 x x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) x)) |
(fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64))) (-.f64 x #s(literal -1 binary64)) (*.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))))) |
(fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64))) (-.f64 x #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) x)) |
(fma.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1/2 binary64)) (*.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))))) |
(fma.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1/2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) x)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) x #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 x #s(literal -1 binary64)) x #s(literal 1 binary64)))) (*.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) x #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 x #s(literal -1 binary64)) x #s(literal 1 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) x)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) x #s(literal -1 binary64))) (*.f64 (fma.f64 (-.f64 x #s(literal -1 binary64)) x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64)))) (*.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) x #s(literal -1 binary64))) (*.f64 (fma.f64 (-.f64 x #s(literal -1 binary64)) x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) x)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) x #s(literal -1 binary64))) (fma.f64 x x #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) x #s(literal -1 binary64))) x)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) x #s(literal -1 binary64))) (*.f64 x x) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) x #s(literal -1 binary64))) (-.f64 x #s(literal -1 binary64)))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) x #s(literal -1 binary64))) (-.f64 x #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) x #s(literal -1 binary64))) (*.f64 x x))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) x #s(literal 1 binary64))) (*.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) (*.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) x #s(literal 1 binary64))) (*.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) x)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) x #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))) (*.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) x #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) x)) |
(fma.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64)))) (*.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))))) |
(fma.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) x)) |
(fma.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) (*.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))))) |
(fma.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) x)) |
(fma.f64 (fma.f64 x x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) x #s(literal -1 binary64))) (*.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) x #s(literal -1 binary64))))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64))) (*.f64 x (/.f64 #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))) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) x)) |
(fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64)))) #s(literal -1 binary64) (*.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))))) |
(fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64)))) #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) x)) |
(fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64)) (*.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))))) |
(fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (fma.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 #s(literal -1 binary64))) x)) |
(fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal -1 binary64))) (*.f64 x (/.f64 #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))) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal -1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) x)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) (*.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) x)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64)))) (*.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) x)) |
(fma.f64 (/.f64 #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 x (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))))) |
(fma.f64 (/.f64 #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 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) x)) |
(fma.f64 (/.f64 #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 x (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))))) |
(fma.f64 (/.f64 #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 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) x)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) x (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64)))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) #s(literal 1 binary64) (*.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) x)) |
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) x #s(literal -1 binary64))) (*.f64 (-.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) x #s(literal -1 binary64))))) |
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x x #s(literal -1 binary64)))) (*.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))))) |
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x x #s(literal -1 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) x)) |
(fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64)))) (*.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))))) |
(fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) x)) |
(fma.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64)))) (*.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))))) |
(fma.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) x)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))) (*.f64 x (/.f64 #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))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) x)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (*.f64 x (/.f64 #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))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) x)) |
(fma.f64 (-.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) x #s(literal -1 binary64))) (*.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) x #s(literal -1 binary64))))) |
(fma.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64)))) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (*.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))))) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) x)) |
(-.f64 (/.f64 (*.f64 (/.f64 x (-.f64 x #s(literal 1 binary64))) x) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (fma.f64 x x #s(literal -1 binary64)))) |
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64)))) |
(exp.f64 (neg.f64 (log.f64 (-.f64 x #s(literal 1 binary64))))) |
(+.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) x #s(literal -1 binary64)))) (*.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) x #s(literal -1 binary64))))) |
(+.f64 (*.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) x #s(literal -1 binary64)))) (*.f64 (-.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) x #s(literal -1 binary64))))) |
(+.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) x #s(literal -1 binary64)))) (*.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) x #s(literal -1 binary64))))) |
(+.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64)))) |
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) x #s(literal -1 binary64))) (fma.f64 x x #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) x #s(literal -1 binary64))) x)) |
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) x #s(literal -1 binary64))) (*.f64 x x)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) x #s(literal -1 binary64))) (-.f64 x #s(literal -1 binary64)))) |
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) x #s(literal -1 binary64))) (-.f64 x #s(literal -1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) x #s(literal -1 binary64))) (*.f64 x x))) |
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) x) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64)))) |
(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (*.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))))) |
(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) x)) |
Compiled 21 683 to 1 988 computations (90.8% saved)
6 alts after pruning (6 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 742 | 6 | 748 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 743 | 6 | 749 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 84.7% | (/.f64 (/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal -1 binary64))) |
| 84.7% | (/.f64 (/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x)) (-.f64 #s(literal 1 binary64) x)) | |
| ▶ | 84.7% | (/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))) |
| ▶ | 51.6% | #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64))) |
| ▶ | 49.3% | #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) (*.f64 x x))) |
| ▶ | 52.1% | #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(literal 2 binary64)) |
Compiled 126 to 74 computations (41.3% saved)
| 1× | egg-herbie |
Found 15 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 x #s(literal 1 binary64)) | |
| cost-diff | 0 | (/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))) | |
| cost-diff | 192 | (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) | |
| cost-diff | 384 | (-.f64 (-.f64 x #s(literal 1 binary64)) x) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (/.f64 #s(literal -2 binary64) (*.f64 x x)) | |
| cost-diff | 0 | #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) (*.f64 x x))) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64))) | |
| cost-diff | 128 | (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)) | |
| cost-diff | 0 | #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(literal 2 binary64)) | |
| cost-diff | 0 | (/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) | |
| cost-diff | 192 | (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) | |
| cost-diff | 384 | (-.f64 (-.f64 x #s(literal 1 binary64)) x) | |
| cost-diff | 704 | (/.f64 (/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal -1 binary64))) |
| 14 620× | lower-fma.f32 |
| 14 616× | lower-fma.f64 |
| 2 780× | lower-*.f32 |
| 2 778× | lower-*.f64 |
| 2 328× | lower--.f32 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 151 |
| 0 | 36 | 162 |
| 1 | 66 | 162 |
| 2 | 138 | 110 |
| 3 | 352 | 95 |
| 4 | 763 | 95 |
| 5 | 2614 | 95 |
| 6 | 5843 | 95 |
| 7 | 7804 | 95 |
| 0 | 8274 | 95 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal -1 binary64))) |
(/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) |
(-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) |
(-.f64 (-.f64 x #s(literal 1 binary64)) x) |
(-.f64 x #s(literal 1 binary64)) |
x |
#s(literal 1 binary64) |
(-.f64 x #s(literal -1 binary64)) |
#s(literal -1 binary64) |
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64))) |
(fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)) |
(*.f64 x x) |
x |
#s(literal 2 binary64) |
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) (*.f64 x x))) |
(/.f64 #s(literal -2 binary64) (*.f64 x x)) |
#s(literal -2 binary64) |
(*.f64 x x) |
x |
(/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))) |
(-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) |
(-.f64 (-.f64 x #s(literal 1 binary64)) x) |
(-.f64 x #s(literal 1 binary64)) |
x |
#s(literal 1 binary64) |
(fma.f64 x x #s(literal -1 binary64)) |
#s(literal -1 binary64) |
| Outputs |
|---|
(/.f64 (/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal -1 binary64))) |
(/.f64 #s(literal -2 binary64) (fma.f64 x x #s(literal -1 binary64))) |
(/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) |
(/.f64 #s(literal -2 binary64) (-.f64 x #s(literal 1 binary64))) |
(-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) |
#s(literal -2 binary64) |
(-.f64 (-.f64 x #s(literal 1 binary64)) x) |
#s(literal -1 binary64) |
(-.f64 x #s(literal 1 binary64)) |
x |
#s(literal 1 binary64) |
(-.f64 x #s(literal -1 binary64)) |
#s(literal -1 binary64) |
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64))) |
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 (+.f64 x x) x #s(literal 2 binary64))) |
(fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)) |
(fma.f64 (+.f64 x x) x #s(literal 2 binary64)) |
(*.f64 x x) |
x |
#s(literal 2 binary64) |
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) (*.f64 x x))) |
(/.f64 #s(literal -2 binary64) (*.f64 x x)) |
#s(literal -2 binary64) |
(*.f64 x x) |
x |
(/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))) |
(/.f64 #s(literal -2 binary64) (fma.f64 x x #s(literal -1 binary64))) |
(-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) |
#s(literal -2 binary64) |
(-.f64 (-.f64 x #s(literal 1 binary64)) x) |
#s(literal -1 binary64) |
(-.f64 x #s(literal 1 binary64)) |
x |
#s(literal 1 binary64) |
(fma.f64 x x #s(literal -1 binary64)) |
#s(literal -1 binary64) |
Found 15 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) | |
| accuracy | 0 | (-.f64 x #s(literal 1 binary64)) | |
| accuracy | 0.10324318953124967 | (/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))) | |
| accuracy | 29.788385245541566 | (-.f64 (-.f64 x #s(literal 1 binary64)) x) | |
| accuracy | 0 | (*.f64 x x) | |
| accuracy | 0.18136818953124967 | (/.f64 #s(literal -2 binary64) (*.f64 x x)) | |
| accuracy | 32.33751640131248 | #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) (*.f64 x x))) | |
| accuracy | 0 | (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)) | |
| accuracy | 0 | (*.f64 x x) | |
| accuracy | 31.007588700456694 | #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64))) | |
| accuracy | 30.64263467037218 | #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(literal 2 binary64)) | |
| accuracy | 0 | (-.f64 x #s(literal -1 binary64)) | |
| accuracy | 0.00390625 | (/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) | |
| accuracy | 0.0703125 | (/.f64 (/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal -1 binary64))) | |
| accuracy | 29.788385245541566 | (-.f64 (-.f64 x #s(literal 1 binary64)) x) |
| 42.0ms | 131× | 0 | valid |
| 37.0ms | 125× | 1 | valid |
Compiled 141 to 23 computations (83.7% saved)
ival-sub: 29.0ms (46.9% of total)ival-div: 17.0ms (27.5% of total)adjust: 6.0ms (9.7% of total)ival-add: 5.0ms (8.1% of total)ival-mult: 4.0ms (6.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f64 (/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal -1 binary64))) (patch (/.f64 (/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal -1 binary64))) #<representation binary64>) () ()) |
#s(alt (-.f64 (-.f64 x #s(literal 1 binary64)) x) (patch (-.f64 (-.f64 x #s(literal 1 binary64)) x) #<representation binary64>) () ()) |
#s(alt (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (patch (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (patch (/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(literal 2 binary64)) (patch #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(literal 2 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64))) (patch #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ()) |
#s(alt #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (patch #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) (*.f64 x x))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal -2 binary64) (*.f64 x x)) (patch (/.f64 #s(literal -2 binary64) (*.f64 x x)) #<representation binary64>) () ()) |
#s(alt (/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (patch (/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (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 (-.f64 x #s(literal -1 binary64)) (patch (-.f64 x #s(literal -1 binary64)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt 2 (taylor 0 x) (#s(alt (/.f64 (/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal -1 binary64))) (patch (/.f64 (/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 2 (* 2 (pow x 2))) (taylor 0 x) (#s(alt (/.f64 (/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal -1 binary64))) (patch (/.f64 (/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))) (taylor 0 x) (#s(alt (/.f64 (/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal -1 binary64))) (patch (/.f64 (/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))))) (taylor 0 x) (#s(alt (/.f64 (/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal -1 binary64))) (patch (/.f64 (/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt -1 (taylor 0 x) (#s(alt (-.f64 (-.f64 x #s(literal 1 binary64)) x) (patch (-.f64 (-.f64 x #s(literal 1 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt -1 (taylor 0 x) (#s(alt (-.f64 (-.f64 x #s(literal 1 binary64)) x) (patch (-.f64 (-.f64 x #s(literal 1 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt -1 (taylor 0 x) (#s(alt (-.f64 (-.f64 x #s(literal 1 binary64)) x) (patch (-.f64 (-.f64 x #s(literal 1 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt -1 (taylor 0 x) (#s(alt (-.f64 (-.f64 x #s(literal 1 binary64)) x) (patch (-.f64 (-.f64 x #s(literal 1 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt -2 (taylor 0 x) (#s(alt (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (patch (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt -2 (taylor 0 x) (#s(alt (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (patch (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt -2 (taylor 0 x) (#s(alt (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (patch (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt -2 (taylor 0 x) (#s(alt (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (patch (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt 2 (taylor 0 x) (#s(alt (/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (patch (/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 2 (* 2 x)) (taylor 0 x) (#s(alt (/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (patch (/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 2 (* x (+ 2 (* 2 x)))) (taylor 0 x) (#s(alt (/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (patch (/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 2 (* x (+ 2 (* x (+ 2 (* 2 x)))))) (taylor 0 x) (#s(alt (/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (patch (/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt 2 (taylor 0 x) (#s(alt #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(literal 2 binary64)) (patch #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 2 (* 2 (pow x 2))) (taylor 0 x) (#s(alt #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(literal 2 binary64)) (patch #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))) (taylor 0 x) (#s(alt #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(literal 2 binary64)) (patch #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))))) (taylor 0 x) (#s(alt #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(literal 2 binary64)) (patch #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt 2 (taylor 0 x) (#s(alt (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 2 (* 2 (pow x 2))) (taylor 0 x) (#s(alt (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 2 (* 2 (pow x 2))) (taylor 0 x) (#s(alt (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 2 (* 2 (pow x 2))) (taylor 0 x) (#s(alt (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt 2 (taylor 0 x) (#s(alt #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64))) (patch #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 2 (* 2 (pow x 2))) (taylor 0 x) (#s(alt #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64))) (patch #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))) (taylor 0 x) (#s(alt #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64))) (patch #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))))) (taylor 0 x) (#s(alt #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64))) (patch #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
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#s(alt (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2)) (taylor -inf x) (#s(alt (/.f64 (/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal -1 binary64))) (patch (/.f64 (/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (-.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)) x) (patch (-.f64 (-.f64 x #s(literal 1 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt -1 (taylor -inf x) (#s(alt (-.f64 (-.f64 x #s(literal 1 binary64)) x) (patch (-.f64 (-.f64 x #s(literal 1 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt -1 (taylor -inf x) (#s(alt (-.f64 (-.f64 x #s(literal 1 binary64)) x) (patch (-.f64 (-.f64 x #s(literal 1 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt -1 (taylor -inf x) (#s(alt (-.f64 (-.f64 x #s(literal 1 binary64)) x) (patch (-.f64 (-.f64 x #s(literal 1 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt -2 (taylor -inf x) (#s(alt (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (patch (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt -2 (taylor -inf x) (#s(alt (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (patch (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt -2 (taylor -inf x) (#s(alt (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (patch (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt -2 (taylor -inf x) (#s(alt (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (patch (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ -2 x) (taylor -inf x) (#s(alt (/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (patch (/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) (taylor -inf x) (#s(alt (/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (patch (/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) (taylor -inf x) (#s(alt (/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (patch (/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ 2 (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) x))) x)) (taylor -inf x) (#s(alt (/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (patch (/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ -2 (pow x 2)) (taylor -inf x) (#s(alt #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(literal 2 binary64)) (patch #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) (taylor -inf x) (#s(alt #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(literal 2 binary64)) (patch #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2)) (taylor -inf x) (#s(alt #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(literal 2 binary64)) (patch #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2)) (taylor -inf x) (#s(alt #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(literal 2 binary64)) (patch #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (pow x 2)) (taylor -inf x) (#s(alt (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 2 (* 2 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 2 (* 2 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 2 (* 2 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ -2 (pow x 2)) (taylor -inf x) (#s(alt #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64))) (patch #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) (taylor -inf x) (#s(alt #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64))) (patch #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2)) (taylor -inf x) (#s(alt #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64))) (patch #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2)) (taylor -inf x) (#s(alt #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64))) (patch #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (/ -2 (pow x 2)) (taylor -inf x) (#s(alt #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (patch #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) (taylor -inf x) (#s(alt #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (patch #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2)) (taylor -inf x) (#s(alt #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (patch #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2)) (taylor -inf x) (#s(alt #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (patch #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (/ -2 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal -2 binary64) (*.f64 x x)) (patch (/.f64 #s(literal -2 binary64) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (/ -2 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal -2 binary64) (*.f64 x x)) (patch (/.f64 #s(literal -2 binary64) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (/ -2 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal -2 binary64) (*.f64 x x)) (patch (/.f64 #s(literal -2 binary64) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (/ -2 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal -2 binary64) (*.f64 x x)) (patch (/.f64 #s(literal -2 binary64) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (/ -2 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (patch (/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) (taylor -inf x) (#s(alt (/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (patch (/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2)) (taylor -inf x) (#s(alt (/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (patch (/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2)) (taylor -inf x) (#s(alt (/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (patch (/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (fma.f64 x 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 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>) () ())) ()) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | ((/ (/ (- (- (- x 1) x) 1) (- x 1)) (- x -1)) (- (- x 1) x) (- (- (- x 1) x) 1) (/ (- (- (- x 1) x) 1) (- x 1)) (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (+ (* (* x x) 2) 2) (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (* x x) (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/ -2 (* x x)) (/ (- (- (- x 1) x) 1) (+ (* x x) -1)) (- x 1) (- x -1)) |
| 1.0ms | x | @ | 0 | ((/ (/ (- (- (- x 1) x) 1) (- x 1)) (- x -1)) (- (- x 1) x) (- (- (- x 1) x) 1) (/ (- (- (- x 1) x) 1) (- x 1)) (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (+ (* (* x x) 2) 2) (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (* x x) (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/ -2 (* x x)) (/ (- (- (- x 1) x) 1) (+ (* x x) -1)) (- x 1) (- x -1)) |
| 1.0ms | x | @ | inf | ((/ (/ (- (- (- x 1) x) 1) (- x 1)) (- x -1)) (- (- x 1) x) (- (- (- x 1) x) 1) (/ (- (- (- x 1) x) 1) (- x 1)) (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (+ (* (* x x) 2) 2) (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (* x x) (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/ -2 (* x x)) (/ (- (- (- x 1) x) 1) (+ (* x x) -1)) (- x 1) (- x -1)) |
| 1× | egg-herbie |
| 10 802× | lower-fma.f64 |
| 10 802× | lower-fma.f32 |
| 3 882× | lower-*.f64 |
| 3 882× | lower-*.f32 |
| 1 440× | div-sub |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 63 | 1154 |
| 1 | 183 | 1150 |
| 2 | 497 | 1072 |
| 3 | 1450 | 1032 |
| 4 | 4088 | 1032 |
| 0 | 8264 | 993 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
2 |
(+ 2 (* 2 (pow x 2))) |
(+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))) |
(+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))))) |
-1 |
-1 |
-1 |
-1 |
-2 |
-2 |
-2 |
-2 |
2 |
(+ 2 (* 2 x)) |
(+ 2 (* x (+ 2 (* 2 x)))) |
(+ 2 (* x (+ 2 (* x (+ 2 (* 2 x)))))) |
2 |
(+ 2 (* 2 (pow x 2))) |
(+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))) |
(+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))))) |
2 |
(+ 2 (* 2 (pow x 2))) |
(+ 2 (* 2 (pow x 2))) |
(+ 2 (* 2 (pow x 2))) |
2 |
(+ 2 (* 2 (pow x 2))) |
(+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))) |
(+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))))) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
2 |
(+ 2 (* 2 (pow x 2))) |
(+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))) |
(+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))))) |
(/ -2 (pow x 2)) |
(/ -2 (pow x 2)) |
(/ -2 (pow x 2)) |
(/ -2 (pow x 2)) |
2 |
(+ 2 (* 2 (pow x 2))) |
(+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))) |
(+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))))) |
-1 |
(- x 1) |
(- x 1) |
(- x 1) |
1 |
(+ 1 x) |
(+ 1 x) |
(+ 1 x) |
(/ -2 (pow x 2)) |
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) |
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2)) |
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2)) |
-1 |
-1 |
-1 |
-1 |
-2 |
-2 |
-2 |
-2 |
(/ -2 x) |
(* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) |
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) x) |
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 2 (* 2 (/ 1 x)))) x) |
(/ -2 (pow x 2)) |
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) |
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2)) |
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2)) |
(* 2 (pow x 2)) |
(* (pow x 2) (+ 2 (* 2 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 2 (* 2 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 2 (* 2 (/ 1 (pow x 2))))) |
(/ -2 (pow x 2)) |
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) |
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2)) |
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2)) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(/ -2 (pow x 2)) |
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) |
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2)) |
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2)) |
(/ -2 (pow x 2)) |
(/ -2 (pow x 2)) |
(/ -2 (pow x 2)) |
(/ -2 (pow x 2)) |
(/ -2 (pow x 2)) |
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) |
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2)) |
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2)) |
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))) |
(/ -2 (pow x 2)) |
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) |
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2)) |
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2)) |
-1 |
-1 |
-1 |
-1 |
-2 |
-2 |
-2 |
-2 |
(/ -2 x) |
(* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) |
(* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) |
(* -1 (/ (+ 2 (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) x))) x)) |
(/ -2 (pow x 2)) |
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) |
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2)) |
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2)) |
(* 2 (pow x 2)) |
(* (pow x 2) (+ 2 (* 2 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 2 (* 2 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 2 (* 2 (/ 1 (pow x 2))))) |
(/ -2 (pow x 2)) |
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) |
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2)) |
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2)) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(/ -2 (pow x 2)) |
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) |
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2)) |
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2)) |
(/ -2 (pow x 2)) |
(/ -2 (pow x 2)) |
(/ -2 (pow x 2)) |
(/ -2 (pow x 2)) |
(/ -2 (pow x 2)) |
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) |
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2)) |
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2)) |
x |
(* -1 (* x (- (/ 1 x) 1))) |
(* -1 (* x (- (/ 1 x) 1))) |
(* -1 (* x (- (/ 1 x) 1))) |
x |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
| Outputs |
|---|
2 |
#s(literal 2 binary64) |
(+ 2 (* 2 (pow x 2))) |
(fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)) |
(+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))) |
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 x x) #s(literal 2 binary64)) |
(+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))))) |
(*.f64 (fma.f64 (*.f64 (*.f64 x x) x) x #s(literal 1 binary64)) (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64))) |
-1 |
#s(literal -1 binary64) |
-1 |
#s(literal -1 binary64) |
-1 |
#s(literal -1 binary64) |
-1 |
#s(literal -1 binary64) |
-2 |
#s(literal -2 binary64) |
-2 |
#s(literal -2 binary64) |
-2 |
#s(literal -2 binary64) |
-2 |
#s(literal -2 binary64) |
2 |
#s(literal 2 binary64) |
(+ 2 (* 2 x)) |
(fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) |
(+ 2 (* x (+ 2 (* 2 x)))) |
(fma.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) x #s(literal 2 binary64)) |
(+ 2 (* x (+ 2 (* x (+ 2 (* 2 x)))))) |
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))) |
2 |
#s(literal 2 binary64) |
(+ 2 (* 2 (pow x 2))) |
(fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)) |
(+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))) |
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 x x) #s(literal 2 binary64)) |
(+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))))) |
(*.f64 (fma.f64 (*.f64 (*.f64 x x) x) x #s(literal 1 binary64)) (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64))) |
2 |
#s(literal 2 binary64) |
(+ 2 (* 2 (pow x 2))) |
(fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)) |
(+ 2 (* 2 (pow x 2))) |
(fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)) |
(+ 2 (* 2 (pow x 2))) |
(fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)) |
2 |
#s(literal 2 binary64) |
(+ 2 (* 2 (pow x 2))) |
(fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)) |
(+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))) |
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 x x) #s(literal 2 binary64)) |
(+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))))) |
(*.f64 (fma.f64 (*.f64 (*.f64 x x) x) x #s(literal 1 binary64)) (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64))) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
2 |
#s(literal 2 binary64) |
(+ 2 (* 2 (pow x 2))) |
(fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)) |
(+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))) |
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 x x) #s(literal 2 binary64)) |
(+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))))) |
(*.f64 (fma.f64 (*.f64 (*.f64 x x) x) x #s(literal 1 binary64)) (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64))) |
(/ -2 (pow x 2)) |
(/.f64 #s(literal -2 binary64) (*.f64 x x)) |
(/ -2 (pow x 2)) |
(/.f64 #s(literal -2 binary64) (*.f64 x x)) |
(/ -2 (pow x 2)) |
(/.f64 #s(literal -2 binary64) (*.f64 x x)) |
(/ -2 (pow x 2)) |
(/.f64 #s(literal -2 binary64) (*.f64 x x)) |
2 |
#s(literal 2 binary64) |
(+ 2 (* 2 (pow x 2))) |
(fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)) |
(+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))) |
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 x x) #s(literal 2 binary64)) |
(+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))))) |
(*.f64 (fma.f64 (*.f64 (*.f64 x x) x) x #s(literal 1 binary64)) (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64))) |
-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)) |
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) |
(/ -2 (pow x 2)) |
(/.f64 #s(literal -2 binary64) (*.f64 x x)) |
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) |
(/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x x)) |
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2)) |
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 x x)) |
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2)) |
(*.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -2 binary64)) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)))) |
-1 |
#s(literal -1 binary64) |
-1 |
#s(literal -1 binary64) |
-1 |
#s(literal -1 binary64) |
-1 |
#s(literal -1 binary64) |
-2 |
#s(literal -2 binary64) |
-2 |
#s(literal -2 binary64) |
-2 |
#s(literal -2 binary64) |
-2 |
#s(literal -2 binary64) |
(/ -2 x) |
(/.f64 #s(literal -2 binary64) x) |
(* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) |
(*.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (-.f64 #s(literal -1 binary64) x)) |
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) x) |
(/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (-.f64 #s(literal -1 binary64) x) #s(literal -2 binary64)) x) |
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 2 (* 2 (/ 1 x)))) x) |
(*.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (-.f64 #s(literal -1 binary64) x)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64))) |
(/ -2 (pow x 2)) |
(/.f64 #s(literal -2 binary64) (*.f64 x x)) |
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) |
(/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x x)) |
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2)) |
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 x x)) |
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2)) |
(*.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -2 binary64)) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)))) |
(* 2 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 2 binary64)) |
(* (pow x 2) (+ 2 (* 2 (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)) |
(* (pow x 2) (+ 2 (* 2 (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)) |
(* (pow x 2) (+ 2 (* 2 (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)) |
(/ -2 (pow x 2)) |
(/.f64 #s(literal -2 binary64) (*.f64 x x)) |
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) |
(/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x x)) |
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2)) |
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 x x)) |
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2)) |
(*.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -2 binary64)) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)))) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(/ -2 (pow x 2)) |
(/.f64 #s(literal -2 binary64) (*.f64 x x)) |
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) |
(/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x x)) |
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2)) |
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 x x)) |
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2)) |
(*.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -2 binary64)) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)))) |
(/ -2 (pow x 2)) |
(/.f64 #s(literal -2 binary64) (*.f64 x x)) |
(/ -2 (pow x 2)) |
(/.f64 #s(literal -2 binary64) (*.f64 x x)) |
(/ -2 (pow x 2)) |
(/.f64 #s(literal -2 binary64) (*.f64 x x)) |
(/ -2 (pow x 2)) |
(/.f64 #s(literal -2 binary64) (*.f64 x x)) |
(/ -2 (pow x 2)) |
(/.f64 #s(literal -2 binary64) (*.f64 x x)) |
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) |
(/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x x)) |
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2)) |
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 x x)) |
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2)) |
(*.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -2 binary64)) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)))) |
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 |
(* 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) |
(/ -2 (pow x 2)) |
(/.f64 #s(literal -2 binary64) (*.f64 x x)) |
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) |
(/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x x)) |
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2)) |
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 x x)) |
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2)) |
(*.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -2 binary64)) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)))) |
-1 |
#s(literal -1 binary64) |
-1 |
#s(literal -1 binary64) |
-1 |
#s(literal -1 binary64) |
-1 |
#s(literal -1 binary64) |
-2 |
#s(literal -2 binary64) |
-2 |
#s(literal -2 binary64) |
-2 |
#s(literal -2 binary64) |
-2 |
#s(literal -2 binary64) |
(/ -2 x) |
(/.f64 #s(literal -2 binary64) x) |
(* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) |
(*.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)) |
(/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (-.f64 #s(literal -1 binary64) x) #s(literal -2 binary64)) x) |
(* -1 (/ (+ 2 (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) x))) x)) |
(*.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (-.f64 #s(literal -1 binary64) x)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64))) |
(/ -2 (pow x 2)) |
(/.f64 #s(literal -2 binary64) (*.f64 x x)) |
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) |
(/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x x)) |
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2)) |
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 x x)) |
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2)) |
(*.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -2 binary64)) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)))) |
(* 2 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 2 binary64)) |
(* (pow x 2) (+ 2 (* 2 (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)) |
(* (pow x 2) (+ 2 (* 2 (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)) |
(* (pow x 2) (+ 2 (* 2 (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)) |
(/ -2 (pow x 2)) |
(/.f64 #s(literal -2 binary64) (*.f64 x x)) |
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) |
(/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x x)) |
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2)) |
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 x x)) |
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2)) |
(*.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -2 binary64)) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)))) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(/ -2 (pow x 2)) |
(/.f64 #s(literal -2 binary64) (*.f64 x x)) |
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) |
(/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x x)) |
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2)) |
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 x x)) |
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2)) |
(*.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -2 binary64)) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)))) |
(/ -2 (pow x 2)) |
(/.f64 #s(literal -2 binary64) (*.f64 x x)) |
(/ -2 (pow x 2)) |
(/.f64 #s(literal -2 binary64) (*.f64 x x)) |
(/ -2 (pow x 2)) |
(/.f64 #s(literal -2 binary64) (*.f64 x x)) |
(/ -2 (pow x 2)) |
(/.f64 #s(literal -2 binary64) (*.f64 x x)) |
(/ -2 (pow x 2)) |
(/.f64 #s(literal -2 binary64) (*.f64 x x)) |
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) |
(/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x x)) |
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2)) |
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 x x)) |
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2)) |
(*.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -2 binary64)) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)))) |
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)) |
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) |
| 4 790× | lower-/.f32 |
| 4 782× | lower-/.f64 |
| 4 142× | lower-*.f32 |
| 4 140× | lower-*.f64 |
| 3 328× | lower-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 118 |
| 0 | 36 | 115 |
| 1 | 191 | 113 |
| 2 | 1732 | 113 |
| 0 | 8143 | 108 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal -1 binary64))) |
(-.f64 (-.f64 x #s(literal 1 binary64)) x) |
(-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) |
(/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) |
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(literal 2 binary64)) |
(fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)) |
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64))) |
(*.f64 x x) |
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) (*.f64 x x))) |
(/.f64 #s(literal -2 binary64) (*.f64 x x)) |
(/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))) |
(-.f64 x #s(literal 1 binary64)) |
(-.f64 x #s(literal -1 binary64)) |
| Outputs |
|---|
(*.f64 (pow.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 (*.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) (-.f64 (-.f64 x #s(literal 1 binary64)) x)) (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) (-.f64 (-.f64 x #s(literal 1 binary64)) x) (+.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64))))) |
(*.f64 (pow.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (neg.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64)))) |
(*.f64 (pow.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) |
(*.f64 (/.f64 (/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (fma.f64 x x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64))) |
(*.f64 (/.f64 (/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (fma.f64 (*.f64 x x) x #s(literal 1 binary64))) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) |
(*.f64 (/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (fma.f64 (*.f64 (*.f64 x x) x) x #s(literal -1 binary64))) (fma.f64 x x #s(literal 1 binary64))) |
(*.f64 (/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (fma.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x) #s(literal -1 binary64))) (fma.f64 (*.f64 (*.f64 x x) x) x (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x)))) |
(*.f64 (*.f64 (/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64)))) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64)))) (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64))))) (/.f64 #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 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64))) (-.f64 x #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x)))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (+.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64))))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64))) |
(*.f64 (neg.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x x #s(literal -1 binary64))))) |
(*.f64 (/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal -1 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))) (/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) |
(*.f64 (/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64)))) |
(*.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64)))) |
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) |
(pow.f64 (/.f64 (/.f64 (+.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))) (fma.f64 x x #s(literal -1 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64)))) (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64)))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (+.f64 (/.f64 (+.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64))))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64))) (-.f64 x #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64))) (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) x)) |
(/.f64 (neg.f64 (*.f64 (neg.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))))) (neg.f64 (-.f64 #s(literal 1 binary64) x))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))))) (-.f64 #s(literal 1 binary64) x)) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))))) (neg.f64 (+.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) (-.f64 (-.f64 x #s(literal 1 binary64)) x)) (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))))) (neg.f64 (fma.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) (-.f64 (-.f64 x #s(literal 1 binary64)) x) (+.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (*.f64 (/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) #s(literal -1 binary64))) (neg.f64 (neg.f64 (-.f64 x #s(literal -1 binary64))))) |
(/.f64 (neg.f64 (*.f64 (/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))) (neg.f64 (-.f64 x #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (/.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) (fma.f64 x x #s(literal -1 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64)))))) (neg.f64 (+.f64 (/.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64)))))) |
(/.f64 (neg.f64 (-.f64 (/.f64 (*.f64 (*.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) (-.f64 (-.f64 x #s(literal 1 binary64)) x)) (-.f64 (-.f64 x #s(literal 1 binary64)) x)) (*.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64)))))) (neg.f64 (fma.f64 (/.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) (fma.f64 x x #s(literal -1 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (*.f64 (/.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64)))))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64)))) (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64))))))) (neg.f64 (neg.f64 (/.f64 (+.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))) (fma.f64 x x #s(literal -1 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64))) (-.f64 x #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x)))))) (neg.f64 (neg.f64 (+.f64 (/.f64 (+.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64)))))))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64))) #s(literal -1 binary64))) (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (neg.f64 (-.f64 x #s(literal -1 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64))) #s(literal 1 binary64))) (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64))) (neg.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (neg.f64 (-.f64 x #s(literal -1 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 x x #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal -1 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (+.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) (-.f64 (-.f64 x #s(literal 1 binary64)) x)) (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal -1 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) (-.f64 (-.f64 x #s(literal 1 binary64)) x) (+.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64))) (fma.f64 x x #s(literal -1 binary64))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) (fma.f64 x x #s(literal -1 binary64))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64)))) (neg.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x)) (*.f64 (neg.f64 (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)))) (neg.f64 (*.f64 (neg.f64 (-.f64 x #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) x)))) |
(/.f64 (neg.f64 (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (neg.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (*.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64))))) (neg.f64 (neg.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64)))))) |
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64)))) (neg.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64))))) |
(/.f64 (-.f64 (*.f64 (/.f64 #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))) (fma.f64 x x #s(literal -1 binary64)))) (*.f64 (/.f64 (+.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))) (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64)))))) (*.f64 (/.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 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))) (fma.f64 x x #s(literal -1 binary64))))) |
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) (-.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 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64)))))) (*.f64 (+.f64 (/.f64 (+.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64))))) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x))))) (*.f64 (+.f64 (/.f64 (+.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) (/.f64 #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 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64))))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) (-.f64 x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x)) (*.f64 (-.f64 x #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)))) (neg.f64 (fma.f64 x x #s(literal -1 binary64)))) |
(/.f64 (-.f64 (*.f64 (/.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) (-.f64 x #s(literal 1 binary64))) (neg.f64 (-.f64 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 x #s(literal -1 binary64)) (neg.f64 (-.f64 x #s(literal -1 binary64))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) (-.f64 x #s(literal 1 binary64))) (-.f64 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 x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64)))) |
(/.f64 (-.f64 (*.f64 (/.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64))) (*.f64 (-.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))))) (fma.f64 x x #s(literal -1 binary64))) |
(/.f64 (-.f64 (*.f64 (/.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) (-.f64 x #s(literal 1 binary64))) (neg.f64 (fma.f64 x x #s(literal -1 binary64)))) (*.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))) (*.f64 (-.f64 x #s(literal -1 binary64)) (neg.f64 (fma.f64 x x #s(literal -1 binary64))))) |
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(fma.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64)))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64)))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64)))) |
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64)))) |
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64)))) |
(fma.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))))) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64)))) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64)))) |
(-.f64 (/.f64 (/.f64 #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))) (fma.f64 x x #s(literal -1 binary64)))) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 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 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) (-.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 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64)))))) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x))) (+.f64 (/.f64 (+.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64))))))) |
(-.f64 (/.f64 (/.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x 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)) (fma.f64 x x #s(literal -1 binary64)))) |
(-.f64 (/.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)))) #s(literal -1 binary64))) |
(+.f64 (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64)))) |
(+.f64 (/.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))))) |
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64)))) |
(*.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 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 (*.f64 x x) x #s(literal 1 binary64))) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) |
(*.f64 (fma.f64 (*.f64 x x) x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 x #s(literal -1 binary64))))) |
(*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64)))) |
(*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) |
(pow.f64 (/.f64 (fma.f64 x x (-.f64 x #s(literal -1 binary64))) (fma.f64 (*.f64 x x) x #s(literal -1 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)) |
(pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64)))) (neg.f64 (-.f64 x #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) x #s(literal -1 binary64)))) (neg.f64 (fma.f64 x x (-.f64 x #s(literal -1 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) x #s(literal -1 binary64)))) (neg.f64 (neg.f64 (fma.f64 x x (-.f64 x #s(literal -1 binary64)))))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (neg.f64 (-.f64 x #s(literal -1 binary64)))) (*.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))) (*.f64 (-.f64 x #s(literal -1 binary64)) (neg.f64 (-.f64 x #s(literal -1 binary64))))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (neg.f64 (neg.f64 (-.f64 x #s(literal -1 binary64))))) (-.f64 x #s(literal -1 binary64))) (*.f64 (-.f64 x #s(literal -1 binary64)) (neg.f64 (neg.f64 (-.f64 x #s(literal -1 binary64)))))) |
(/.f64 (-.f64 (*.f64 (*.f64 x 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 (-.f64 (*.f64 (*.f64 (*.f64 x x) x) (fma.f64 x x (-.f64 x #s(literal -1 binary64)))) (*.f64 (fma.f64 x x (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))) (*.f64 (fma.f64 x x (-.f64 x #s(literal -1 binary64))) (fma.f64 x x (-.f64 x #s(literal -1 binary64))))) |
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (-.f64 x #s(literal -1 binary64))) |
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) x #s(literal -1 binary64))) (fma.f64 x x (-.f64 x #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64)))) (neg.f64 (neg.f64 (-.f64 x #s(literal -1 binary64))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) |
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) x #s(literal -1 binary64))) (neg.f64 (*.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 x #s(literal -1 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) x #s(literal -1 binary64))) (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) (neg.f64 x))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) x #s(literal -1 binary64))) (neg.f64 (fma.f64 x x (-.f64 x #s(literal -1 binary64))))) |
(/.f64 (fma.f64 (*.f64 x x) x #s(literal -1 binary64)) (*.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 x #s(literal -1 binary64))))) |
(/.f64 (fma.f64 (*.f64 x x) x #s(literal -1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) (neg.f64 x)))) |
(/.f64 (fma.f64 (*.f64 x x) x #s(literal -1 binary64)) (fma.f64 x x (-.f64 x #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (-.f64 x #s(literal -1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) |
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x x (-.f64 x #s(literal -1 binary64))) (fma.f64 (*.f64 x x) x #s(literal -1 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))))) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64)))) |
(/.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (-.f64 x #s(literal -1 binary64))) (fma.f64 (*.f64 x x) x #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) |
(fma.f64 #s(literal 1 binary64) x #s(literal -1 binary64)) |
(fma.f64 x #s(literal 1 binary64) #s(literal -1 binary64)) |
(expm1.f64 (*.f64 (log.f64 x) #s(literal 1 binary64))) |
(-.f64 (/.f64 x #s(literal 1 binary64)) #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 (*.f64 x x) x) (fma.f64 x x (-.f64 x #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 x #s(literal -1 binary64))))) |
(-.f64 x #s(literal 1 binary64)) |
(exp.f64 (log.f64 (-.f64 x #s(literal 1 binary64)))) |
(+.f64 #s(literal -1 binary64) x) |
(+.f64 x #s(literal -1 binary64)) |
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 (*.f64 x x) x #s(literal -1 binary64))) (fma.f64 x x (-.f64 x #s(literal -1 binary64)))) |
(*.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 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))) |
(*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) |
(*.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))) |
(pow.f64 (/.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (fma.f64 (*.f64 x x) x #s(literal 1 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)) |
(pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (neg.f64 (-.f64 #s(literal 1 binary64) x))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x)) |
(/.f64 (-.f64 (*.f64 (*.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)) (-.f64 #s(literal 1 binary64) x))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (neg.f64 (-.f64 #s(literal 1 binary64) x))) (-.f64 x #s(literal 1 binary64))) (*.f64 (-.f64 x #s(literal 1 binary64)) (neg.f64 (-.f64 #s(literal 1 binary64) x)))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 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 (*.f64 (*.f64 x x) x) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) (*.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) 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 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x)) |
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64))) (neg.f64 (*.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) x)))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64))) (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) x))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 x #s(literal -1 binary64)))) #s(literal 1 binary64)) |
(/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) |
(/.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)) (*.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))) |
(/.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) x))) |
(/.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) |
(/.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) x)) |
(/.f64 (neg.f64 (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)) |
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))) |
(/.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (fma.f64 (*.f64 x x) x #s(literal 1 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (fma.f64 (*.f64 x x) x #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64)))) |
(fma.f64 #s(literal 1 binary64) x #s(literal 1 binary64)) |
(fma.f64 x #s(literal 1 binary64) #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 (*.f64 x 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 x #s(literal 1 binary64)) #s(literal -1 binary64)) |
(-.f64 x #s(literal -1 binary64)) |
(exp.f64 (log1p.f64 x)) |
(+.f64 #s(literal 1 binary64) x) |
(+.f64 x #s(literal 1 binary64)) |
Compiled 49 311 to 3 711 computations (92.5% saved)
6 alts after pruning (3 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 683 | 3 | 1 686 |
| Fresh | 1 | 0 | 1 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 686 | 6 | 1 692 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 53.2% | (/.f64 #s(approx (/ (- (- (- x 1) x) 1) (- x 1)) #s(literal 2 binary64)) (-.f64 x #s(literal -1 binary64))) |
| ▶ | 99.8% | (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 x x #s(literal -1 binary64))) |
| ✓ | 51.6% | #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64))) |
| ▶ | 49.4% | #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal -2 binary64) x) x)) |
| ✓ | 49.3% | #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) (*.f64 x x))) |
| ✓ | 52.1% | #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(literal 2 binary64)) |
Compiled 40 to 24 computations (40% saved)
| 1× | egg-herbie |
Found 9 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 x #s(literal -1 binary64)) | |
| cost-diff | 0 | #s(approx (/ (- (- (- x 1) x) 1) (- x 1)) #s(literal 2 binary64)) | |
| cost-diff | 0 | (/.f64 #s(approx (/ (- (- (- x 1) x) 1) (- x 1)) #s(literal 2 binary64)) (-.f64 x #s(literal -1 binary64))) | |
| cost-diff | 0 | (fma.f64 x x #s(literal -1 binary64)) | |
| cost-diff | 0 | #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) | |
| cost-diff | 0 | (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 x x #s(literal -1 binary64))) | |
| cost-diff | 0 | (/.f64 #s(literal -2 binary64) x) | |
| cost-diff | 0 | #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal -2 binary64) x) x)) | |
| cost-diff | 384 | (/.f64 (/.f64 #s(literal -2 binary64) x) x) |
| 12 946× | lower-fma.f32 |
| 12 944× | lower-fma.f64 |
| 2 422× | lower-*.f64 |
| 2 422× | lower-*.f32 |
| 2 132× | lower--.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 22 | 93 |
| 0 | 29 | 93 |
| 1 | 49 | 93 |
| 2 | 102 | 69 |
| 3 | 231 | 69 |
| 4 | 416 | 69 |
| 5 | 1014 | 69 |
| 6 | 3214 | 69 |
| 7 | 5025 | 69 |
| 8 | 6655 | 69 |
| 9 | 7422 | 69 |
| 10 | 7819 | 69 |
| 0 | 8037 | 69 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal -2 binary64) x) x)) |
(/.f64 (/.f64 #s(literal -2 binary64) x) x) |
(/.f64 #s(literal -2 binary64) x) |
#s(literal -2 binary64) |
x |
(/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 x x #s(literal -1 binary64))) |
#s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) |
#s(literal -2 binary64) |
(fma.f64 x x #s(literal -1 binary64)) |
x |
#s(literal -1 binary64) |
(/.f64 #s(approx (/ (- (- (- x 1) x) 1) (- x 1)) #s(literal 2 binary64)) (-.f64 x #s(literal -1 binary64))) |
#s(approx (/ (- (- (- x 1) x) 1) (- x 1)) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(-.f64 x #s(literal -1 binary64)) |
x |
#s(literal -1 binary64) |
| Outputs |
|---|
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal -2 binary64) x) x)) |
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) (*.f64 x x))) |
(/.f64 (/.f64 #s(literal -2 binary64) x) x) |
(/.f64 #s(literal -2 binary64) (*.f64 x x)) |
(/.f64 #s(literal -2 binary64) x) |
#s(literal -2 binary64) |
x |
(/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 x x #s(literal -1 binary64))) |
#s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) |
#s(literal -2 binary64) |
(fma.f64 x x #s(literal -1 binary64)) |
x |
#s(literal -1 binary64) |
(/.f64 #s(approx (/ (- (- (- x 1) x) 1) (- x 1)) #s(literal 2 binary64)) (-.f64 x #s(literal -1 binary64))) |
#s(approx (/ (- (- (- x 1) x) 1) (- x 1)) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(-.f64 x #s(literal -1 binary64)) |
x |
#s(literal -1 binary64) |
Found 9 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (-.f64 x #s(literal -1 binary64)) | |
| accuracy | 0.0703125 | (/.f64 #s(approx (/ (- (- (- x 1) x) 1) (- x 1)) #s(literal 2 binary64)) (-.f64 x #s(literal -1 binary64))) | |
| accuracy | 30.92320907100884 | #s(approx (/ (- (- (- x 1) x) 1) (- x 1)) #s(literal 2 binary64)) | |
| accuracy | 0 | (fma.f64 x x #s(literal -1 binary64)) | |
| accuracy | 0 | #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) | |
| accuracy | 0.10324318953124967 | (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 x x #s(literal -1 binary64))) | |
| accuracy | 0 | (/.f64 #s(literal -2 binary64) x) | |
| accuracy | 0.15234375 | (/.f64 (/.f64 #s(literal -2 binary64) x) x) | |
| accuracy | 32.33751640131248 | #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal -2 binary64) x) x)) |
| 97.0ms | 125× | 1 | valid |
| 16.0ms | 131× | 0 | valid |
Compiled 83 to 22 computations (73.5% saved)
ival-div: 36.0ms (36% of total)ival-sub: 33.0ms (33% of total)adjust: 24.0ms (24% of total)ival-add: 4.0ms (4% of total)ival-mult: 2.0ms (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 (/.f64 (/.f64 #s(literal -2 binary64) x) x) (patch (/.f64 (/.f64 #s(literal -2 binary64) x) x) #<representation binary64>) () ()) |
#s(alt #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal -2 binary64) x) x)) (patch #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal -2 binary64) x) x)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal -2 binary64) x) (patch (/.f64 #s(literal -2 binary64) x) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 x x #s(literal -1 binary64))) (patch (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 x x #s(literal -1 binary64))) #<representation binary64>) () ()) |
#s(alt #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (patch #s(approx (- (- (- x 1) x) 1) #s(literal -2 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 #s(approx (/ (- (- (- x 1) x) 1) (- x 1)) #s(literal 2 binary64)) (-.f64 x #s(literal -1 binary64))) (patch (/.f64 #s(approx (/ (- (- (- x 1) x) 1) (- x 1)) #s(literal 2 binary64)) (-.f64 x #s(literal -1 binary64))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- (- (- x 1) x) 1) (- x 1)) #s(literal 2 binary64)) (patch #s(approx (/ (- (- (- x 1) x) 1) (- x 1)) #s(literal 2 binary64)) #<representation binary64>) () ()) |
#s(alt (-.f64 x #s(literal -1 binary64)) (patch (-.f64 x #s(literal -1 binary64)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (/ -2 (pow x 2)) (taylor 0 x) (#s(alt (/.f64 (/.f64 #s(literal -2 binary64) x) x) (patch (/.f64 (/.f64 #s(literal -2 binary64) x) x) #<representation binary64>) () ())) ()) |
#s(alt (/ -2 (pow x 2)) (taylor 0 x) (#s(alt (/.f64 (/.f64 #s(literal -2 binary64) x) x) (patch (/.f64 (/.f64 #s(literal -2 binary64) x) x) #<representation binary64>) () ())) ()) |
#s(alt (/ -2 (pow x 2)) (taylor 0 x) (#s(alt (/.f64 (/.f64 #s(literal -2 binary64) x) x) (patch (/.f64 (/.f64 #s(literal -2 binary64) x) x) #<representation binary64>) () ())) ()) |
#s(alt (/ -2 (pow x 2)) (taylor 0 x) (#s(alt (/.f64 (/.f64 #s(literal -2 binary64) x) x) (patch (/.f64 (/.f64 #s(literal -2 binary64) x) x) #<representation binary64>) () ())) ()) |
#s(alt 2 (taylor 0 x) (#s(alt #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal -2 binary64) x) x)) (patch #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal -2 binary64) x) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ 2 (* 2 (pow x 2))) (taylor 0 x) (#s(alt #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal -2 binary64) x) x)) (patch #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal -2 binary64) x) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))) (taylor 0 x) (#s(alt #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal -2 binary64) x) x)) (patch #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal -2 binary64) x) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))))) (taylor 0 x) (#s(alt #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal -2 binary64) x) x)) (patch #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal -2 binary64) x) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ -2 x) (taylor 0 x) (#s(alt (/.f64 #s(literal -2 binary64) x) (patch (/.f64 #s(literal -2 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ -2 x) (taylor 0 x) (#s(alt (/.f64 #s(literal -2 binary64) x) (patch (/.f64 #s(literal -2 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ -2 x) (taylor 0 x) (#s(alt (/.f64 #s(literal -2 binary64) x) (patch (/.f64 #s(literal -2 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ -2 x) (taylor 0 x) (#s(alt (/.f64 #s(literal -2 binary64) x) (patch (/.f64 #s(literal -2 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt 2 (taylor 0 x) (#s(alt (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 x x #s(literal -1 binary64))) (patch (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 x x #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 2 (* 2 (pow x 2))) (taylor 0 x) (#s(alt (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 x x #s(literal -1 binary64))) (patch (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 x x #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))) (taylor 0 x) (#s(alt (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 x x #s(literal -1 binary64))) (patch (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 x x #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))))) (taylor 0 x) (#s(alt (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 x x #s(literal -1 binary64))) (patch (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 x x #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt -2 (taylor 0 x) (#s(alt #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (patch #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt -2 (taylor 0 x) (#s(alt #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (patch #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt -2 (taylor 0 x) (#s(alt #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (patch #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt -2 (taylor 0 x) (#s(alt #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (patch #s(approx (- (- (- x 1) x) 1) #s(literal -2 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 2 (taylor 0 x) (#s(alt (/.f64 #s(approx (/ (- (- (- x 1) x) 1) (- x 1)) #s(literal 2 binary64)) (-.f64 x #s(literal -1 binary64))) (patch (/.f64 #s(approx (/ (- (- (- x 1) x) 1) (- x 1)) #s(literal 2 binary64)) (-.f64 x #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 2 (* 2 (pow x 2))) (taylor 0 x) (#s(alt (/.f64 #s(approx (/ (- (- (- x 1) x) 1) (- x 1)) #s(literal 2 binary64)) (-.f64 x #s(literal -1 binary64))) (patch (/.f64 #s(approx (/ (- (- (- x 1) x) 1) (- x 1)) #s(literal 2 binary64)) (-.f64 x #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))) (taylor 0 x) (#s(alt (/.f64 #s(approx (/ (- (- (- x 1) x) 1) (- x 1)) #s(literal 2 binary64)) (-.f64 x #s(literal -1 binary64))) (patch (/.f64 #s(approx (/ (- (- (- x 1) x) 1) (- x 1)) #s(literal 2 binary64)) (-.f64 x #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))))) (taylor 0 x) (#s(alt (/.f64 #s(approx (/ (- (- (- x 1) x) 1) (- x 1)) #s(literal 2 binary64)) (-.f64 x #s(literal -1 binary64))) (patch (/.f64 #s(approx (/ (- (- (- x 1) x) 1) (- x 1)) #s(literal 2 binary64)) (-.f64 x #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt 2 (taylor 0 x) (#s(alt #s(approx (/ (- (- (- x 1) x) 1) (- x 1)) #s(literal 2 binary64)) (patch #s(approx (/ (- (- (- x 1) x) 1) (- x 1)) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 2 (* 2 x)) (taylor 0 x) (#s(alt #s(approx (/ (- (- (- x 1) x) 1) (- x 1)) #s(literal 2 binary64)) (patch #s(approx (/ (- (- (- x 1) x) 1) (- x 1)) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 2 (* x (+ 2 (* 2 x)))) (taylor 0 x) (#s(alt #s(approx (/ (- (- (- x 1) x) 1) (- x 1)) #s(literal 2 binary64)) (patch #s(approx (/ (- (- (- x 1) x) 1) (- x 1)) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 2 (* x (+ 2 (* x (+ 2 (* 2 x)))))) (taylor 0 x) (#s(alt #s(approx (/ (- (- (- x 1) x) 1) (- x 1)) #s(literal 2 binary64)) (patch #s(approx (/ (- (- (- x 1) x) 1) (- x 1)) #s(literal 2 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 (/ -2 (pow x 2)) (taylor inf x) (#s(alt (/.f64 (/.f64 #s(literal -2 binary64) x) x) (patch (/.f64 (/.f64 #s(literal -2 binary64) x) x) #<representation binary64>) () ())) ()) |
#s(alt (/ -2 (pow x 2)) (taylor inf x) (#s(alt (/.f64 (/.f64 #s(literal -2 binary64) x) x) (patch (/.f64 (/.f64 #s(literal -2 binary64) x) x) #<representation binary64>) () ())) ()) |
#s(alt (/ -2 (pow x 2)) (taylor inf x) (#s(alt (/.f64 (/.f64 #s(literal -2 binary64) x) x) (patch (/.f64 (/.f64 #s(literal -2 binary64) x) x) #<representation binary64>) () ())) ()) |
#s(alt (/ -2 (pow x 2)) (taylor inf x) (#s(alt (/.f64 (/.f64 #s(literal -2 binary64) x) x) (patch (/.f64 (/.f64 #s(literal -2 binary64) x) x) #<representation binary64>) () ())) ()) |
#s(alt (/ -2 (pow x 2)) (taylor inf x) (#s(alt #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal -2 binary64) x) x)) (patch #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal -2 binary64) x) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) (taylor inf x) (#s(alt #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal -2 binary64) x) x)) (patch #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal -2 binary64) x) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2)) (taylor inf x) (#s(alt #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal -2 binary64) x) x)) (patch #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal -2 binary64) x) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2)) (taylor inf x) (#s(alt #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal -2 binary64) x) x)) (patch #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal -2 binary64) x) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ -2 x) (taylor inf x) (#s(alt (/.f64 #s(literal -2 binary64) x) (patch (/.f64 #s(literal -2 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ -2 x) (taylor inf x) (#s(alt (/.f64 #s(literal -2 binary64) x) (patch (/.f64 #s(literal -2 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ -2 x) (taylor inf x) (#s(alt (/.f64 #s(literal -2 binary64) x) (patch (/.f64 #s(literal -2 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ -2 x) (taylor inf x) (#s(alt (/.f64 #s(literal -2 binary64) x) (patch (/.f64 #s(literal -2 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ -2 (pow x 2)) (taylor inf x) (#s(alt (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 x x #s(literal -1 binary64))) (patch (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 x x #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) (taylor inf x) (#s(alt (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 x x #s(literal -1 binary64))) (patch (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 x x #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2)) (taylor inf x) (#s(alt (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 x x #s(literal -1 binary64))) (patch (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 x x #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2)) (taylor inf x) (#s(alt (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 x x #s(literal -1 binary64))) (patch (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 x x #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt -2 (taylor inf x) (#s(alt #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (patch #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt -2 (taylor inf x) (#s(alt #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (patch #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt -2 (taylor inf x) (#s(alt #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (patch #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt -2 (taylor inf x) (#s(alt #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (patch #s(approx (- (- (- x 1) x) 1) #s(literal -2 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 (/ -2 (pow x 2)) (taylor inf x) (#s(alt (/.f64 #s(approx (/ (- (- (- x 1) x) 1) (- x 1)) #s(literal 2 binary64)) (-.f64 x #s(literal -1 binary64))) (patch (/.f64 #s(approx (/ (- (- (- x 1) x) 1) (- x 1)) #s(literal 2 binary64)) (-.f64 x #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) (taylor inf x) (#s(alt (/.f64 #s(approx (/ (- (- (- x 1) x) 1) (- x 1)) #s(literal 2 binary64)) (-.f64 x #s(literal -1 binary64))) (patch (/.f64 #s(approx (/ (- (- (- x 1) x) 1) (- x 1)) #s(literal 2 binary64)) (-.f64 x #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2)) (taylor inf x) (#s(alt (/.f64 #s(approx (/ (- (- (- x 1) x) 1) (- x 1)) #s(literal 2 binary64)) (-.f64 x #s(literal -1 binary64))) (patch (/.f64 #s(approx (/ (- (- (- x 1) x) 1) (- x 1)) #s(literal 2 binary64)) (-.f64 x #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2)) (taylor inf x) (#s(alt (/.f64 #s(approx (/ (- (- (- x 1) x) 1) (- x 1)) #s(literal 2 binary64)) (-.f64 x #s(literal -1 binary64))) (patch (/.f64 #s(approx (/ (- (- (- x 1) x) 1) (- x 1)) #s(literal 2 binary64)) (-.f64 x #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ -2 x) (taylor inf x) (#s(alt #s(approx (/ (- (- (- x 1) x) 1) (- x 1)) #s(literal 2 binary64)) (patch #s(approx (/ (- (- (- x 1) x) 1) (- x 1)) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) (taylor inf x) (#s(alt #s(approx (/ (- (- (- x 1) x) 1) (- x 1)) #s(literal 2 binary64)) (patch #s(approx (/ (- (- (- x 1) x) 1) (- x 1)) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) x) (taylor inf x) (#s(alt #s(approx (/ (- (- (- x 1) x) 1) (- x 1)) #s(literal 2 binary64)) (patch #s(approx (/ (- (- (- x 1) x) 1) (- x 1)) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 2 (* 2 (/ 1 x)))) x) (taylor inf x) (#s(alt #s(approx (/ (- (- (- x 1) x) 1) (- x 1)) #s(literal 2 binary64)) (patch #s(approx (/ (- (- (- x 1) x) 1) (- x 1)) #s(literal 2 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 (/ -2 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 (/.f64 #s(literal -2 binary64) x) x) (patch (/.f64 (/.f64 #s(literal -2 binary64) x) x) #<representation binary64>) () ())) ()) |
#s(alt (/ -2 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 (/.f64 #s(literal -2 binary64) x) x) (patch (/.f64 (/.f64 #s(literal -2 binary64) x) x) #<representation binary64>) () ())) ()) |
#s(alt (/ -2 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 (/.f64 #s(literal -2 binary64) x) x) (patch (/.f64 (/.f64 #s(literal -2 binary64) x) x) #<representation binary64>) () ())) ()) |
#s(alt (/ -2 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 (/.f64 #s(literal -2 binary64) x) x) (patch (/.f64 (/.f64 #s(literal -2 binary64) x) x) #<representation binary64>) () ())) ()) |
#s(alt (/ -2 (pow x 2)) (taylor -inf x) (#s(alt #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal -2 binary64) x) x)) (patch #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal -2 binary64) x) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) (taylor -inf x) (#s(alt #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal -2 binary64) x) x)) (patch #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal -2 binary64) x) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2)) (taylor -inf x) (#s(alt #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal -2 binary64) x) x)) (patch #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal -2 binary64) x) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2)) (taylor -inf x) (#s(alt #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal -2 binary64) x) x)) (patch #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal -2 binary64) x) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ -2 x) (taylor -inf x) (#s(alt (/.f64 #s(literal -2 binary64) x) (patch (/.f64 #s(literal -2 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ -2 x) (taylor -inf x) (#s(alt (/.f64 #s(literal -2 binary64) x) (patch (/.f64 #s(literal -2 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ -2 x) (taylor -inf x) (#s(alt (/.f64 #s(literal -2 binary64) x) (patch (/.f64 #s(literal -2 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ -2 x) (taylor -inf x) (#s(alt (/.f64 #s(literal -2 binary64) x) (patch (/.f64 #s(literal -2 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ -2 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 x x #s(literal -1 binary64))) (patch (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 x x #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) (taylor -inf x) (#s(alt (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 x x #s(literal -1 binary64))) (patch (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 x x #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 x x #s(literal -1 binary64))) (patch (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 x x #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 x x #s(literal -1 binary64))) (patch (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 x x #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt -2 (taylor -inf x) (#s(alt #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (patch #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt -2 (taylor -inf x) (#s(alt #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (patch #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt -2 (taylor -inf x) (#s(alt #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (patch #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt -2 (taylor -inf x) (#s(alt #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (patch #s(approx (- (- (- x 1) x) 1) #s(literal -2 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 (/ -2 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(approx (/ (- (- (- x 1) x) 1) (- x 1)) #s(literal 2 binary64)) (-.f64 x #s(literal -1 binary64))) (patch (/.f64 #s(approx (/ (- (- (- x 1) x) 1) (- x 1)) #s(literal 2 binary64)) (-.f64 x #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) (taylor -inf x) (#s(alt (/.f64 #s(approx (/ (- (- (- x 1) x) 1) (- x 1)) #s(literal 2 binary64)) (-.f64 x #s(literal -1 binary64))) (patch (/.f64 #s(approx (/ (- (- (- x 1) x) 1) (- x 1)) #s(literal 2 binary64)) (-.f64 x #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(approx (/ (- (- (- x 1) x) 1) (- x 1)) #s(literal 2 binary64)) (-.f64 x #s(literal -1 binary64))) (patch (/.f64 #s(approx (/ (- (- (- x 1) x) 1) (- x 1)) #s(literal 2 binary64)) (-.f64 x #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(approx (/ (- (- (- x 1) x) 1) (- x 1)) #s(literal 2 binary64)) (-.f64 x #s(literal -1 binary64))) (patch (/.f64 #s(approx (/ (- (- (- x 1) x) 1) (- x 1)) #s(literal 2 binary64)) (-.f64 x #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ -2 x) (taylor -inf x) (#s(alt #s(approx (/ (- (- (- x 1) x) 1) (- x 1)) #s(literal 2 binary64)) (patch #s(approx (/ (- (- (- x 1) x) 1) (- x 1)) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) (taylor -inf x) (#s(alt #s(approx (/ (- (- (- x 1) x) 1) (- x 1)) #s(literal 2 binary64)) (patch #s(approx (/ (- (- (- x 1) x) 1) (- x 1)) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) (taylor -inf x) (#s(alt #s(approx (/ (- (- (- x 1) x) 1) (- x 1)) #s(literal 2 binary64)) (patch #s(approx (/ (- (- (- x 1) x) 1) (- x 1)) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ 2 (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) x))) x)) (taylor -inf x) (#s(alt #s(approx (/ (- (- (- x 1) x) 1) (- x 1)) #s(literal 2 binary64)) (patch #s(approx (/ (- (- (- x 1) x) 1) (- x 1)) #s(literal 2 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>) () ())) ()) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | ((/ (/ -2 x) x) (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/ -2 x) (/ (- (- (- x 1) x) 1) (+ (* x x) -1)) (- (- (- x 1) x) 1) (+ (* x x) -1) (/ (/ (- (- (- x 1) x) 1) (- x 1)) (- x -1)) (/ (- (- (- x 1) x) 1) (- x 1)) (- x -1)) |
| 1.0ms | x | @ | -inf | ((/ (/ -2 x) x) (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/ -2 x) (/ (- (- (- x 1) x) 1) (+ (* x x) -1)) (- (- (- x 1) x) 1) (+ (* x x) -1) (/ (/ (- (- (- x 1) x) 1) (- x 1)) (- x -1)) (/ (- (- (- x 1) x) 1) (- x 1)) (- x -1)) |
| 1.0ms | x | @ | 0 | ((/ (/ -2 x) x) (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/ -2 x) (/ (- (- (- x 1) x) 1) (+ (* x x) -1)) (- (- (- x 1) x) 1) (+ (* x x) -1) (/ (/ (- (- (- x 1) x) 1) (- x 1)) (- x -1)) (/ (- (- (- x 1) x) 1) (- x 1)) (- x -1)) |
| 1× | egg-herbie |
| 14 744× | lower-fma.f64 |
| 14 744× | lower-fma.f32 |
| 4 302× | lower-*.f64 |
| 4 302× | lower-*.f32 |
| 2 042× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 59 | 774 |
| 1 | 166 | 770 |
| 2 | 448 | 720 |
| 3 | 1294 | 696 |
| 4 | 4017 | 696 |
| 0 | 8139 | 667 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ -2 (pow x 2)) |
(/ -2 (pow x 2)) |
(/ -2 (pow x 2)) |
(/ -2 (pow x 2)) |
2 |
(+ 2 (* 2 (pow x 2))) |
(+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))) |
(+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))))) |
(/ -2 x) |
(/ -2 x) |
(/ -2 x) |
(/ -2 x) |
2 |
(+ 2 (* 2 (pow x 2))) |
(+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))) |
(+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))))) |
-2 |
-2 |
-2 |
-2 |
-1 |
(- (pow x 2) 1) |
(- (pow x 2) 1) |
(- (pow x 2) 1) |
2 |
(+ 2 (* 2 (pow x 2))) |
(+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))) |
(+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))))) |
2 |
(+ 2 (* 2 x)) |
(+ 2 (* x (+ 2 (* 2 x)))) |
(+ 2 (* x (+ 2 (* x (+ 2 (* 2 x)))))) |
1 |
(+ 1 x) |
(+ 1 x) |
(+ 1 x) |
(/ -2 (pow x 2)) |
(/ -2 (pow x 2)) |
(/ -2 (pow x 2)) |
(/ -2 (pow x 2)) |
(/ -2 (pow x 2)) |
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) |
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2)) |
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2)) |
(/ -2 x) |
(/ -2 x) |
(/ -2 x) |
(/ -2 x) |
(/ -2 (pow x 2)) |
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) |
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2)) |
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2)) |
-2 |
-2 |
-2 |
-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)))) |
(/ -2 (pow x 2)) |
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) |
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2)) |
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2)) |
(/ -2 x) |
(* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) |
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) x) |
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 2 (* 2 (/ 1 x)))) x) |
x |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(/ -2 (pow x 2)) |
(/ -2 (pow x 2)) |
(/ -2 (pow x 2)) |
(/ -2 (pow x 2)) |
(/ -2 (pow x 2)) |
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) |
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2)) |
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2)) |
(/ -2 x) |
(/ -2 x) |
(/ -2 x) |
(/ -2 x) |
(/ -2 (pow x 2)) |
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) |
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2)) |
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2)) |
-2 |
-2 |
-2 |
-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)))) |
(/ -2 (pow x 2)) |
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) |
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2)) |
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2)) |
(/ -2 x) |
(* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) |
(* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) |
(* -1 (/ (+ 2 (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) x))) x)) |
x |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
| Outputs |
|---|
(/ -2 (pow x 2)) |
(/.f64 #s(literal -2 binary64) (*.f64 x x)) |
(/ -2 (pow x 2)) |
(/.f64 #s(literal -2 binary64) (*.f64 x x)) |
(/ -2 (pow x 2)) |
(/.f64 #s(literal -2 binary64) (*.f64 x x)) |
(/ -2 (pow x 2)) |
(/.f64 #s(literal -2 binary64) (*.f64 x x)) |
2 |
#s(literal 2 binary64) |
(+ 2 (* 2 (pow x 2))) |
(fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)) |
(+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))) |
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 x x) #s(literal 2 binary64)) |
(+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))))) |
(*.f64 (fma.f64 (*.f64 (*.f64 x x) x) x #s(literal 1 binary64)) (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64))) |
(/ -2 x) |
(/.f64 #s(literal -2 binary64) x) |
(/ -2 x) |
(/.f64 #s(literal -2 binary64) x) |
(/ -2 x) |
(/.f64 #s(literal -2 binary64) x) |
(/ -2 x) |
(/.f64 #s(literal -2 binary64) x) |
2 |
#s(literal 2 binary64) |
(+ 2 (* 2 (pow x 2))) |
(fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)) |
(+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))) |
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 x x) #s(literal 2 binary64)) |
(+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))))) |
(*.f64 (fma.f64 (*.f64 (*.f64 x x) x) x #s(literal 1 binary64)) (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64))) |
-2 |
#s(literal -2 binary64) |
-2 |
#s(literal -2 binary64) |
-2 |
#s(literal -2 binary64) |
-2 |
#s(literal -2 binary64) |
-1 |
#s(literal -1 binary64) |
(- (pow x 2) 1) |
(fma.f64 x x #s(literal -1 binary64)) |
(- (pow x 2) 1) |
(fma.f64 x x #s(literal -1 binary64)) |
(- (pow x 2) 1) |
(fma.f64 x x #s(literal -1 binary64)) |
2 |
#s(literal 2 binary64) |
(+ 2 (* 2 (pow x 2))) |
(fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)) |
(+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))) |
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 x x) #s(literal 2 binary64)) |
(+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))))) |
(*.f64 (fma.f64 (*.f64 (*.f64 x x) x) x #s(literal 1 binary64)) (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64))) |
2 |
#s(literal 2 binary64) |
(+ 2 (* 2 x)) |
(fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) |
(+ 2 (* x (+ 2 (* 2 x)))) |
(fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) x #s(literal 2 binary64)) |
(+ 2 (* x (+ 2 (* x (+ 2 (* 2 x)))))) |
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))) |
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) |
(/ -2 (pow x 2)) |
(/.f64 #s(literal -2 binary64) (*.f64 x x)) |
(/ -2 (pow x 2)) |
(/.f64 #s(literal -2 binary64) (*.f64 x x)) |
(/ -2 (pow x 2)) |
(/.f64 #s(literal -2 binary64) (*.f64 x x)) |
(/ -2 (pow x 2)) |
(/.f64 #s(literal -2 binary64) (*.f64 x x)) |
(/ -2 (pow x 2)) |
(/.f64 #s(literal -2 binary64) (*.f64 x x)) |
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) |
(/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x x)) |
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2)) |
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 x x)) |
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2)) |
(*.f64 (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x x)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal -2 binary64))) |
(/ -2 x) |
(/.f64 #s(literal -2 binary64) x) |
(/ -2 x) |
(/.f64 #s(literal -2 binary64) x) |
(/ -2 x) |
(/.f64 #s(literal -2 binary64) x) |
(/ -2 x) |
(/.f64 #s(literal -2 binary64) x) |
(/ -2 (pow x 2)) |
(/.f64 #s(literal -2 binary64) (*.f64 x x)) |
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) |
(/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x x)) |
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2)) |
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 x x)) |
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2)) |
(*.f64 (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x x)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal -2 binary64))) |
-2 |
#s(literal -2 binary64) |
-2 |
#s(literal -2 binary64) |
-2 |
#s(literal -2 binary64) |
-2 |
#s(literal -2 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)) |
(/ -2 (pow x 2)) |
(/.f64 #s(literal -2 binary64) (*.f64 x x)) |
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) |
(/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x x)) |
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2)) |
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 x x)) |
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2)) |
(*.f64 (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x x)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal -2 binary64))) |
(/ -2 x) |
(/.f64 #s(literal -2 binary64) x) |
(* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) |
(/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) x)) x) |
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) x) |
(/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -2 binary64)) x)) x) |
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 2 (* 2 (/ 1 x)))) x) |
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) (*.f64 x x))) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -2 binary64))) |
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) |
(/ -2 (pow x 2)) |
(/.f64 #s(literal -2 binary64) (*.f64 x x)) |
(/ -2 (pow x 2)) |
(/.f64 #s(literal -2 binary64) (*.f64 x x)) |
(/ -2 (pow x 2)) |
(/.f64 #s(literal -2 binary64) (*.f64 x x)) |
(/ -2 (pow x 2)) |
(/.f64 #s(literal -2 binary64) (*.f64 x x)) |
(/ -2 (pow x 2)) |
(/.f64 #s(literal -2 binary64) (*.f64 x x)) |
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) |
(/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x x)) |
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2)) |
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 x x)) |
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2)) |
(*.f64 (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x x)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal -2 binary64))) |
(/ -2 x) |
(/.f64 #s(literal -2 binary64) x) |
(/ -2 x) |
(/.f64 #s(literal -2 binary64) x) |
(/ -2 x) |
(/.f64 #s(literal -2 binary64) x) |
(/ -2 x) |
(/.f64 #s(literal -2 binary64) x) |
(/ -2 (pow x 2)) |
(/.f64 #s(literal -2 binary64) (*.f64 x x)) |
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) |
(/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x x)) |
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2)) |
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 x x)) |
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2)) |
(*.f64 (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x x)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal -2 binary64))) |
-2 |
#s(literal -2 binary64) |
-2 |
#s(literal -2 binary64) |
-2 |
#s(literal -2 binary64) |
-2 |
#s(literal -2 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)) |
(/ -2 (pow x 2)) |
(/.f64 #s(literal -2 binary64) (*.f64 x x)) |
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) |
(/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x x)) |
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2)) |
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 x x)) |
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2)) |
(*.f64 (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x x)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal -2 binary64))) |
(/ -2 x) |
(/.f64 #s(literal -2 binary64) x) |
(* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) |
(/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) x)) x) |
(* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) |
(/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -2 binary64)) x)) x) |
(* -1 (/ (+ 2 (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) x))) x)) |
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) (*.f64 x x))) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -2 binary64))) |
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) |
| 7 084× | lower-fma.f32 |
| 7 082× | lower-fma.f64 |
| 6 252× | lower-/.f32 |
| 6 244× | lower-/.f64 |
| 5 072× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 22 | 85 |
| 0 | 29 | 85 |
| 1 | 166 | 85 |
| 2 | 1531 | 85 |
| 0 | 9301 | 84 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (/.f64 #s(literal -2 binary64) x) x) |
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal -2 binary64) x) x)) |
(/.f64 #s(literal -2 binary64) x) |
(/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 x x #s(literal -1 binary64))) |
#s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) |
(fma.f64 x x #s(literal -1 binary64)) |
(/.f64 #s(approx (/ (- (- (- x 1) x) 1) (- x 1)) #s(literal 2 binary64)) (-.f64 x #s(literal -1 binary64))) |
#s(approx (/ (- (- (- x 1) x) 1) (- x 1)) #s(literal 2 binary64)) |
(-.f64 x #s(literal -1 binary64)) |
| Outputs |
|---|
(*.f64 (/.f64 (/.f64 #s(literal -2 binary64) x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (/.f64 #s(literal -2 binary64) x) #s(literal -1 binary64))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (/.f64 #s(literal -2 binary64) x)) |
(*.f64 (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 x))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal -2 binary64)) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 #s(literal -2 binary64) x) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -2 binary64) x)) |
(*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 1 binary64) (neg.f64 x))) |
(*.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) x)) |
(*.f64 #s(literal 2 binary64) (/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x)) x)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) |
(*.f64 (/.f64 #s(literal -2 binary64) (*.f64 x x)) #s(literal 1 binary64)) |
(*.f64 (/.f64 #s(literal -2 binary64) x) (/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -2 binary64) x) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal -2 binary64) x) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 #s(literal -2 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) |
(*.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(pow.f64 (/.f64 (*.f64 (*.f64 x #s(literal -1/2 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 x x) #s(literal -2 binary64)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (*.f64 x #s(literal -1/2 binary64)) x) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal -2 binary64) x) #s(literal 1 binary64))) (neg.f64 x)) |
(/.f64 (*.f64 (/.f64 #s(literal -2 binary64) x) #s(literal 1 binary64)) x) |
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x)) (neg.f64 (*.f64 x #s(literal -1/2 binary64)))) |
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal -1/2 binary64))) |
(/.f64 (/.f64 #s(literal 2 binary64) x) (neg.f64 (neg.f64 (neg.f64 x)))) |
(/.f64 (/.f64 #s(literal 2 binary64) x) (neg.f64 x)) |
(/.f64 #s(literal 2 binary64) (neg.f64 (*.f64 x x))) |
(/.f64 #s(literal 2 binary64) (*.f64 (neg.f64 x) x)) |
(/.f64 #s(literal 2 binary64) (*.f64 x (neg.f64 x))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (*.f64 x #s(literal -1/2 binary64)) x) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 x x) #s(literal -2 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 x #s(literal -1/2 binary64)) x))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 (*.f64 x #s(literal -1/2 binary64)) x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x #s(literal -1/2 binary64)) x) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) #s(literal -2 binary64))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal -1/2 binary64)) x)) |
(/.f64 (/.f64 #s(literal -2 binary64) x) (neg.f64 (neg.f64 x))) |
(/.f64 (/.f64 #s(literal -2 binary64) x) x) |
(/.f64 #s(literal -2 binary64) (neg.f64 (neg.f64 (*.f64 x x)))) |
(/.f64 #s(literal -2 binary64) (neg.f64 (*.f64 (neg.f64 x) x))) |
(/.f64 #s(literal -2 binary64) (neg.f64 (*.f64 x (neg.f64 x)))) |
(/.f64 #s(literal -2 binary64) (*.f64 x x)) |
(neg.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 x)) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 x #s(literal -1/2 binary64)) x)) #s(literal -1 binary64))) |
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) (*.f64 x x))) |
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)) |
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 x))) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) x)) |
(*.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) x)) |
(pow.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) |
(/.f64 #s(literal 2 binary64) (neg.f64 (neg.f64 (neg.f64 x)))) |
(/.f64 #s(literal 2 binary64) (neg.f64 x)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x #s(literal -1/2 binary64)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 x #s(literal -1/2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))) |
(/.f64 #s(literal -2 binary64) (neg.f64 (neg.f64 x))) |
(/.f64 #s(literal -2 binary64) x) |
(neg.f64 (/.f64 #s(literal 2 binary64) x)) |
(exp.f64 (*.f64 (log.f64 (*.f64 x #s(literal -1/2 binary64))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (-.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64)))) |
(*.f64 (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 (*.f64 (*.f64 x x) x) x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))) |
(*.f64 (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 (*.f64 (*.f64 x x) x) x #s(literal -1 binary64))) (fma.f64 x x #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 x x) x) x (-.f64 #s(literal 1 binary64) (*.f64 x (neg.f64 x))))))) |
(*.f64 (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x) #s(literal -1 binary64))) (fma.f64 (*.f64 (*.f64 x x) x) x (-.f64 #s(literal 1 binary64) (*.f64 x (neg.f64 x))))) |
(*.f64 (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (-.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal -1 binary64))) (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) x))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64))) |
(*.f64 (neg.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x x #s(literal -1 binary64))))) |
(*.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))) (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (-.f64 x #s(literal 1 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))) (pow.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64))) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 x x #s(literal -1 binary64)))) |
(pow.f64 (/.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (-.f64 x #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) x)) |
(/.f64 (neg.f64 (*.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 x x #s(literal -1 binary64)))) |
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(/.f64 (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (-.f64 x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64))) |
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(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal -1 binary64)) #s(approx (/ (- (- (- x 1) x) 1) (- x 1)) #s(literal 2 binary64)))) |
(neg.f64 (/.f64 (neg.f64 #s(approx (/ (- (- (- x 1) x) 1) (- x 1)) #s(literal 2 binary64))) (-.f64 x #s(literal -1 binary64)))) |
(neg.f64 (/.f64 #s(approx (/ (- (- (- x 1) x) 1) (- x 1)) #s(literal 2 binary64)) (+.f64 (neg.f64 x) #s(literal -1 binary64)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 (neg.f64 x) #s(literal -1 binary64))) (/.f64 #s(approx (/ (- (- (- x 1) x) 1) (- x 1)) #s(literal 2 binary64)) (+.f64 (neg.f64 x) #s(literal -1 binary64)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) #s(approx (/ (- (- (- x 1) x) 1) (- x 1)) #s(literal 2 binary64)))) #s(literal -1 binary64))) |
#s(approx (/ (- (- (- x 1) x) 1) (- x 1)) #s(literal 2 binary64)) |
(*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 x x) x) x #s(literal -1 binary64)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 (*.f64 x x) x #s(literal 1 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))) |
(*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 x x) x) x #s(literal -1 binary64)) (fma.f64 (*.f64 x x) x #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 x #s(literal -1 binary64)))))) |
(*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x) #s(literal -1 binary64)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 (*.f64 x x) x #s(literal 1 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 x x) x) x (-.f64 #s(literal 1 binary64) (*.f64 x (neg.f64 x))))) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))) |
(*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x) #s(literal -1 binary64)) (fma.f64 (*.f64 x x) x #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 x x) x) x (-.f64 #s(literal 1 binary64) (*.f64 x (neg.f64 x))))) (/.f64 #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 (*.f64 x x) x #s(literal 1 binary64)))) (/.f64 (-.f64 x #s(literal -1 binary64)) (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 (*.f64 x x) x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))) |
(*.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 (*.f64 x x) x #s(literal 1 binary64)))) (/.f64 (-.f64 x #s(literal 1 binary64)) (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 x #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) |
(*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 x x) x) x #s(literal -1 binary64)) (/.f64 (fma.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 #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)))) |
(*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 x x) x) x #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)))) |
(*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x) #s(literal -1 binary64)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 x x) x) x (-.f64 #s(literal 1 binary64) (*.f64 x (neg.f64 x))))) (-.f64 x #s(literal 1 binary64)))) |
(*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x) #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 x x) x) x (-.f64 #s(literal 1 binary64) (*.f64 x (neg.f64 x))))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))))) |
(*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x) #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 x x) x) x (-.f64 #s(literal 1 binary64) (*.f64 x (neg.f64 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 x #s(literal -1 binary64)))) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) |
(*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 x x) x) x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64))) |
(*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x) #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 x x) x) x (-.f64 #s(literal 1 binary64) (*.f64 x (neg.f64 x))))) #s(literal 1 binary64))) |
(*.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64)))) |
(*.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 (*.f64 x x) x #s(literal -1 binary64))) (/.f64 (-.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 x #s(literal -1 binary64)))))) |
(*.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (fma.f64 (*.f64 x x) x #s(literal -1 binary64))) (/.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 x #s(literal -1 binary64)))))) |
(*.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64))) |
(*.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 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 (*.f64 x x) x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 x #s(literal -1 binary64)))))) |
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 (*.f64 x x) x #s(literal -1 binary64))) (fma.f64 x x (-.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 (fma.f64 x x #s(literal -1 binary64)) #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 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (-.f64 x #s(literal -1 binary64))) |
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))))) |
(*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) |
(*.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))) |
(*.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 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) |
(*.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))) |
(pow.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (fma.f64 (*.f64 x x) x #s(literal 1 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)) |
(pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) |
(/.f64 (neg.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x)) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (neg.f64 (-.f64 #s(literal 1 binary64) x))) |
(/.f64 (-.f64 (*.f64 (*.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)) (-.f64 #s(literal 1 binary64) x))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (neg.f64 (-.f64 #s(literal 1 binary64) x))) (-.f64 x #s(literal 1 binary64))) (*.f64 (-.f64 x #s(literal 1 binary64)) (neg.f64 (-.f64 #s(literal 1 binary64) x)))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 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 (*.f64 (*.f64 x x) x) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) (*.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) 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 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) |
(/.f64 (*.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x)) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) x))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64))) (neg.f64 (*.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) x)))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64))) (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))) |
(/.f64 (neg.f64 (+.f64 (neg.f64 x) #s(literal -1 binary64))) #s(literal 1 binary64)) |
(/.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) x)) |
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))) |
(/.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)) (*.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))) |
(/.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) x))) |
(/.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) |
(/.f64 (+.f64 (neg.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (fma.f64 (*.f64 x x) x #s(literal 1 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))))) |
(/.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (fma.f64 (*.f64 x x) x #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64)))) |
(fma.f64 #s(literal 1 binary64) x #s(literal 1 binary64)) |
(fma.f64 x #s(literal 1 binary64) #s(literal 1 binary64)) |
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (fma.f64 x x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)))) |
(-.f64 (/.f64 (*.f64 (*.f64 x x) x) (*.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) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))) |
(-.f64 (/.f64 (*.f64 (*.f64 x x) x) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) x))) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) x)))) |
(-.f64 (/.f64 (/.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))) |
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 x 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 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) x)) (+.f64 (neg.f64 x) #s(literal -1 binary64))) |
(-.f64 (/.f64 (/.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) #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 (*.f64 x 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 x #s(literal 1 binary64)) #s(literal -1 binary64)) |
(-.f64 (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x))) |
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))) |
(-.f64 x #s(literal -1 binary64)) |
(exp.f64 (log1p.f64 x)) |
(+.f64 #s(literal 1 binary64) x) |
(+.f64 x #s(literal 1 binary64)) |
Compiled 5 489 to 793 computations (85.6% saved)
7 alts after pruning (1 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 392 | 1 | 393 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 3 | 3 |
| Done | 0 | 3 | 3 |
| Total | 392 | 7 | 399 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 53.2% | (/.f64 #s(approx (/ (- (- (- x 1) x) 1) (- x 1)) #s(literal 2 binary64)) (-.f64 x #s(literal -1 binary64))) |
| ✓ | 99.8% | (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 x x #s(literal -1 binary64))) |
| ▶ | 60.1% | (*.f64 (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 (*.f64 (*.f64 x x) x) x #s(literal -1 binary64))) (fma.f64 x x #s(literal 1 binary64))) |
| ✓ | 51.6% | #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64))) |
| ✓ | 49.4% | #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal -2 binary64) x) x)) |
| ✓ | 49.3% | #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) (*.f64 x x))) |
| ✓ | 52.1% | #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(literal 2 binary64)) |
Compiled 57 to 34 computations (40.4% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 (*.f64 (*.f64 x x) x) x #s(literal -1 binary64)) | |
| cost-diff | 0 | #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) | |
| cost-diff | 0 | (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 (*.f64 (*.f64 x x) x) x #s(literal -1 binary64))) | |
| cost-diff | 1344 | (*.f64 (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 (*.f64 (*.f64 x x) x) x #s(literal -1 binary64))) (fma.f64 x x #s(literal 1 binary64))) |
| 15 306× | lower-fma.f32 |
| 15 302× | lower-fma.f64 |
| 3 452× | lower-*.f32 |
| 3 446× | lower-*.f64 |
| 2 318× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 74 |
| 0 | 21 | 74 |
| 1 | 46 | 66 |
| 2 | 107 | 57 |
| 3 | 232 | 40 |
| 4 | 539 | 40 |
| 5 | 2449 | 40 |
| 6 | 7707 | 40 |
| 0 | 8089 | 39 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 (*.f64 (*.f64 x x) x) x #s(literal -1 binary64))) (fma.f64 x x #s(literal 1 binary64))) |
(/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 (*.f64 (*.f64 x x) x) x #s(literal -1 binary64))) |
#s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) |
#s(literal -2 binary64) |
(fma.f64 (*.f64 (*.f64 x x) x) x #s(literal -1 binary64)) |
(*.f64 (*.f64 x x) x) |
(*.f64 x x) |
x |
#s(literal -1 binary64) |
(fma.f64 x x #s(literal 1 binary64)) |
#s(literal 1 binary64) |
| Outputs |
|---|
(*.f64 (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 (*.f64 (*.f64 x x) x) x #s(literal -1 binary64))) (fma.f64 x x #s(literal 1 binary64))) |
(/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 x x #s(literal -1 binary64))) |
(/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 (*.f64 (*.f64 x x) x) x #s(literal -1 binary64))) |
#s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) |
#s(literal -2 binary64) |
(fma.f64 (*.f64 (*.f64 x x) x) x #s(literal -1 binary64)) |
(*.f64 (*.f64 x x) x) |
(*.f64 x x) |
x |
#s(literal -1 binary64) |
(fma.f64 x x #s(literal 1 binary64)) |
#s(literal 1 binary64) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.01953125 | (fma.f64 (*.f64 (*.f64 x x) x) x #s(literal -1 binary64)) | |
| accuracy | 0.0703125 | (*.f64 (*.f64 x x) x) | |
| accuracy | 0.21725536865729772 | (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 (*.f64 (*.f64 x x) x) x #s(literal -1 binary64))) | |
| accuracy | 24.957227694150586 | (*.f64 (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 (*.f64 (*.f64 x x) x) x #s(literal -1 binary64))) (fma.f64 x x #s(literal 1 binary64))) |
| 60.0ms | 120× | 1 | valid |
| 11.0ms | 136× | 0 | valid |
Compiled 75 to 16 computations (78.7% saved)
ival-add: 26.0ms (42% of total)ival-div: 19.0ms (30.7% of total)ival-mult: 8.0ms (12.9% of total)ival-sub: 5.0ms (8.1% of total)adjust: 4.0ms (6.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (*.f64 (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 (*.f64 (*.f64 x x) x) x #s(literal -1 binary64))) (fma.f64 x x #s(literal 1 binary64))) (patch (*.f64 (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 (*.f64 (*.f64 x x) x) x #s(literal -1 binary64))) (fma.f64 x x #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 (*.f64 (*.f64 x x) x) x #s(literal -1 binary64))) (patch (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 (*.f64 (*.f64 x x) x) x #s(literal -1 binary64))) #<representation binary64>) () ()) |
#s(alt #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (patch #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 (*.f64 x x) x) x #s(literal -1 binary64)) (patch (fma.f64 (*.f64 (*.f64 x x) x) x #s(literal -1 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 x x) x) (patch (*.f64 (*.f64 x x) x) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt 2 (taylor 0 x) (#s(alt (*.f64 (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 (*.f64 (*.f64 x x) x) x #s(literal -1 binary64))) (fma.f64 x x #s(literal 1 binary64))) (patch (*.f64 (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 (*.f64 (*.f64 x x) x) x #s(literal -1 binary64))) (fma.f64 x x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 2 (* 2 (pow x 2))) (taylor 0 x) (#s(alt (*.f64 (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 (*.f64 (*.f64 x x) x) x #s(literal -1 binary64))) (fma.f64 x x #s(literal 1 binary64))) (patch (*.f64 (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 (*.f64 (*.f64 x x) x) x #s(literal -1 binary64))) (fma.f64 x x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))) (taylor 0 x) (#s(alt (*.f64 (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 (*.f64 (*.f64 x x) x) x #s(literal -1 binary64))) (fma.f64 x x #s(literal 1 binary64))) (patch (*.f64 (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 (*.f64 (*.f64 x x) x) x #s(literal -1 binary64))) (fma.f64 x x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))))) (taylor 0 x) (#s(alt (*.f64 (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 (*.f64 (*.f64 x x) x) x #s(literal -1 binary64))) (fma.f64 x x #s(literal 1 binary64))) (patch (*.f64 (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 (*.f64 (*.f64 x x) x) x #s(literal -1 binary64))) (fma.f64 x x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt 2 (taylor 0 x) (#s(alt (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 (*.f64 (*.f64 x x) x) x #s(literal -1 binary64))) (patch (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 (*.f64 (*.f64 x x) x) x #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 2 (* 2 (pow x 4))) (taylor 0 x) (#s(alt (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 (*.f64 (*.f64 x x) x) x #s(literal -1 binary64))) (patch (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 (*.f64 (*.f64 x x) x) x #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 2 (* (pow x 4) (+ 2 (* 2 (pow x 4))))) (taylor 0 x) (#s(alt (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 (*.f64 (*.f64 x x) x) x #s(literal -1 binary64))) (patch (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 (*.f64 (*.f64 x x) x) x #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 2 (* (pow x 4) (+ 2 (* (pow x 4) (+ 2 (* 2 (pow x 4))))))) (taylor 0 x) (#s(alt (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 (*.f64 (*.f64 x x) x) x #s(literal -1 binary64))) (patch (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 (*.f64 (*.f64 x x) x) x #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt -2 (taylor 0 x) (#s(alt #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (patch #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt -2 (taylor 0 x) (#s(alt #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (patch #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt -2 (taylor 0 x) (#s(alt #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (patch #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt -2 (taylor 0 x) (#s(alt #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (patch #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt -1 (taylor 0 x) (#s(alt (fma.f64 (*.f64 (*.f64 x x) x) x #s(literal -1 binary64)) (patch (fma.f64 (*.f64 (*.f64 x x) x) x #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (pow x 4) 1) (taylor 0 x) (#s(alt (fma.f64 (*.f64 (*.f64 x x) x) x #s(literal -1 binary64)) (patch (fma.f64 (*.f64 (*.f64 x x) x) x #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (pow x 4) 1) (taylor 0 x) (#s(alt (fma.f64 (*.f64 (*.f64 x x) x) x #s(literal -1 binary64)) (patch (fma.f64 (*.f64 (*.f64 x x) x) x #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (pow x 4) 1) (taylor 0 x) (#s(alt (fma.f64 (*.f64 (*.f64 x x) x) x #s(literal -1 binary64)) (patch (fma.f64 (*.f64 (*.f64 x x) x) x #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor 0 x) (#s(alt (*.f64 (*.f64 x x) x) (patch (*.f64 (*.f64 x x) x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor 0 x) (#s(alt (*.f64 (*.f64 x x) x) (patch (*.f64 (*.f64 x x) x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor 0 x) (#s(alt (*.f64 (*.f64 x x) x) (patch (*.f64 (*.f64 x x) x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor 0 x) (#s(alt (*.f64 (*.f64 x x) x) (patch (*.f64 (*.f64 x x) x) #<representation binary64>) () ())) ()) |
#s(alt (/ -2 (pow x 2)) (taylor inf x) (#s(alt (*.f64 (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 (*.f64 (*.f64 x x) x) x #s(literal -1 binary64))) (fma.f64 x x #s(literal 1 binary64))) (patch (*.f64 (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 (*.f64 (*.f64 x x) x) x #s(literal -1 binary64))) (fma.f64 x x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) (taylor inf x) (#s(alt (*.f64 (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 (*.f64 (*.f64 x x) x) x #s(literal -1 binary64))) (fma.f64 x x #s(literal 1 binary64))) (patch (*.f64 (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 (*.f64 (*.f64 x x) x) x #s(literal -1 binary64))) (fma.f64 x x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2)) (taylor inf x) (#s(alt (*.f64 (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 (*.f64 (*.f64 x x) x) x #s(literal -1 binary64))) (fma.f64 x x #s(literal 1 binary64))) (patch (*.f64 (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 (*.f64 (*.f64 x x) x) x #s(literal -1 binary64))) (fma.f64 x x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2)) (taylor inf x) (#s(alt (*.f64 (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 (*.f64 (*.f64 x x) x) x #s(literal -1 binary64))) (fma.f64 x x #s(literal 1 binary64))) (patch (*.f64 (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 (*.f64 (*.f64 x x) x) x #s(literal -1 binary64))) (fma.f64 x x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ -2 (pow x 4)) (taylor inf x) (#s(alt (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 (*.f64 (*.f64 x x) x) x #s(literal -1 binary64))) (patch (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 (*.f64 (*.f64 x x) x) x #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 4)))) (pow x 4))) (taylor inf x) (#s(alt (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 (*.f64 (*.f64 x x) x) x #s(literal -1 binary64))) (patch (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 (*.f64 (*.f64 x x) x) x #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 4)))) (pow x 4))) 2) (pow x 4)) (taylor inf x) (#s(alt (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 (*.f64 (*.f64 x x) x) x #s(literal -1 binary64))) (patch (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 (*.f64 (*.f64 x x) x) x #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 4)))) (pow x 8))) (+ 2 (* 2 (/ 1 (pow x 4))))) (pow x 4)) (taylor inf x) (#s(alt (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 (*.f64 (*.f64 x x) x) x #s(literal -1 binary64))) (patch (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 (*.f64 (*.f64 x x) x) x #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt -2 (taylor inf x) (#s(alt #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (patch #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt -2 (taylor inf x) (#s(alt #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (patch #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt -2 (taylor inf x) (#s(alt #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (patch #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt -2 (taylor inf x) (#s(alt #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (patch #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 4) (taylor inf x) (#s(alt (fma.f64 (*.f64 (*.f64 x x) x) x #s(literal -1 binary64)) (patch (fma.f64 (*.f64 (*.f64 x x) x) x #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 4) (- 1 (/ 1 (pow x 4)))) (taylor inf x) (#s(alt (fma.f64 (*.f64 (*.f64 x x) x) x #s(literal -1 binary64)) (patch (fma.f64 (*.f64 (*.f64 x x) x) x #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 4) (- 1 (/ 1 (pow x 4)))) (taylor inf x) (#s(alt (fma.f64 (*.f64 (*.f64 x x) x) x #s(literal -1 binary64)) (patch (fma.f64 (*.f64 (*.f64 x x) x) x #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 4) (- 1 (/ 1 (pow x 4)))) (taylor inf x) (#s(alt (fma.f64 (*.f64 (*.f64 x x) x) x #s(literal -1 binary64)) (patch (fma.f64 (*.f64 (*.f64 x x) x) x #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor inf x) (#s(alt (*.f64 (*.f64 x x) x) (patch (*.f64 (*.f64 x x) x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor inf x) (#s(alt (*.f64 (*.f64 x x) x) (patch (*.f64 (*.f64 x x) x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor inf x) (#s(alt (*.f64 (*.f64 x x) x) (patch (*.f64 (*.f64 x x) x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor inf x) (#s(alt (*.f64 (*.f64 x x) x) (patch (*.f64 (*.f64 x x) x) #<representation binary64>) () ())) ()) |
#s(alt (/ -2 (pow x 2)) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 (*.f64 (*.f64 x x) x) x #s(literal -1 binary64))) (fma.f64 x x #s(literal 1 binary64))) (patch (*.f64 (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 (*.f64 (*.f64 x x) x) x #s(literal -1 binary64))) (fma.f64 x x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 (*.f64 (*.f64 x x) x) x #s(literal -1 binary64))) (fma.f64 x x #s(literal 1 binary64))) (patch (*.f64 (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 (*.f64 (*.f64 x x) x) x #s(literal -1 binary64))) (fma.f64 x x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2)) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 (*.f64 (*.f64 x x) x) x #s(literal -1 binary64))) (fma.f64 x x #s(literal 1 binary64))) (patch (*.f64 (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 (*.f64 (*.f64 x x) x) x #s(literal -1 binary64))) (fma.f64 x x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2)) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 (*.f64 (*.f64 x x) x) x #s(literal -1 binary64))) (fma.f64 x x #s(literal 1 binary64))) (patch (*.f64 (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 (*.f64 (*.f64 x x) x) x #s(literal -1 binary64))) (fma.f64 x x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ -2 (pow x 4)) (taylor -inf x) (#s(alt (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 (*.f64 (*.f64 x x) x) x #s(literal -1 binary64))) (patch (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 (*.f64 (*.f64 x x) x) x #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 4)))) (pow x 4))) (taylor -inf x) (#s(alt (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 (*.f64 (*.f64 x x) x) x #s(literal -1 binary64))) (patch (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 (*.f64 (*.f64 x x) x) x #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 4)))) (pow x 4))) 2) (pow x 4)) (taylor -inf x) (#s(alt (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 (*.f64 (*.f64 x x) x) x #s(literal -1 binary64))) (patch (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 (*.f64 (*.f64 x x) x) x #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 4)))) (pow x 8))) (+ 2 (* 2 (/ 1 (pow x 4))))) (pow x 4)) (taylor -inf x) (#s(alt (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 (*.f64 (*.f64 x x) x) x #s(literal -1 binary64))) (patch (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 (*.f64 (*.f64 x x) x) x #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt -2 (taylor -inf x) (#s(alt #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (patch #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt -2 (taylor -inf x) (#s(alt #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (patch #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt -2 (taylor -inf x) (#s(alt #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (patch #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt -2 (taylor -inf x) (#s(alt #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (patch #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 4) (taylor -inf x) (#s(alt (fma.f64 (*.f64 (*.f64 x x) x) x #s(literal -1 binary64)) (patch (fma.f64 (*.f64 (*.f64 x x) x) x #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 4) (- 1 (/ 1 (pow x 4)))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 (*.f64 x x) x) x #s(literal -1 binary64)) (patch (fma.f64 (*.f64 (*.f64 x x) x) x #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 4) (- 1 (/ 1 (pow x 4)))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 (*.f64 x x) x) x #s(literal -1 binary64)) (patch (fma.f64 (*.f64 (*.f64 x x) x) x #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 4) (- 1 (/ 1 (pow x 4)))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 (*.f64 x x) x) x #s(literal -1 binary64)) (patch (fma.f64 (*.f64 (*.f64 x x) x) x #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor -inf x) (#s(alt (*.f64 (*.f64 x x) x) (patch (*.f64 (*.f64 x x) x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor -inf x) (#s(alt (*.f64 (*.f64 x x) x) (patch (*.f64 (*.f64 x x) x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor -inf x) (#s(alt (*.f64 (*.f64 x x) x) (patch (*.f64 (*.f64 x x) x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor -inf x) (#s(alt (*.f64 (*.f64 x x) x) (patch (*.f64 (*.f64 x x) x) #<representation binary64>) () ())) ()) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | ((* (/ (- (- (- x 1) x) 1) (+ (* (* (* x x) x) x) -1)) (+ (* x x) 1)) (/ (- (- (- x 1) x) 1) (+ (* (* (* x x) x) x) -1)) (- (- (- x 1) x) 1) (+ (* (* (* x x) x) x) -1) (* (* x x) x)) |
| 1.0ms | x | @ | -inf | ((* (/ (- (- (- x 1) x) 1) (+ (* (* (* x x) x) x) -1)) (+ (* x x) 1)) (/ (- (- (- x 1) x) 1) (+ (* (* (* x x) x) x) -1)) (- (- (- x 1) x) 1) (+ (* (* (* x x) x) x) -1) (* (* x x) x)) |
| 1.0ms | x | @ | 0 | ((* (/ (- (- (- x 1) x) 1) (+ (* (* (* x x) x) x) -1)) (+ (* x x) 1)) (/ (- (- (- x 1) x) 1) (+ (* (* (* x x) x) x) -1)) (- (- (- x 1) x) 1) (+ (* (* (* x x) x) x) -1) (* (* x x) x)) |
| 1× | egg-herbie |
| 23 338× | lower-fma.f64 |
| 23 338× | lower-fma.f32 |
| 4 444× | lower-*.f64 |
| 4 444× | lower-*.f32 |
| 3 360× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 51 | 416 |
| 1 | 135 | 416 |
| 2 | 370 | 388 |
| 3 | 996 | 372 |
| 4 | 3420 | 372 |
| 5 | 7614 | 372 |
| 0 | 8245 | 364 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
2 |
(+ 2 (* 2 (pow x 2))) |
(+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))) |
(+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))))) |
2 |
(+ 2 (* 2 (pow x 4))) |
(+ 2 (* (pow x 4) (+ 2 (* 2 (pow x 4))))) |
(+ 2 (* (pow x 4) (+ 2 (* (pow x 4) (+ 2 (* 2 (pow x 4))))))) |
-2 |
-2 |
-2 |
-2 |
-1 |
(- (pow x 4) 1) |
(- (pow x 4) 1) |
(- (pow x 4) 1) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(/ -2 (pow x 2)) |
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) |
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2)) |
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2)) |
(/ -2 (pow x 4)) |
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 4)))) (pow x 4))) |
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 4)))) (pow x 4))) 2) (pow x 4)) |
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 4)))) (pow x 8))) (+ 2 (* 2 (/ 1 (pow x 4))))) (pow x 4)) |
-2 |
-2 |
-2 |
-2 |
(pow x 4) |
(* (pow x 4) (- 1 (/ 1 (pow x 4)))) |
(* (pow x 4) (- 1 (/ 1 (pow x 4)))) |
(* (pow x 4) (- 1 (/ 1 (pow x 4)))) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(/ -2 (pow x 2)) |
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) |
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2)) |
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2)) |
(/ -2 (pow x 4)) |
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 4)))) (pow x 4))) |
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 4)))) (pow x 4))) 2) (pow x 4)) |
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 4)))) (pow x 8))) (+ 2 (* 2 (/ 1 (pow x 4))))) (pow x 4)) |
-2 |
-2 |
-2 |
-2 |
(pow x 4) |
(* (pow x 4) (- 1 (/ 1 (pow x 4)))) |
(* (pow x 4) (- 1 (/ 1 (pow x 4)))) |
(* (pow x 4) (- 1 (/ 1 (pow x 4)))) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
| Outputs |
|---|
2 |
#s(literal 2 binary64) |
(+ 2 (* 2 (pow x 2))) |
(fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)) |
(+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))) |
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 x x) #s(literal 2 binary64)) |
(+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))))) |
(*.f64 (fma.f64 (*.f64 (*.f64 x x) x) x #s(literal 1 binary64)) (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64))) |
2 |
#s(literal 2 binary64) |
(+ 2 (* 2 (pow x 4))) |
(fma.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) (*.f64 x x) #s(literal 2 binary64)) |
(+ 2 (* (pow x 4) (+ 2 (* 2 (pow x 4))))) |
(fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) x) x #s(literal 1 binary64)) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 2 binary64)) #s(literal 2 binary64)) |
(+ 2 (* (pow x 4) (+ 2 (* (pow x 4) (+ 2 (* 2 (pow x 4))))))) |
(*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 (*.f64 (*.f64 x x) x) x #s(literal 1 binary64))) #s(literal 2 binary64)) |
-2 |
#s(literal -2 binary64) |
-2 |
#s(literal -2 binary64) |
-2 |
#s(literal -2 binary64) |
-2 |
#s(literal -2 binary64) |
-1 |
#s(literal -1 binary64) |
(- (pow x 4) 1) |
(fma.f64 (*.f64 (*.f64 x x) x) x #s(literal -1 binary64)) |
(- (pow x 4) 1) |
(fma.f64 (*.f64 (*.f64 x x) x) x #s(literal -1 binary64)) |
(- (pow x 4) 1) |
(fma.f64 (*.f64 (*.f64 x x) x) x #s(literal -1 binary64)) |
(pow x 3) |
(*.f64 (*.f64 x x) x) |
(pow x 3) |
(*.f64 (*.f64 x x) x) |
(pow x 3) |
(*.f64 (*.f64 x x) x) |
(pow x 3) |
(*.f64 (*.f64 x x) x) |
(/ -2 (pow x 2)) |
(/.f64 #s(literal -2 binary64) (*.f64 x x)) |
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) |
(/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x x)) |
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2)) |
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 x x)) |
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2)) |
(*.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)) (*.f64 x x)) (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)))) |
(/ -2 (pow x 4)) |
(/.f64 #s(literal -2 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) |
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 4)))) (pow x 4))) |
(/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 x x) x) x))) (*.f64 (*.f64 (*.f64 x x) x) x)) |
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 4)))) (pow x 4))) 2) (pow x 4)) |
(/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal -2 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x))) (*.f64 (*.f64 (*.f64 x x) x) x)) |
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 4)))) (pow x 8))) (+ 2 (* 2 (/ 1 (pow x 4))))) (pow x 4)) |
(*.f64 (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 (*.f64 (*.f64 x x) x) x))) #s(literal -2 binary64))) |
-2 |
#s(literal -2 binary64) |
-2 |
#s(literal -2 binary64) |
-2 |
#s(literal -2 binary64) |
-2 |
#s(literal -2 binary64) |
(pow x 4) |
(*.f64 (*.f64 (*.f64 x x) x) x) |
(* (pow x 4) (- 1 (/ 1 (pow x 4)))) |
(fma.f64 (*.f64 (*.f64 x x) x) x #s(literal -1 binary64)) |
(* (pow x 4) (- 1 (/ 1 (pow x 4)))) |
(fma.f64 (*.f64 (*.f64 x x) x) x #s(literal -1 binary64)) |
(* (pow x 4) (- 1 (/ 1 (pow x 4)))) |
(fma.f64 (*.f64 (*.f64 x x) x) x #s(literal -1 binary64)) |
(pow x 3) |
(*.f64 (*.f64 x x) x) |
(pow x 3) |
(*.f64 (*.f64 x x) x) |
(pow x 3) |
(*.f64 (*.f64 x x) x) |
(pow x 3) |
(*.f64 (*.f64 x x) x) |
(/ -2 (pow x 2)) |
(/.f64 #s(literal -2 binary64) (*.f64 x x)) |
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) |
(/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x x)) |
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2)) |
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 x x)) |
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2)) |
(*.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)) (*.f64 x x)) (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)))) |
(/ -2 (pow x 4)) |
(/.f64 #s(literal -2 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) |
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 4)))) (pow x 4))) |
(/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 x x) x) x))) (*.f64 (*.f64 (*.f64 x x) x) x)) |
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 4)))) (pow x 4))) 2) (pow x 4)) |
(/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal -2 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x))) (*.f64 (*.f64 (*.f64 x x) x) x)) |
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 4)))) (pow x 8))) (+ 2 (* 2 (/ 1 (pow x 4))))) (pow x 4)) |
(*.f64 (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 (*.f64 (*.f64 x x) x) x))) #s(literal -2 binary64))) |
-2 |
#s(literal -2 binary64) |
-2 |
#s(literal -2 binary64) |
-2 |
#s(literal -2 binary64) |
-2 |
#s(literal -2 binary64) |
(pow x 4) |
(*.f64 (*.f64 (*.f64 x x) x) x) |
(* (pow x 4) (- 1 (/ 1 (pow x 4)))) |
(fma.f64 (*.f64 (*.f64 x x) x) x #s(literal -1 binary64)) |
(* (pow x 4) (- 1 (/ 1 (pow x 4)))) |
(fma.f64 (*.f64 (*.f64 x x) x) x #s(literal -1 binary64)) |
(* (pow x 4) (- 1 (/ 1 (pow x 4)))) |
(fma.f64 (*.f64 (*.f64 x x) x) x #s(literal -1 binary64)) |
(pow x 3) |
(*.f64 (*.f64 x x) x) |
(pow x 3) |
(*.f64 (*.f64 x x) x) |
(pow x 3) |
(*.f64 (*.f64 x x) x) |
(pow x 3) |
(*.f64 (*.f64 x x) x) |
| 6 782× | lower-fma.f32 |
| 6 778× | lower-fma.f64 |
| 3 844× | lower-*.f32 |
| 3 838× | lower-*.f64 |
| 3 530× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 63 |
| 0 | 21 | 55 |
| 1 | 108 | 52 |
| 2 | 924 | 37 |
| 0 | 8625 | 36 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 (*.f64 (*.f64 x x) x) x #s(literal -1 binary64))) (fma.f64 x x #s(literal 1 binary64))) |
(/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 (*.f64 (*.f64 x x) x) x #s(literal -1 binary64))) |
#s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) |
(fma.f64 (*.f64 (*.f64 x x) x) x #s(literal -1 binary64)) |
(*.f64 (*.f64 x x) x) |
| Outputs |
|---|
(*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 x x) x) x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64))) (/.f64 (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 (*.f64 (*.f64 x x) x) x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64)))) |
(*.f64 (/.f64 (neg.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64)))) |
(*.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (neg.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64))) (fma.f64 (*.f64 (*.f64 x x) x) x #s(literal -1 binary64)))) |
(*.f64 (/.f64 (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 (*.f64 (*.f64 x x) x) x #s(literal -1 binary64))) (-.f64 x #s(literal -1 binary64))) (/.f64 (fma.f64 (*.f64 (*.f64 x x) x) x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) |
(*.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal -1 binary64))) (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 x x) x) x #s(literal 1 binary64))))) |
(*.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x)) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x)) #s(literal -1 binary64))) (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) x) (*.f64 (*.f64 x x) x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)))))) |
(*.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))) (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 x x #s(literal -1 binary64)))) |
(*.f64 (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 x x #s(literal 1 binary64))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) |
(*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 (*.f64 (*.f64 x x) x) x #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 x x) x) x (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64))))) |
(*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 x x) x) x #s(literal -1 binary64)) (fma.f64 (*.f64 (*.f64 x x) x) x #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64))))) |
(*.f64 (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal -1 binary64))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 x x) x) x #s(literal 1 binary64))))) |
(*.f64 (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x)) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x)) #s(literal -1 binary64))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) x) (*.f64 (*.f64 x x) x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)))))) |
(*.f64 (*.f64 (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 (*.f64 (*.f64 x x) x) x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64)))) (fma.f64 (*.f64 (*.f64 x x) x) x #s(literal 1 binary64))) |
(*.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64))) (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x)) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x)) #s(literal -1 binary64))) (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) x) (*.f64 (*.f64 x x) x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)))) |
(*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) x) x #s(literal -1 binary64)) (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 (*.f64 (*.f64 x x) x) x #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64)))) |
(*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 (*.f64 (*.f64 x x) x) x #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 x x) x) x (fma.f64 (neg.f64 x) x #s(literal 1 binary64))))) |
(*.f64 (*.f64 (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 (*.f64 (*.f64 x x) x) x #s(literal -1 binary64))) (fma.f64 (*.f64 (*.f64 x x) x) x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64)))) |
(*.f64 (*.f64 (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 (*.f64 (*.f64 x x) x) x #s(literal -1 binary64))) (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 x x) x) x (fma.f64 (neg.f64 x) x #s(literal 1 binary64))))) |
(*.f64 (*.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 (*.f64 (*.f64 x x) x) x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 (*.f64 x x) x) x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))))) |
(*.f64 (*.f64 (*.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64)))) (*.f64 (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 (*.f64 (*.f64 x x) x) x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 (*.f64 (*.f64 x x) x) x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64))))) |
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(fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1 binary64)) |
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal -1 binary64)) |
(fma.f64 x (fma.f64 (*.f64 x x) x x) (*.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64)))) |
(fma.f64 x (fma.f64 (*.f64 x x) x x) (*.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64))) |
(fma.f64 x (neg.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1 binary64))) #s(literal -1 binary64)) |
(fma.f64 x (*.f64 (*.f64 x x) x) #s(literal -1 binary64)) |
(expm1.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))) |
(expm1.f64 (*.f64 (log.f64 x) #s(literal 4 binary64))) |
(expm1.f64 (*.f64 #s(literal 4 binary64) (log.f64 x))) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 x x) x) x))) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) x) (*.f64 (*.f64 x x) x)) (-.f64 #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)))) |
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x)) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x))) (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) x) (*.f64 (*.f64 x x) x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) x) (*.f64 (*.f64 x x) x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) x) x))))) |
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) x) (*.f64 (*.f64 x x) x)) (fma.f64 (*.f64 (*.f64 x x) x) x #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 x x) x) x #s(literal 1 binary64))) #s(literal 1 binary64))) |
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) x) (*.f64 (*.f64 x x) x)) (fma.f64 (*.f64 (*.f64 x x) x) x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 x x) x) x #s(literal 1 binary64)))) |
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) x) x))) |
(-.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1 binary64)) |
(+.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 x x)) (*.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64)))) |
(+.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 x x)) (*.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64))) |
(+.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) x) (*.f64 (*.f64 x x) x)) (fma.f64 (*.f64 (*.f64 x x) x) x #s(literal 1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 x x) x) x #s(literal 1 binary64))))) |
(+.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal -1 binary64)) |
(+.f64 #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) |
(*.f64 (pow.f64 (*.f64 x x) #s(literal 3/4 binary64)) (pow.f64 (*.f64 x x) #s(literal 3/4 binary64))) |
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)) (*.f64 (*.f64 x x) x)) |
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) |
(*.f64 (*.f64 (*.f64 x x) x) (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64))) |
(*.f64 (*.f64 (*.f64 x x) x) #s(literal 1 binary64)) |
(*.f64 (*.f64 x x) x) |
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) |
(*.f64 x (*.f64 x x)) |
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 3 binary64)) |
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64)) |
(pow.f64 x #s(literal 3 binary64)) |
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 3/2 binary64))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) |
Compiled 13 779 to 980 computations (92.9% saved)
7 alts after pruning (1 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 393 | 1 | 394 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 6 | 6 |
| Total | 394 | 7 | 401 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 53.2% | (/.f64 #s(approx (/ (- (- (- x 1) x) 1) (- x 1)) #s(literal 2 binary64)) (-.f64 x #s(literal -1 binary64))) |
| ✓ | 99.8% | (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 x x #s(literal -1 binary64))) |
| 9.6% | (*.f64 (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) #s(approx (+ (* (* (* x x) x) x) -1) (*.f64 (*.f64 (*.f64 x x) x) x))) (fma.f64 x x #s(literal 1 binary64))) | |
| ✓ | 51.6% | #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64))) |
| ✓ | 49.4% | #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal -2 binary64) x) x)) |
| ✓ | 49.3% | #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) (*.f64 x x))) |
| ✓ | 52.1% | #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(literal 2 binary64)) |
Compiled 177 to 69 computations (61% saved)
| Inputs |
|---|
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(literal 2 binary64)) |
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64))) |
(/.f64 #s(approx (/ (- (- (- x 1) x) 1) (- x 1)) #s(literal 2 binary64)) (-.f64 x #s(literal -1 binary64))) |
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) (*.f64 x x))) |
(/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 x x #s(literal -1 binary64))) |
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal -2 binary64) x) x)) |
(/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))) |
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) |
(*.f64 (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) #s(approx (+ (* (* (* x x) x) x) -1) (*.f64 (*.f64 (*.f64 x x) x) x))) (fma.f64 x x #s(literal 1 binary64))) |
(/.f64 (/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x)) (-.f64 #s(literal 1 binary64) x)) |
(/.f64 (/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 (*.f64 (*.f64 x x) x) x #s(literal -1 binary64))) (fma.f64 x x #s(literal 1 binary64))) |
| Outputs |
|---|
(/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 x x #s(literal -1 binary64))) |
2 calls:
| 4.0ms | x |
| 3.0ms | (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 1 | x |
| 99.8% | 1 | (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) |
Compiled 14 to 8 computations (42.9% saved)
| Inputs |
|---|
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(literal 2 binary64)) |
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64))) |
(/.f64 #s(approx (/ (- (- (- x 1) x) 1) (- x 1)) #s(literal 2 binary64)) (-.f64 x #s(literal -1 binary64))) |
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) (*.f64 x x))) |
| Outputs |
|---|
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64))) |
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) (*.f64 x x))) |
2 calls:
| 2.0ms | x |
| 2.0ms | (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.6% | 2 | (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) |
| 99.6% | 2 | x |
Compiled 14 to 8 computations (42.9% saved)
| Inputs |
|---|
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(literal 2 binary64)) |
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64))) |
(/.f64 #s(approx (/ (- (- (- x 1) x) 1) (- x 1)) #s(literal 2 binary64)) (-.f64 x #s(literal -1 binary64))) |
| Outputs |
|---|
(/.f64 #s(approx (/ (- (- (- x 1) x) 1) (- x 1)) #s(literal 2 binary64)) (-.f64 x #s(literal -1 binary64))) |
2 calls:
| 2.0ms | x |
| 1.0ms | (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 53.2% | 1 | x |
| 53.2% | 1 | (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) |
Compiled 14 to 8 computations (42.9% saved)
Total -0.4b remaining (-1.3%)
Threshold costs -0.4b (-1.3%)
| Inputs |
|---|
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(literal 2 binary64)) |
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64))) |
| Outputs |
|---|
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(literal 2 binary64)) |
2 calls:
| 7.0ms | (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) |
| 1.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 52.1% | 1 | x |
| 52.1% | 1 | (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) |
Compiled 14 to 8 computations (42.9% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 13.0ms | 1.0014744042096856e-7 | 1644.6501525381034 |
| 7.0ms | 160× | 0 | valid |
Compiled 185 to 111 computations (40% saved)
ival-div: 2.0ms (45.5% of total)ival-sub: 1.0ms (22.8% of total)ival-add: 1.0ms (22.8% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 4× | +-commutative_binary64 |
| 4× | sub-neg_binary64 |
| 2× | 1-exp_binary64 |
| 2× | neg-sub0_binary64 |
| 2× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 83 |
| 1 | 32 | 83 |
| 2 | 35 | 83 |
| 3 | 36 | 83 |
| 4 | 37 | 83 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 x x #s(literal -1 binary64))) |
(if (<=.f64 x #s(literal 1 binary64)) #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64))) #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) (*.f64 x x)))) |
(/.f64 #s(approx (/ (- (- (- x 1) x) 1) (- x 1)) #s(literal 2 binary64)) (-.f64 x #s(literal -1 binary64))) |
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(literal 2 binary64)) |
| Outputs |
|---|
(/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 x x #s(literal -1 binary64))) |
(if (<=.f64 x #s(literal 1 binary64)) #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64))) #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) (*.f64 x x)))) |
(/.f64 #s(approx (/ (- (- (- x 1) x) 1) (- x 1)) #s(literal 2 binary64)) (-.f64 x #s(literal -1 binary64))) |
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(literal 2 binary64)) |
| 10 802× | lower-fma.f64 |
| 10 802× | lower-fma.f32 |
| 10 646× | lower-fma.f64 |
| 10 646× | lower-fma.f32 |
| 10 498× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 24 |
| 0 | 12 | 24 |
| 1 | 66 | 24 |
| 2 | 644 | 24 |
| 0 | 9039 | 22 |
| 0 | 63 | 1154 |
| 1 | 183 | 1150 |
| 2 | 497 | 1072 |
| 3 | 1450 | 1032 |
| 4 | 4088 | 1032 |
| 0 | 8264 | 993 |
| 0 | 80 | 405 |
| 1 | 220 | 395 |
| 2 | 557 | 373 |
| 3 | 1750 | 352 |
| 4 | 5230 | 352 |
| 0 | 8132 | 343 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 127 to 60 computations (52.8% saved)
(abs x)
Compiled 106 to 52 computations (50.9% saved)
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